A roller coaster car is traveling at a constant 3 m/s when it reaches a downward slope. On the slope, the car accelerates at a constant rate of 4.5 m/s​ 2​ . The length of the slope is 45 meters. A) Find the velocity of the car at the bottom of the hill. B) Find the time of travel.

Answers

Answer 1

Answer:

Velocity of the car at the bottom of the slope: approximately [tex]20.3\; \rm m \cdot s^{-2}[/tex].

It would take approximately [tex]3.9\; \rm s[/tex] for the car to travel from the top of the slope to the bottom.

Explanation:

The time of the travel needs to be found. Hence, make use of the SUVAT equation that does not include time.

Let [tex]v[/tex] denote the final velocity of the car. Let [tex]u[/tex] denote the initial velocity of the car.Let [tex]a[/tex] denote the acceleration of the car. Let [tex]x[/tex] denote the distance that this car travelled.

[tex]v^2 - u^2 = 2\, a\cdot x[/tex].

Given:

[tex]u = 3\; \rm m \cdot s^{-1}[/tex].[tex]a = 4.5\; \rm m \cdot s^{-2}[/tex].[tex]x = 45\; \rm m[/tex].

Rearrange the equation [tex]v^2 - u^2 = 2\, a\cdot x[/tex] and solve for [tex]v[/tex]:

[tex]\begin{aligned}v &= \sqrt{2\, a \cdot x + u^2} \\ &= \sqrt{2 \times 4.5\; \rm m \cdot s^{-2} \times 45\; \rm m + \left(3\; \rm m \cdot s^{-1}\right)^{2}} \\ &\approx 20.3\; \rm m \cdot s^{-1}\end{aligned}[/tex].

Calculate the time required for reaching this speed from [tex]u = 3\; \rm m \cdot s^{-1}[/tex] at [tex]a = 4.5\; \rm m \cdot s^{-2}[/tex]:

[tex]\begin{aligned}t &= \frac{v - u}{a} \\ &\approx \frac{20.3\; \rm m \cdot s^{-1} - 3\; \rm m \cdot s^{-1}}{4.5\; \rm m \cdot s^{-2}} \approx 3.9\; \rm m \cdot s^{-1}\end{aligned}[/tex].


Related Questions

What has increased the concentration of atmospheric carbon dioxide (CO2)?

Answers

Answer:

Carbon dioxide concentrations are rising mostly because of the fossil fuels that people are burning for energy.

• A 1200-kg car is driven through town with a speed of
15 m/s.
What is the magnitude of the car's
momentum?

Answers

p = mv
m = 1200 kg
v = 15 m/s

p = (1200 kg)(15 m/s) = 18,000 kg m/s

explain a conventional method of heat transfer.​

Answers

Conventional ovens, which do not have fans, rely primarily on radiation from the oven walls, and to a lesser extent, on natural convection caused by temperature differences. The fans in convection ovens allow more heat to be transferred via convective heat transfer.

Conventional method of heat transfer.​

Convection refers to a method of heat transfer where food is heated by a moving heat source such as hot air inside an oven that is circulated by a fan.

How it works?

Convection occurs when particles with a lot of heat energy in a liquid or gas move and take the place of particles with less heat energy. Heat energy is transferred from hot places to cooler places by convection. Liquids and gases expand when they are heated. As a result, the particles take up more volume.

For example:

Conventional ovens, which do not have fans, rely primarily on radiation from the oven walls, and to a lesser extent, on natural convection caused by temperature differences. The fans in convection ovens allow more heat to be transferred via convective heat transfer.

Learn more:

brainly.com/question/16646491

A pilot wishes to flt his planne to an airport north of his current location
The plane has a speed of 290ms!
(i) How long will it take him to reach the airport if it is
800 Km away?​

Answers

Answer:

Time = 2758.62 seconds

Explanation:

Given the following data;

Speed = 290 m/s

Distance = 800 km to meters = 800 * 1000 = 800000

To find the time;

Time = distance/speed

Time = 800000/290

Time = 2758.62 seconds

Therefore, it will take the pilot 2758.62 seconds to reach the airport.

What is the
power of a light
bulb with 8V and
a current of 2A?

Answers

Answer:

16 Watts

Explanation:

P = VI, where V is the voltage and I is the current (of the lightbulb)

V = 8 volts, I = 2 amps

P = 8 * 2 = 16 Watts

The answer is 16 watts

If a wave has a wavelength of 10 m and a speed of 2.5×108 m/s (this is 250000000 m/s) what is the frequency of the wave?

Answers

Answer:

The wavelength result is 3 m. Most common velocities: Light in vacuum (air) = 300,000 km/s. Light in water = 225,000 km/s. Sound in air = 340 m/s. Sound

Explanation:

the answer is 3m

To increase the solubility of a solid, what should you do to the temperature of the solvent? NEED HELP ASAP


A.Raise the temperature of the solvent

B.Lower the temperature of the solvent

Answers

A. Solubility increases with temperature

The offspring resulting from sexual reproduction are exactly like their parents.

false

true

Answers

Answer:

false

Explanation:

As both parents contribute half of the new organism's genetic material, the offspring will have traits of both parents, but will not be exactly like either parent

Answer:

False

Explanation:

The only time you end up like your parent is asexual reproduction

Which statement describes an atomic nucleus? *
1 point
An atomic nucleus is negatively charged.
An atomic nucleus has no electrical charge.
An atomic nucleus consists of mostly empty space.
An atomic nucleus contains most of the atom’s mass

Answers

Answer:

An atomic nucleus contains most of the atom’s mass

Explanation:

The first and second answer choices are incorrect because the nucleus has a charge -- but it is positive due to the presence of protons.

The third answer choice is incorrect because the nucleus is extremely dense and packed with all of the protons and neutrons of the atom.

The fourth answer choice is correct because protons and neutrons contain the mass of the atom.

Answer:

An atomic nucleus contains most of the atom’s mass

Explanation:

Hope this helps

Why are bananas curved?

Answers

Answer:

Bananas are curved because they grow towards the sun

Explanation:

Bananas are curved so they can retrieve sunlight. Bananas go through a process called 'negative geotropism'. What it means is that bananas grow away from the ground, instead of growing towards it, hence the 'negative' geotropism.

Answer:

Because they grow towards the sun and the sun is what makes things grow like water to  Beneath each flower petal, a row of tiny banana fruits start to grow. Once they're much bigger in size, the fruit goes through a process called negative geotropism. Which basically means instead of continuously grow towards the ground, they start to turn towards the sun, in order to retrieve light.

Explanation:

please answer as fast as possible

a monometer containing mercury of density p = 13.6 x 10^3 connected to a gas supply. caluclate the perssure of the gas supply
also sorry for the blury image

Answers

Explanation:

the pressure is given by P=hpg

where h is height,p is density, g is 10m/s²

thus P= 0.05m•13.6x10³•10

P=6.8x10³ Hgmm

You are on the steep edge of the Grand Canyon, which is miles deep. You fire an arrow at an 89-degree angle towards the canyon (nearly straight up, with no hope of reaching the other side) Describe the arrow's trajectory, in particular noting approximately when the arrow has the most deceleration, the most acceleration, and then why the shift begins to happen. Cover all major points in the trajectory from initial shot to final resting place. When is the arrow moving fastest?

Answers

Answer:

a. The arrow follows a parabolic path

b. As the arrow hits the ground,

Explanation:

a Describe the arrow's trajectory, in particular noting approximately when the arrow has the most deceleration, the most acceleration, and then why the shift begins to happen. Cover all major points in the trajectory from initial shot to final resting place.

This is because, the arrow is a projectile and its path follows a parabolic curve as it goes from initial shot to final resting place.

Its equation of motion is governed by y = ut - 1/2gt² where y = parabolic path, u = initial speed of arrow, t = time and g = acceleration due to gravity.

As the arrow rises, it undergoes the most deceleration. This is because as it rises, its speed decreases until it gets to the peak of its path, where its velocity is momentarily zero.  

Also, as the arrow drops, it undergoes the most acceleration. This is because as it drops from its peak, its speed increases until it gets to the bottom of its path, where its velocity is maximum and given by v = u' - gt where u' = velocity at peak = 0 m/s. So, v = 0 - gt = -gt.

b. When is the arrow moving fastest?

As the arrow hits the ground, its velocity is highest (maximum), so it is fastest at this point.

The process by which weak nuclear forces in carbon-14 isotopes transform a neutron into a patron an electron is called wht

Answers

Answer:

beta decay.

Explanation:

THIS IS THE COMPLETE QUESTION BELOW;

The process by which weak nuclear forces in carbon-14 isotopes transform a neutron into a proton while releasing an electron is called ______

Beta decay (β-decay) can be regarded as type of radioactive decay whereby

a beta particle whereby fast energetic electron is been emmitted away from atomic nucleus, and the original nuclide is been transformed to isobar of the particular nuclide. The process Beta decay can make unstable atoms to be more stable. The two types of beta decay are;

✓beta-minus

✓beta-plus. It should be noted that the process by which weak nuclear forces in carbon-14 isotopes transform a neutron into a proton while releasing an electron is called beta decay.

CHECK ATTACHMENT FOR EXAMPLE OF BETA DECAY EQUATION

Which TWO statements explain how water changes when its temperature decreases from 70 degrees to 28 degrees?

Answers

A decrease in temperature causes the water molecules to lose energy and slow down, which results in water molecules that are closer together and a decrease in water volume. When water is heated, it expands, or increases involuntary. When water increases in volume l, it becomes less dense.

Hope this helps :)

PLS HELP
Which statements below are true?
Check all that apply.
A. Distance can be fully described with a magnitude and a unit.
B. If motion starts and stops at the same location, then the
displacement is zero.
C. Displacement measurements must include magnitude, unit, and
direction.
D. Distance is always less than or equal to the magnitude of the
displacement

Answers

Answer:

A and C are correct.

A, and C hope this helps u out.

Which of the following is a subatomic particle?

Particle

Atom

Neutron

Element

Answers

Answer: particle and neutron

Explanation:

correct me if i’m wrong :)

Explain
(0) what is meant by regeneration,
(ii) why an analogue signal cannot be regenerated

Answers

Explanation:

1.) Regeneration is the natural process of replacing or restoring damaged or missing cells, tissues, organs, and even entire body parts to full function in plants and animals.

2.) When noise is added to analogue signals, it usually sounds like background hiss. Such noise can not be removed so the original clean signal can not be re-created or re-generated.

Please help me fr fr !

Answers

The answer is A because it describes both toy cars

Answer:

                         

Explanation:

what type of wave is created by sound waves

Answers

Echo sounds are created by sound waves

Here is a picture showing how two magnets will stick to one another when opposite poles align. When these magnets are pulled
slightly apart, does the attractive force between them still exist?
A)
Yes, but the new attractive force is due to gravity.
B)
No, since they are not touching, no force is at work.
Yes, even though they are not touching, they are pulling on one another.
D)
No, when the magnets are apart, they exert a repulsive force on one
another

Answers

Answer:

A

Explanation:

The others are only when the poles are the same as in south pole and south pole however north pole and south pole do connect cause they are oppisites

pls help me to draw it . I will make you brianliest ​

Answers

I can’t do that you have to!

- When an object is dropped what happens to potential and kinetic energy as it falls?
A. GPE goes up KE goes down
C. GPE goes down, KE goes down
B. GPE goes up. KE goes up
D. GPE goes down, KE does up

Answers

The answer is D: the GPE goes down and the KE goes up

What is the energy conversion in an incandescent lightbulb?​

Answers

Answer:

An incandescent bulb use electrical energy

Explanation:

Elsa runs 100m. She takes 20s to run this distance. What is Elsa's average speed?

Answers

Answer:

Average speed = 5 m/s

Explanation:

Given the following data;

Distance = 100m

Time = 20 secs

To find the average speed;

Speed = distance/time

Substituting into the formula, we have;

Speed = 100/20

Speed = 5m/s

Therefore, Elsa's average speed is 5 meters per seconds.

(20 points) What are wispy looking clouds, usually at high altitudes called?
stratus clouds
nimbus clouds
cirrus clouds
cumulus clouds

Answers

C , hope this helps

Answer:

the answer is c cirrus clouds

Explanation:

If a spring has an elastic potential energy of 60 J and a displacement of 4 m , what is the spring constant of the spring?

Answers

Answer:

7.5 N/m

Explanation:

Potential energy of a spring can be calculated using below formula

Potential energy= 1/2kx^2

potential energy = 60 J

X= displacement = 4 m

K= spring constant=?

Substitute the values we have

60= 1/2 × K × 4^2

60= 1/2 × K × 16

60= K × 8

K= 7.5 N/m

Hence, the spring constant of the spring is 7.5 N/m

Frank has a mass of 30 kg. He is sitting on a swing which is 2.3 m long. His dad pulls him up to a height of 1.2 m above his lowest point and releases him.

b. What is his velocity at the bottom of his path?

Answers

Answer:

His velocity at the bottom of his path is approximately 4.85 m/s

Explanation:

From the question, we have;

The mass of Frank, m = 30 kg

The length of the swing which he is sitting on, l = 2.3 m

The height above the lowest point to which the dad pulls him, h = 1.2 m

Potential energy, P.E. = m·g·h

Where;

g = The acceleration due to gravity ≈ 9.8 m/s²

The maximum potential energy Frank gains, P.E.[tex]_{max}[/tex] is goven as follows;

P.E.[tex]_{max}[/tex] = 30 kg × 9.81 m/s² × 1.2 m = 353.16 J

Therefore, by the principle of conservation of energy, we have;

The maximum kinetic energy at the bottom of the swing, K.E.[tex]_{max}[/tex] = P.E.[tex]_{max}[/tex] =  353.16 J

K.E. = 1/2·m·v²

Where;

v = The velocity at the bottom of his path

∴ K.E. = 1/2 × 30 kg × v² = 353.16 J

v² = 353.16 J/(1/2 × 30 kg)

v² = 23.544 m²/s²

v = √(23.544 m²/s²) ≈ 4.85 m/s

His velocity at the bottom of his path, v ≈ 4.85 m/s

An air mass that is moving from the north pole toward the equator would be turned to the ? because of the spinning of the earth on its axis

(finish the question by putting in the correct word where the ? is)

Answers

Answer:

An air mass that is moving from the north pole toward the equator would be turned to the East because of the spinning of the earth on its axis

Explanation:

An air that is moving from the North pole toward the equator will be turned to the East (right) because of the spinning of the earth around its own axis.

What is the Coriolis effect?

The Coriolis Effect can be described as an apparent effect generated by a rotating frame of reference. The effect takes place when an object moving along a straight path can be viewed from a non-fixed frame of reference.

The moving frame of reference is the one in which the Earth rotates at a fixed speed.  The Coriolis effect creates wind patterns near the earth’s surface, that move to the east toward the equator and to the west toward the poles. These wind patterns are responsible for moving clouds around the globe and creating weather patterns.

Coriolis force can be described as a fictitious force resulting from the rotational movement of the earth. It only affects the wind direction and not the wind speed. The magnitude of Coriolis force can be calculated from the wind speed.

Learn more about Coriolis force, here:

https://brainly.com/question/26583295

#SPJ2

a rocket engine applies a force of 50000 N for a distance of 20 m. how much work is done?​

Answers

Answer:

1000000Nm

Explanation:

W=force*distance

   50000*20

State Newton's first law of motion .​

Answers

Answer:

dis mans newton says if a body is at rest or moving at a constant speed in a straight linne it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force

Answer:

Newtons first law of motion states that"A body will continue to its state of rest or motion unless external force acted upon it.

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