Kinetic energy of a particle moving along elliptical trajectory is given by `K=alpha s^(2)` where s is the distance travelled by the particle. Determine dimensions of `alpha`

The variation of velocity of a particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4s is

The variation of velocity of a particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4s is

The variation of velocity of a particle moving along a straight line is as shown in the figure given below. The distance travelled by the particle in 5 s is

The variation of velocity of a particle moving along a straight line is as shown in the figure given below. The distance travelled by the particle in 5 s is

The variation of velocity of a particle moving along straight line is shown in the figure. The distance travelled by the particle in 4 s is

The instantaneous velocity of a particle moving in a straight line is given as v = alpha t + beta t^2 , where alpha and beta are constants. The distance travelled by the particle between 1s and 2s is :

A particle moves along a line according to the law s(t)=2t^(3)-9t^(2)+12t-4 , where tge0 . Find the total distance travelled by the particle in the first 4 seconds.

The kinetic energy of a particle moving along a circle of radius R depends on the distance covered S as K =alpha.S^(2), where alpha is a constant. Find the force acting on the particle as a function of S.