A ball rolls onto the path of your car as you drive down a quiet neighborhood st

Question

A ball rolls onto the path of your car as you drive down a quiet neighborhood street. To avoid hitting the child that runs to retrieve the ball, you apply your brakes for 1.05 s. The car slows down from 15.0 m/s to 9.00 m/s. The mass of the car is 1370 kg.

(b) How far did the car move while braking? A ball rolls onto the path of your car as you drive down a quiet neighborhood street. To avoid hitting the child that runs to retrieve the ball, you apply your brakes for 1.05 s. The car slows down from 15.0 m/s to 9.00 m/s. The mass of the car is 1370 kg.

(b) How far did the car move while braking? A ball rolls onto the path of your car as you drive down a quiet neighborhood street. To avoid hitting the child that runs to retrieve the ball, you apply your brakes for 1.05 s. The car slows down from 15.0 m/s to 9.00 m/s. The mass of the car is 1370 kg.

(b) How far did the car move while braking?

Explanation / Answer

b) The distance moved by the car in t= 1.05 s is

d = vavg t --------------(1)

here vavg = average velocity of the car while bracking = (15.0 m/s + 9.0 m/s) /2 = 12 m/s.

on substituting all values in (1) we get

d = (12 m/s) (1.05 s )

d = 12.6 m.

Therefore the distance travelled by the car while braking is 12.6 m.

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