Question

When a driver presses the brake pedal, his car stops with an acceleration of -8.7 m/s2. How far will the car travel while coming to a complete stop if its initial speed was 10 m/s? A. 10.2 m B. 5.7 m C. 13.1 m D. 9.5 m

Answer 1

Distance, x = 5.7 m

Step-by-step explanation:

We have,

Acceleration of the car is -8.7 m/s²

It is required to find how far will the car travel while coming to a complete stop if its initial speed was 10 m/s. Using third equation of kinematics to find it as :

`v^2-u^2=2ax\\\\x=(v^2-u^2)/(2a)\\\\x=((0)^2-(10)^2)/(2* (-8.7))\\\\x=5.7\ m`

So, the distance covered by the car is 5.7 m.