To calculate the deceleration of a snowboarder going uphill on a 5.0° slope, use the formula a = g(sin(θ) − μk cos(θ)), where θ is the angle of the slope, g is the acceleration due to gravity, and μk is the coefficient of kinetic friction for waxed wood on wet snow.
Explanation:Calculation of Deceleration of a Snowboarder Going Uphill
To calculate the deceleration of a snowboarder going uphill on a 5.0° slope, we can use the formula a = g(sin(θ) − μk cos(θ)). Here, θ is the angle of the slope, g is the acceleration due to gravity (9.8 m/s²), and μk is the coefficient of kinetic friction for waxed wood on wet snow.
Plugging in the values, we have a = 9.8(sin(5.0°) − μk cos(5.0°)). However, since the snowboarder is going uphill, the acceleration will be in the opposite direction of motion, so the magnitude will be the negative value of a. Hence, the deceleration will be -9.8(sin(5.0°) − μk cos(5.0°)).
Remember to substitute the appropriate value for μk based on the coefficient of friction for waxed wood on wet snow.
The carpal bones in the hands are an example of __________.
Answer:
A gliding joint means a freely moving joint in which the articulations allow only gliding motions
Explanation:
A satellite revolves around a planet at an altitude equal to the radius of the planet. the force of gravitational interaction between the satellite and the planet is f0. then the satellite is brought back to the surface of the planet. find the new force of gravitational interaction f4. express your answer in terms of f0.
Newton's first law of motion states that an object remains at rest unless a(n) ____ force acts on it. a. balanced c. gravitational b. frictional d. unbalanced Please select the best answer from the choice
Encoding information occurs throughout?
Encoding is a cognitive process happening at all stages of learning - acquisition, storage, and retrieval. It's crucial for learning new information or skills and happens continuously.
Explanation:Encoding information occurs throughout the entire learning process. This cognitive process is essential in enabling us to acquire, store, and retrieve information. For example, while learning a new language, you first encode the foreign words and their meanings (acquisition), then store that encoded information in your memory (storage), and finally recall those words during a conversation (retrieval). Therefore, encoding is a continuous cycle that occurs throughout the process of learning any subject or skill.
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12 points. Change of state:
Identify the process that causes each change of sate describe below, Write the appropriate answer on the space provided.
_______a. an ice cube left in a freezer for a month becomes smaller.
_______b. drops of water appear on the side of a glass of ice water.
_______c. a rainy morning turns sunny, and puddles disappear from a sidewalk.
Describe what would happen if you rubbed a mineral with a Mohs hardness value of 7 against a mineral with a value of 5?
If a mineral with a Moh's hardness value of 7 is rubbed against the mineral with a value of 5, the mineral with value 5 get scratched with the mineral with hardness value 7.
• A scale of relative mineral hardness invented by German scientist Mohs is known as the Mohs scale of hardness or Mohs scale.
• It is a 10 point scale, with 10 given to mineral diamond as the most hardest mineral, which can scratch the minerals below it, that is, coming below it in the hardness scale.
• The minerals coming in the 7 scale are Quartz, Citrine, Agate, and Amethyst, and the mineral coming in the 5 scale is apatite.
• Thus, when one rubs the mineral with 7 hardness with a mineral with 5 hardness, than the mineral with 5 hardness will easily get scratched as it is less harder to the mineral in the 7 scale.
Thus, the mineral with value 5 get scratched with the mineral with hardness value 7.
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A 20000 kg rocket has a rocket motor that generates 3.0×105 n of thrust. part a what is the rocket's initial upward acceleration?
Answer:
a=5.20 m/s²
Explanation:
Given Data
Thrust = T (N)=3.0×10⁵N
Mass=m=20000kg
To find
acceleration=a=?
Solution
Newton Second law states that
The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
(resultant force F)=ma
a=(resultant force F)/m
where
(resultant force F) is (Thrust-weight)
Weight = mg = 2.0^4 kg*9.8 N/kg = 1.96^5 N
a = (resultant force F) / mass
a = (T - mg)/m = (3.0^5 N - 1.96^5 N)/ 2.0^4 kg
a=5.20 m/s²
The rocket's initial upward acceleration is 5.2m/s²
According to Newton's second law of motion
[tex]\sum F = ma[/tex]
The sum of forces is the difference between the weight and the thrust
[tex]\sum F = T -W[/tex]
[tex]T - W = ma\\a=\frac{T-W}{a}[/tex]
Given the following parameters:
T = [tex]3.0 \times 10^5 N[/tex]
W = [tex]20,000 \times 9.8 = 1.96 \times 10^5 N[/tex]
m = [tex]20,000kg[/tex]
Substitute the given parameters into the formula to have:
[tex]a=\frac{(3.0-1.96)\times 10^5}{2\times 10^4} \\a=\frac{1.04\times 10^5}{2\times 10^4} \\a = 0.52 \tmes 10\\a = 5.2m/s^2[/tex]
Hence the rocket's initial upward acceleration is 5.2m/s²
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the work a force does on an object depends on
A favorable entropy change occurs when δs is positive. what can be said about the order of the system when δs is positive?
A positive entropy change (delta S) indicates that the system has become less ordered, as there is an increase in the number of possible microstates. This is aligned with the Second Law of Thermodynamics, which states that entropy increases in spontaneous processes, leading to greater disorder.
Explanation:When a system undergoes a change and the entropy change (δS) is positive, this implies that the order of the system has decreased. This is because positive entropy reflects an increase in the number of microstates or possible configurations that the system can adopt, leading to a less ordered, more random state. A common example is the melting of a solid into a liquid where the rigid structure of the solid is lost, providing the particles more freedom to move in the liquid state, which translates into an increased entropy.
As per the Second Law of Thermodynamics, for all spontaneous processes in the real world, the change in entropy is positive (dδS > 0), which is consistent with the natural tendency for systems to move towards greater disorder and randomness. This concept is fundamental in predicting the spontaneous direction of chemical and physical processes. For instance, when a liquid freezes into a solid, the process is accompanied by a negative entropy change, signifying increased order in the system.
Final answer:
A positive entropy change (δS > 0) means that the order of the system has decreased, leading to a more disordered and randomized state with more microstates. This is in line with the Second Law of Thermodynamics, which predicts that the entropy of an isolated system tends to increase in spontaneous processes.
Explanation:
When the entropy change (δS) is positive, it indicates that the order of the system has decreased. This is because a positive δS suggests that the number of microstates and, therefore, the randomness of the system has increased. For example, when a solid changes into a liquid, there is an increase in entropy because the liquid state allows the particles more freedom of movement and positioning, leading to a higher number of microstates compared to the solid state. If the process were reversed and the liquid turned into a solid, δS would be negative, signifying a decrease in entropy as the system becomes more ordered.
Furthermore, the Second Law of Thermodynamics asserts that for any spontaneous process, the entropy of an isolated system will increase. This means the system will move towards a state with more microstates or higher disorder. It aligns with the observation that in irreversible processes, entropy tends to increase, indicating a spontaneous change in an isolated system.
In conclusion, a positive entropy change (δS > 0) aligns with the expectation that there are more microstates available in the final state compared to the initial one, resulting in a decrease in the orderliness of the system. The increase in entropy reflects the fundamental tendency for systems to evolve towards states of higher disorder and randomness.
if you push a block across the floor with constant force the block will
A golf ball is hit with an initial speed of 33 m/s at an angle less than 45∘ above the horizontal.
What kind of materials can become electrically charged when they are rubbed together?
Answer:
When insulating materials rub against each other, they may become electrically charged . Electrons , which are negatively charged, may be 'rubbed off' one material and on to the other. The material that gains electrons becomes negatively charged.
Explanation:
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Why is the primary mirror in a telescope curved?
to magnify the image
to direct light rays to a focal point to intensify them
to change the direction of the rays
to bend the rays
to absorb extra light
Answer: to direct light rays to a focal point
Explanation:
A reflecting telescope uses curved mirror as primary and a plane mirror placed at an angle as secondary. A curved mirror is used as primary because this mirror collects the light from distant celestial object and converges its light at focus where the plane mirror is kept at an angle so that the reflected light is received by the eyepiece.
It is used as a curved primary mirror in a telescope because to direct light rays to a focal point.
What lenses are used in the telescope?For the construction of a telescope, the physicist Galileo used a lens of the converging type and a lens of the diverging type. In his telescope, the first lens, called the objective, formed a real image of the object in question.
A reflecting telescope uses curved mirror as primary because this mirror collects the light from distant celestial object and converges its light at focus where the plane mirror is kept at an angle so that the reflected light is received by the eyepiece.
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Which of the following is an example of speed?
A) 8m/s
B) 7 m/s north
C) -3 m/s^2 east
D) 5 m/s^2 east
which measurement gives the most accurate number for a population in an area?
A) add the biodiversity of an area to the carrying capacity.
B) add the individuals who come into an area because of reproduction or immigration.
C) add the individuals living or born in an area and subtract those who die.
D) subtract the animals that die from the total carrying capacity.
The most accurate number for a population in an area is measured by adding the individuals living or born in an area and subtract those who die. So, option C.
The amount of people living in a particular area is called population density.
The majority of the time, it applies to people, but occasionally it also does to other living things. It is a significant geographic term. Population density is the total number of people residing in a certain area per square kilometer, or other units of land area.
Demography is the statistical study of populations and how they change through time.
Population size, or the total number of people, and population density, or the number of people per unit of space or volume, are the two most important measurements of a population.
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Final answer:
The most accurate way to measure population size is by adding the number of births and individuals present, while subtracting the number of deaths (which corresponds to option C). Sampling techniques like quadrats and mark-recapture are often used due to the impracticality of counting all individuals.
Explanation:
In the context of estimating population size, the most accurate measurement for a population in an area would be to add the individuals living or born in an area and subtract those who die (Option C). This method accounts for natural population changes such as births and deaths.
Although counting all individuals would provide the most precise number, this is often not feasible. Instead, scientists often use sampling techniques to estimate population size. For stationary or slow-moving organisms, a quadrat can be used, while for mobile organisms, methods like mark and recapture might be employed.
Carrying capacity is a separate concept indicating how many individuals an area can sustain based on resources. Adjustments to population estimates may be necessary when populations near their carrying capacity, as density-dependent factors might affect population growth.
What is the boiling point of oxygen
The boiling point of oxygen is 90.2 K or -183.15 °C.
At standard atmospheric pressure, the boiling point of oxygen is 90.2 K, which is equivalent to -183.15 °C or -297.67 °F.This allows oxygen to be separated from nitrogen and other components in liquid air through fractional distillation due to their different boiling points.In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is 1.14 m. The mug slides off the counter and strikes the floor 0.60 m from the base of the counter.
The student's question pertains to the physics concept of projectile motion. The mug's trajectory is determined by its initial horizontal velocity, the counter's height, and gravity. One could compute the time it takes for the mug to hit the ground and its initial speed.
Explanation:
This question is about the physics concept of projectile motion. When the beer mug slides off the counter and falls to the ground, it follows a trajectory determined by the initial horizontal velocity at which it was pushed, the height of the counter, and the acceleration due to gravity.
To find out how long it takes for the mug to hit the ground, we can use the equation of motion: h = 0.5gt^2, where h is the height from which the object is dropped (1.14m in this case), g is acceleration due to gravity (approximately 9.8 m/s^2) and t is time. Solving for t gives us the time it takes for the mug to hit the floor.
Once we know the time, we can find the initial horizontal velocity using the formula v = d/t, where v is velocity, d is distance (0.60m) and t is time. This gives us the initial speed at which the mug was slid.
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The branch of mechanics dealing with the mathematical methods of describing motion is calle
Part b suppose the magnitude of the gravitational force between two spherical objects is 2000 n when they are 100 km apart. what is the magnitude of the gravitational force fg between the objects if the distance between them is 150 km ? express your answer in newtons to three significant figures. hints fg = 889 n submitmy answersgive up correct significant figures feedback: your answer 890 n was either rounded differently or used a different number of significant figures than required for this part. part c what is the gravitational force fg between the two objects described in part b if the distance between them is only 50 km ?
(b). The gravitational force between the objects when they are 150 km apart is [tex]\boxed{889\,{\text{N}}}[/tex].
(c). The gravitational force between the objects when they are 50 km apart is [tex]\boxed{8000\,{\text{N}}}[/tex] .
Further Explanation:
The gravitational force of attraction between the two bodies is given by the Newton’s Law of Gravitation. According to Newton’s law of Gravitation, the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
The gravitational force is expressed mathematically as:
[tex]F = \dfrac{{G{m_1}{m_2}}}{{{r^2}}}[/tex]
Here, [tex]G[/tex] is the gravitational constant, [tex]{m_1}[/tex] is the mass of first body, [tex]{m_2}[/tex] is the mass of second body and [tex]r[/tex] is the distance between two bodies.
For two bodies kept at a distance of 100 Km , the gravitational force of attraction is 2000 N.
Substitute 200 N for [tex]F[/tex] and 100 Km for r in above equation.
[tex]\begin{aligned}2000=\frac{{G{m_1}{m_2}}}{{{{\left( {100\times {{10}^3}}\right)}^2}}}\hfill\\G{m_1}{m_2} = 2\times {10^{13}}\hfill\\\end{aligned}[/tex]
Part (b):
Now, the force experienced by the bodies when they are 150 Km apart is:
[tex]F = \dfrac{{G{m_1}{m_2}}}{{\left( {150 \times {{10}^3}}\right)}}[/tex]
Substitute [tex]2 \times{10^8}[/tex] for [tex]G{m_1}{m_2}[/tex] in above equation.
[tex]\begin{aligned}F&=\frac{{2 \times {{10}^{13}}}}{{{{\left( {150 \times {{10}^3}}\right)}^2}}}\\&= 888.9\,{\text{N}}\\&\approx {\text{889}}\,{\text{N}}\\\end{aligned}[/tex]
Thus, the gravitational force between the objects when they are 150 Km apart is [tex]\boxed{889\,{\text{N}}}[/tex].
Part (c):
Now, the force experienced by the bodies when they are 50 km apart is:
[tex]F =\Dfrac{{G{m_1}{m_2}}}{{\left( {50 \times {{10}^3}}\right)}}[/tex]
Substitute [tex]2 \times {10^8}[/tex] for [tex]G{m_1}{m_2}[/tex] in above equation.
[tex]\begin{aligned}F &=\frac{{2 \times {{10}^{13}}}}{{{{\left({50 \times {{10}^3}}\right)}^2}}}\\&= 8000\,{\text{N}}\\\end{aligned}[/tex]
Thus, the gravitational force between the objects when they are 50 Km apart is [tex]\boxed{8000\,{\text{N}}}[/tex].
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Answer Details:
Grade: College
Subject: Physics
Chapter: Newton’s law of Gravitation
Keywords: Gravitation, newton’s law, force of attraction, 2000N, 100km, 150 km, 50 km, gravitational force, two spherical objects, 889 N, 8000 N.
The region around a magnet where the magnetic force is exerted is known as
The right ventricle transports oxygenated blood to the lungs.
Please select the best answer from the choices provided.
T
F
Answer: False
Explanation: The circulatory system of the body consists of the heart, blood vessels and blood. The deoxygenated blood from the body is carried to the heart.
Here, the deoxygentaed blood is converted into oxygenated by removing carbon dioxide from them and making it oxygenated.
The impure blood from the body is collected by the right ventricle and transported to the lungs for purification and then transported to the body.
The correct answer is F (False)
Explanation:
In anatomy, the heart which is the organ in charge of pumping blood to all the body is divided into different sections that include the aorta, the superior vena cava, the right/left atrium, the pulmonary valve, and the right/left ventricles. In the case of the right ventricle, this is a chamber located on the right side of the hearth and the main function of this is to pump blood that is low in oxygen or de-oxygenated blood to the lungs through the pulmonary artery. On the other hand, the left ventricle pumps oxygenated blood to all the body. This implies, it is false the right ventricle transports oxygenated blood to the lungs because it pumps de-oxygenated rather than oxygenated blood.
\a stone is dropped from the top of a cliff. it hits the ground below after 3.80s. how high is the cliff in meters?
Magnetic field lines curve out from one pole and return to the same pole.
t/f
Answer:
the answer is false
Explanation:
your welcome
A second order chemical reaction involves the interaction (collision) of one molecule of a substance p with one molecule of a substance q to produce one molecule of a new substance x; this is denoted by p + q → x. suppose that p and q, where p = q, are the initial concentrations of p and q, respectively, and let x(t) be the concentration of x at time t. then p − x(t) and q − x(t) are the concentrations of p and q at time t, and the rate at which the reaction occurs is given by the equation dx/dt = α(p − x)(q − x), (i) where α is a positive constant. (a) if x(0) = 0, determine the limiting value of x(t) as t → ∞ without solving the differential equation. then solve the initial value problem and find x(t) for any t.
A car goes from 40n/s to 60 m/s in 8s the acceleration of the car is
During cooling, the kinetic energy of the molecules falls. Why does this happen?
The correct answer of this question is : Molecular motion or vibration slows down
EXPLANATION :
The kinetic energy of the molecule depends on the molecular motion. Molecules might have different types of kinetic energy depending on the type of substance i.e solid,liquid or gases.
During cooling, we are reducing the temperature of the substance. Due to the decrease of temperature, the molecular speed is also decreased. It is so because the molecular speed is dependent on the temperature of the substance.
Hence, the vibration, rotation or translation motion of the molecule slows down during cooling, which in turn, decreases the kinetic energy of the molecule.
What determines the amount of chemical energy asubstance has
The amount of chemical energy a substance has is determined by its molecular structure and the type of chemical bonds it contains.
1. Molecular Structure:
- The arrangement of atoms within a molecule determines its potential energy content.
- Different substances have varying numbers and arrangements of atoms, leading to differences in chemical energy.
2. Type of Chemical Bonds:
- Chemical energy is stored in the bonds between atoms within molecules.
- The strength and type of chemical bonds, such as covalent bonds, ionic bonds, and hydrogen bonds, dictate the amount of energy stored in the substance.
- Stronger bonds require more energy to break and thus store more chemical energy.
3. Potential Energy:
- Chemical energy represents the potential energy stored within a substance's chemical bonds.
- When chemical bonds are broken during a chemical reaction, the stored energy is released as heat or used to perform work.
4. Examples:
- Substances with complex molecular structures and strong chemical bonds, such as hydrocarbons in fossil fuels, tend to have high chemical energy content.
- Conversely, simpler molecules with weaker bonds, such as gases like hydrogen and oxygen, have lower chemical energy content.
Therefore, the amount of chemical energy a substance possesses is determined by its molecular structure and the type of chemical bonds it contains, with stronger bonds and more complex structures generally correlating with higher chemical energy content.
The complete Question is given below:
What determines the amount of chemical energy a substance has?
what energy is the flow of electrons that creates a charge, one of the main forms of energy
Answer:
electricity
Explanation:
just got the question and it was right
The position of a 2.75×105n training helicopter under test is given by r⃗ =(0.020m/s3)t3i^+(2.2m/s)tj^−(0.060m/s2)t2k^. part a find the net force on the helicopter at t=5.0s.
The net force on the helicopter at t=5.0s = F = 1.65.10⁴i - 3.3.10³k
Further explanationNewton's 2nd law explains that the acceleration produced by the resultant force on an object is proportional and in line with the resultant force and inversely proportional to the mass of the object
[tex]\large{\boxed{\bold{a~=~\frac{F}{m} }}}[/tex]
∑F = m. a
F = force, N
m = mass = kg
a = acceleration due to gravity, m / s²
While the speed is the first derivative of distance
[tex]\large{\boxed{\bold{V~=~\frac{dr}{dt} }}}[/tex]
While acceleration is the first derivative of the velocity function for t
[tex]\large{\boxed{\bold{a~=~\frac{dv}{dt} }}}[/tex]
It is known that the distance function (r) = (0.020 t³i + 2.2 tj-0.06t²k
Then the speed (v)
[tex]v~=~\frac{dr}{dt}[/tex]
v = 0.06t²i + 2.2j - 0.12tk
Then acceleration (a)
[tex]a~=~\frac{dv}{dt}[/tex]
a = 0.12ti - 0.12k
While :
W = m . g
[tex]m~=~\frac{W}{g}[/tex]
m = 2.75.10⁵ : 10
m = 2.75.10⁴
so net force :
F = m . a
F = 2.75.10⁴ . ( 0.12ti - 0.12k)
for t = 5
F = 2.75.10⁴ . ( 0.12.5i - 0.12k)
F = 2.75.10⁴ (0.6i-0.12k)
F = 1.65.10⁴i - 3.3.10³k
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Keywords : Newton's Law, acceleration, net force
The net force on the helicopter at time [tex]t = 5.0\,{\text{s}}[/tex] is [tex]\fbox{\begin\\\left( {1.68 \times {{10}^4}\,\hat i - 3.36 \times {{10}^3}\,\hat j} \right)\,{\text{N}}\end{minispace}}[/tex].
Further Explanation:
The helicopter moves under the action of the force which changes the position of the helicopter with respect to time according to the following equation.
[tex]\vec{r}=(0.020\text{ m}/\text{s}^3)\text{ t}^3\hat{i}+(2.2\text{ m}/\text{s})\text{ t}^3\hat{j}-(0.060\text{ m}/\text{s}^2)\text{ t}^2\hat{k}[/tex]
The force acting on the helicopter at a particular time is given by:
[tex]\fbox{\begin\\F= m\cdot{a}\end{minispace}}[/tex]
Here, [tex]m[/tex] is the mass of the helicopter and [tex]a[/tex] is the acceleration of helicopter.
The helicopter has a weight of [tex]2.75 \times {10^5}\,{\text{N}}[/tex]. This weight of the helicopter can be converted into the mass of the helicopter.
The weight of the helicopter can be represented as.
[tex]\fbox{\begin\\W=m \cdot g\end{minispace}}[/tex]
Rearrange and simplify the expression for the mass of helicopter.
[tex]\begin{aligned}m&=\frac{W}{g}\\&=\frac{{2.75\times{{10}^5}}}{{9.8}}\,{\text{kg}}\\&=2.{\text{80}}\times{\text{1}}{{\text{0}}^4}\,{\text{kg}}\\\end{aligned}[/tex]
The velocity of the helicopter can be determined by the differentiation of the position vector of the helicopter with respect to time.
[tex]\begin{aligned}\vec{v}&=\dfrac{{d\vec{r}}}{{dt}}\\&=\dfrac{d}{{dt}}\ [(0.020\text{ m}/\text{s}^3)\text{ t}^3\hat{i}+(2.2\text{ m}/\text{s})\text{ t}^3\hat{j}-(0.060\text{ m}/\text{s}^2)\text{ t}^2\hat{k}]\\&=0.060{t^2}\hat{i}+2.2\hat{j}-0.12t\hat{k}\end{aligned}[/tex]
The acceleration of the helicopter is the derivative of the velocity with respect to the time.
[tex]\begin{aligned}\vec a&=\frac{{d\vec v}}{{dt}}\\&=\frac{d}{{dt}}\left({0.060{t^2}\hat i+2.2\hat j-0.12t\hat k}\right)\\&=0.12t\hat i-0.12\hat k\\\end{aligned}[/tex]
Substitute the value of [tex]t = 5.0\,{\text{s}}[/tex] in equation of the acceleration.
[tex]\begin{aligned}a&=0.12\left({5.0}\right)\hat i-0.12\hat k\\&=0.6\hat i-0.12\hat k\\\end{aligned}[/tex]
Substitute the values of the acceleration and the mass of the helicopter in the equation of force.
[tex]\begin{aligned}F&=\left( {2.80\times{{10}^4}\,{\text{kg}}}\right)\left({0.6\hat i-0.12\hat k}\right) \\&=\left({1.68\times{{10}^4}\,\hat i-3.36\times{{10}^3}\,\hat j}\right)\,{\text{N}}\\\end{aligned}[/tex]
Thus, the net force acting on the helicopter at time [tex]t = 5\,{\text{s}}[/tex] is [tex]\fbox{\begin\\\left( {1.68 \times {{10}^4}\,\hat i - 3.36 \times {{10}^3}\,\hat j} \right)\,{\text{N}}\end{minispace}}[/tex].
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Answer Details:
Grade: College
Subject: Physics
Chapter: Force and acceleration
Keywords:
Helicopter, force, time, 5s, position, velocity, derivative, acceleration, weight, net force, t=5s, 0.020t3 m/s3, 2.75x10^5 N, helicopter under test, gravity, mass of helicopter.
An object starts from rest and falls under the influence of gravity. draw graphs of its speed and the distance it has fallen as a function of time from t=0 to t=5s
For an object that is under the pull of only the force of gravity, the motion is called free-fall. The equations that would allow us to calculate for the speed and distance is,
Speed = gt
Where g is the acceleration due to gravity and the t is the time.
For the distance, it is calculated through the equation,
Distance = vt + 1/2gt^2
Where v is the initial velocity and is equal to zero.
The graphs are attached.