The distance traversed by a moving particle at any instant is half of the product of its velocity and the time of travers. Show that the acceleration of particle is constant.

This displacement of a particle during its motion is equal to half of the product of its instantaneous velocity and time. Show that the particle moves with a constant acceleration.

The position of a particle at any point instant is x . Find the velocity and acceleration at any instant .

The speed of a particle moving in a circle is increasing. The dot product of its acceleration and velocity is

The speed of a particle moving in a circle is increasing. The dot product of its acceleration and velocity is

A particle is moving on a straight line such that square of its velocity is directly proportional to distance as shown in graph. What is the acceleration of the particle ?

The coordinates of a particle moving in x-y plane at any time t are (2 t, t^2). Find (a) the trajectory of the particle, (b) velocity of particle at time t and (c) acceleration of particle at any time t.

The coordinates of a particle moving in x-y plane at any time t are (2 t, t^2). Find (a) the trajectory of the particle, (b) velocity of particle at time t and (c) acceleration of particle at any time t.