The acceleration of a particle moving rectilinearly varies with the magnitude of its velocity as `a = -sqrtv`. Find its initial speed, if it stops after `t_0 = 1` sec from starting.

The acceleration of an obeject starting from rest is related to time as a = Kt+c. What will be its velocity after time t ?

The initial velocity and the acceleration of a particle are vecu=3hati+4hatj and veca=0.3 hati+0.4hatj . The magnitude of its velocity after 10 s is

A motor boat is moving in a straight line. Its velocity is V when the motor is shut off. If the retardation at any subsequent time is equal to the magnitude to its velocity at that time, find its velocity and the distance travelled in time t after the motor is shut off.

A particle is moving with a constant speed v in a circle. What is the magnitude of average velocity after half rotation?

The acceleration of a particle starting from rest moving in a straight line with uniform acceleration is 8m//sec^2 . The time taken by the particle to move the second metre is:

The acceleration of a particle moving along a straight line is (6t^(2)-3t)cm//s^(2) , at time t seconds. If the velocity of the particel at time 2 seconds be 10cm/s, find its velocity at time t seconds.

A particle moves in a straight line and its velocity v (in cm/s ) at time t (in second ) is 6t^(2) - 2t^(3) , find its acceleration at the end of 4 seconds.