Two particles move along the -axis

PHYSICS · Multi-part · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line

Problem

Two particles move along the

x

-axis. Particle 1 is

40\text{ m}

behind particle 2. Particle 1 starts with velocity

12\text{ m/s}

and acceleration

4\text{ m/s}^2

, both in the positive

x

-direction. Particle 2 starts with velocity

4\text{ m/s}

and acceleration

12\text{ m/s}^2

, also in the positive

x

-direction. Find (a) The time when the distance between them is minimum. (b) The minimum distance between them.