Question

PLEASE HELP AS SOON AS POSSIBLE!!!
A car approaches a hill at a speed of 40 m/s. When it reaches the base of the hill it runs out of gas and has to coast up the hill. Assuming that there is no friction, at what height
will the car come to rest?

Answer 1

Answer:

h = 81.63 m

Explanation:

Given that,

The speed of the car, v = 40 m/s

We need to find the height when the car comes to rest. We can use the conservation of energy to find it i.e.

$mgh=\dfrac{1}{2}mv^2\\\\h=\dfrac{v^2}{2g}\\\\h=\dfrac{(40)^2}{2\times 9.8}\\\\h=81.63\ m$

So, it will reach to a height of 81.63 m and comes to rest.