Particle A is moving along X-axis. At time t = 0, it has velocity of `10 ms^(-1)` and acceleration `-4ms^(-2)`. Particle B has velocity of `20 ms^(-1)` and acceleration `-2 ms^(-2)`. Initially both the particles are at origion. At time t = 2 distance between the particles are at origin. At time t = 2 s distance between the particles is

Options

A. 24 m
B. 36 m
C. 20 m
D. 42 m

Answer

A

Explanation

At `t = 2 s : x_(A) = 10xx2-(1)/(2)xx4xx(2)^(2)=12m`
and `x_(B)=20xx2-(1)/(2)xx2xx(2)^(2)=36 m`
`therefore` Distance between A and B at that instant is 24 m.