Give Reasons for the Following: Can a body move with a constant velocity in an accelerated motion? If yes, give reason.

Question

Give Reasons for the Following: 

Can a body move with a constant velocity in an accelerated motion? If yes, give a reason.

Answer 1

Yes, a body can have a constant speed and still be accelerating. 

Acceleration can be either due to change in speed or due to direction of motion or both. 

Consider an example of uniform circular motion. In a uniform circular motion, the body moves with a constant speed but we still say that it is accelerating due to the change in direction. 

This acceleration is called centripetal acceleration and is given as 

a_c = \(\frac{-v^2}{r}\)

Where, v = constant speed 

And r = radius of circle