A locomotive of mass 'm' starts moving so that its velocity varies as `v=alpha s^(2/3)` where `alpha` is a positive constant and 's' is the distance travelled .The total work done by all the forces acting on the locomotive during first 't' second after the start of motion is

A locomotive of mass m starts moving so that its velocity varies according to the law V=alphasqrts, where alpha is a constant and s is the distance covered. Find the total work done by all the forces acting on the locomotive during the first t seconds after the beginning of motion.

A body of mass m starts moving from rest along x-axis so that it velocity varies as v= asqrt(s) where a is a constant and s is the distance covered by the body .The total work done by all the forces acting on the body in the first second after the start of the motion is :

A locomotive of mass m starts moving so that its velocity varies according to the law v=asqrts , where a is a constant, and s is the distance covered. Find the total work performed by all the forces which are acting on the locomotive during the first t seconds after the beginning of motion.

A particle of mass m moves with a variable velocity v, which changes with distance covered x along a straight line as v=ksqrtx , where k is a positive constant. The work done by all the forces acting on the particle, during the first t seconds is

A particle moves with an initial velocity V_(0) and retardation alpha v , where alpha is a constant and v is the velocity at any time t. total distance covered by the particle is

The displacement of a body of mass 2kg varies as S=t^(2)+2t .Where S is in meters and t is in second.The work done by all the forces acting on the body during the time interval t=0 to t=3s is ?

The velocity of a particle moving in the positive direction of the X-axis varies as V=Ksqrt(S) where K is a positive constant. Draw V-t graph.

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 of mass m is moving in a stright line , If x is the distance travelled by the particle then its velocity is given as v = alpha x , here alpha is a constant . Calculate work done by all the forces acting on the body when particle is displaced from x = 0 to x = d .

A particle located at position x=0, at time t=0, starts moving along the positive x-direction with a velocity v^2=alpha x (where alpha is a positive constant). The displacement of particle is proportional to