Two identical cars are moving in the same lane at with a separation of

PHYSICS · Subjective · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line

Problem

Two identical cars are moving in the same lane at

25\,\text{m\,s}^{-1}

with a separation of

40\,\text{m}

. The front car suddenly begins to brake with a uniform retardation of

5\,\text{m\,s}^{-2}

. The driver of the rear car reacts after

0.5\,\text{s}

and then applies the same retardation of

5\,\text{m\,s}^{-2}

. Will the rear car collide with the front car? Justify your answer with a calculation of the minimum separation between the two cars after they come to rest.

Related theory

Kinematic Equations for Uniform Acceleration
Kinematic Equations
Motion in a straight line
Acceleration
Equations of motion
Kinematic equations for uniformly accelerated motion

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