A particle was at x = 0 at time t = 0. Particle is moving along positive x axis with velocity V. Its velocity increases with x according to equation `V = k sqrtx` . How its velocity and acceleration will change with the time?

A partiole is moving in a straight line such that its velocity at time t is proportional to t^(5) . Then its acceleration is proportional to

A particle of mass 0.5g is executing SHM with a time period of 2s and an amplitude of 5 cm. Calculate its (i) maximum velocity, (ii) maximum acceleration and (iii) velocity, acceleration and force acting on the particle when it is at a distance of 4 cm from its position of equilibrium.

A particle of mass m accelerating uniformly has velocity v at time t_1 . What is work done in time t?

The displacement (in meter)of a particle, moving along x-axis is given by x=18t + 5t^2 . Calculate instantaneous velocity at t = 2s