Question

Define uniformly accelerated motion and give one example of it.

Answer 1

Hint Uniform refers to the quantity having a constant value as well as a constant direction if the quantity is scalar. Linearly accelerated motion refers to the motion of a body having a constant rate of increase in its velocity and no change in the direction of the velocity.

Complete Step by step solution
Uniformly accelerated motion refers to a body being subjected to a uniform force so that the acceleration of the body becomes constant. This would require the body to have a uniform change in its velocity. This uniform change in the velocity of the body can be in magnitude or its direction or both.
If the force (which needs to be constant for the body to remain in uniform acceleration) is parallel to the velocity of the body, then only the magnitude of velocity of the body will change at a uniform rate. An example of uniform linear accelerated motion is a freely falling object on which the acceleration due to gravity of our planet acts parallel to its velocity.
If the force is perpendicular to the velocity of the body, then only the direction of velocity of the body will change at a uniform rate. An example of uniform angular accelerated motion is an object moving in a circle in a merry-go-round, on which a constant centripetal force acts.
The constant force on the body can be decomposed into a parallel component of force and a perpendicular component of force. The parallel component of force will be responsible to impart a constant/uniform rate of linear acceleration to the body which would cause the magnitude of the velocity to change. The perpendicular component of the force will be responsible to impart a constant angular acceleration to the body which would only change the direction of the velocity at a uniform rate.

Hint
A rotating body, moving in a pure circular path also has a uniform accelerated motion where the acceleration is directed perpendicular to the direction of motion of the body. In such a case the velocity of the body changes in direction only but the magnitude remains the same.