Answer to Question #340236 in Physics for Jhay

Question

The brakes of a car moving at 14 m/s are applied, and the car comes to a stop in 48 seconds. How far does the car go while it is slowing down from 14 to 10 m/s?

A.13.7 m

B.16.2 m

C.19.5 m

D.26.3 m

Answer 1

The acceleration of the car

$$a=(0-v_i)/t=-14/4.8=-2.92\:\rm m/s^2$$

Distance traveled by the car

$$d=\frac{v_f^2-v_i^2}{2a}=\frac{10^2-14^2}{2*(-2.92)}=16\; \rm m$$

Answer: B