The displacement of a particle is directly propertional to the third power of time . What will be nature of acceleration of the particle ?

The displacement of a particle is directly proportional to the third power of time. What will be the nature of acceleration of the particle?

Distance travelled by a particle in motion is directly proportional to the square of the time of travel. In this stage acceleration of the particle is

Displacement of a moving particle is directly proportional to the square of the time duration. State whether the particle is moving at a constant velocity or at a constant acceleration.

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.

A particle of mass 4 g and charge 10 esu is placed in a uniform electric field of intensity 600V.cm^(-1) . What will be the acceleration of the particle?

What should be the displacement of a particle executing SHM from the position of equilibrium so that its acceleration becomes half of its maximum acceleration?