Question

A car of mass 100kg starting from rest and attain a velocity of 40m/s in 5 second..
calculate the change in momentum

Answer 1

Explanation:

Given :-

Initial velocity of the car = 0 m/s

Final velocity of the car = 12 m/s

Time taken by the car = 2 min

To Find :-

The acceleration of the car.

Analysis :-

Here we are given with the time taken, final and initial velocity of the car.

In order to find the acceleration substitute the given values in the question using the first equation of motion and find the acceleration of the car accordingly.

Solution :-

We know that,

u = Initial velocity

t = Time

v = Final velocity

a = Acceleration

Using the formula,

\underline{\boxed{\sf First \ equation \ of \ motion=v=u+at}}

First equation of motion=v=u+at

Given that,

Final velocity (v) = 12 m/s

Initial velocity (u) = 0 m/s

Time (t) = 2 min = 120 sec

Substituting their values,

⇒ 12 = 0 + a × 120

⇒ a = (v-u) / t

⇒ a = (12 - 0) / 120

⇒ a = 12/120

⇒ a = 0.1 m/s

Therefore, the acceleration of the car is 0.1 m/s.