when a car is traveling in a straight road.

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when a car is traveling in a straight road.

A car is travelling along a straight road at u =14 m/s

The distance from the point where the brakes are applied to the point where the car comes to rest is s = 49m

We know that

speed = distance / time

time = distance / speed = 49 / 14 = 3.5 seconds.

Thus, this car travells for t= 3.5 seconds.

During the course of applying the brakes and finally stopping the motion (v = 0 m/s)

The deceleration can be found using the below equation of motion:

v = u + at

Where, v is final velocity (zero, as the car stops)

t is the time of travel (3.5 seconds, as calculated)

u is the initial velocity ( 14 m/s, as given)

Substituting the values,

0 = 14 + a (3.5)

a = -14 / 3.5

a = - 4 m/s2

The negative symbol above symbolises that the car undergoes deceleation (gradual decrease in acceleration)

Thus, the deceleration of the car is - 4 m/s2 .

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