Kinetic energy of a particle moving in a straight line is proportional to the time t. The magnitude of the force acting on the particle is :

Options

A. directly proportional to the speed of the particle
B. inversely proportional to `sqrt(t)`
C. inversely proportional to the speed of the particle
D. directly proportional to `sqrt(t)`

Answer

B, C

Explanation

`1/2 mv^(2) prop t`
` rArr 1/2 mv^(2)= kt`
`:.v= sqrt((2kt)/(m))`
`:.` Acceleration `=(dv)/(dt)=sqrt((2k)/(m)).(1)/(2sqrt(1))`
`:.` (B) & (C)