Acceleration and distance travelled questions

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In summary: The correct value is 7 km/h per second. The distance traveled during acceleration is 84m, and the time to stop the car is 4 seconds. The increase in kinetic energy is 1,080,000 joules.In summary, a car traveling at 36km/h accelerates to 78km/h in 6 seconds and then stops in 4 seconds, covering a distance of 84m. The rate of acceleration is 7 km/h per second and the increase in kinetic energy is 1,080,000 joules. Equations can be used to solve the entire problem, except for the equation for kinetic energy which can be looked up.
  • #1
dominic tim
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1. Homework Statement [/b
a car traveling at 36km/h accelerates to 78km/h in 6 seconds. the brakes are applied and the car stops in a distance of 120m, draw a v/t graph and workout

The rate of acceleration? i got 6km/h please correct if this is incorrect
The distance traveled during the acceleration stage?
The time to stop the car?
If the car has a mass of 900kg. determine the increase in kinetic energy?

Homework Equations





The Attempt at a Solution

 
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  • #2
How about providing some of those equations? If you do that you'll be nearly done solving the problem.

Note that the units of acceleration are displacement/time^2. By how much does the velocity change per second? You accelerate from 36 km/h to 78 km/h in 6 seconds, so you can solve that easily.

If you draw the velocity curve over time, the area below it represents distance traveled, and the slop at any instance represents acceleration.

Else, there are three equations relating displacement, velocity, and acceleration. Those will answer the whole problem except the one about kinetic energy. You can look up that equation also.

"Increase" of KE implies two measurements at different times. Those could be from 36 to 78, from 78 to 0 or from 36 to 0. The latter two cases will yield a negative result.
 
  • #3
for your solution of acceleration, you are numerically close, but still not quite correct
 

FAQ: Acceleration and distance travelled questions

What is acceleration and how is it calculated?

Acceleration is the rate at which an object's velocity changes over time. It is calculated by dividing the change in velocity by the change in time.

How does acceleration affect the distance an object travels?

Acceleration affects the distance an object travels by increasing or decreasing its velocity. The longer an object accelerates, the greater the change in velocity and therefore the greater the distance travelled.

How do you calculate the distance travelled with a given acceleration and time?

The distance travelled can be calculated by using the formula: d = 1/2at^2, where d is the distance, a is the acceleration, and t is the time.

Can an object have a constant acceleration and still cover a large distance?

Yes, an object can have a constant acceleration and still cover a large distance. This can happen if the object accelerates for a longer period of time, or if the acceleration is relatively high.

How do you determine the final velocity of an object given its initial velocity, acceleration, and distance travelled?

The final velocity can be calculated by using the formula: v^2 = u^2 + 2ad, where v is the final velocity, u is the initial velocity, a is the acceleration, and d is the distance travelled.

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