Question

A particle covers equal distance around a circular path in equal intervals of time, which of the following quantities connected with the motion of the particle remains constant with time?
Displacement
Velocity
Speed
Acceleration​

Answer 1

The correct option to the following question is (c) which is speed.

• In a circular motion, the direction of the particle changes at every point. So, displacement, velocity, and acceleration are all vector quantities. So, they have magnitude as well as direction. So they change at every point.
• Speed is a scalar quantity, so it has no direction.
• The distance travel by the body in a circular path is the same in the same time interval, so speed does not change with time, and remains constant with time.

• Displacement in a full circular motion is always zero, as the body always returns to the initial position.
• Velocity, as well as acceleration always changes, because it has direction.
• Therefore, speed remains constant as a particle covers equal distance around a circular path in equal intervals of time.