74.0k views
5 votes
A car is traveling at a velocity of 30 m/s. It then brakes over a displacement of 50 meters to come to rest. What was the acceleration of the car?

1 Answer

5 votes

The acceleration of the car is
9 m / \sec ^(2)

Step-by-step explanation:

Given:

Final velocity v = 0 m/s

Initial velocity u = 30 m/s

Stopping distance or displacement = 50 meters

To Find:

Acceleration of the car=?

Solution:

The third equation of motion is,


v^(2)-u^(2)=2 a s

Substituting the known values,


v^(2)-u^(2)=2 a s


(30)^(2)-(0)^(2)=2(a)(50)


900=100 a


a=(900)/(100)


a=9 m / \sec ^(2)

User Doomenik
by
6.8k points