Question

Can a body have acceleration without changing its magnitude of velocity? Explain with an example.​

Answer 1

Answer:

Yes, a body can have acceleration without changing its magnitude of velocity or its magnitude remains constant.This takes place in case of (vertical)circular motion and uniform circular motion, for which the body moves continuously in tangential direction along the motion of the body,so it is in accelerated motion along the tangent (centrifugal) even if the magnitude of velocity remains constant.

(THIS DOESN'T TAKE PLACE IN CASE OF RECTILINEAR MOTION)

HOPE THIS HELPS

Answer 2

Answer:

Yes. only in uniform circular motion.

Explanation:

what does the newtons first law of motion says : A body remains in its state (either motion or rest) until unless applied by an external force.

so we can't have an accelerated motion without change in the velocity.

But uniform circular motion in as example in which the direction of velocity changes and the motion is accelerated but the magnitude of velocity does not change.

v = ωr

in uniform circular motion the radius(r) and angular velocity (ω) does not change so velocity will not change.

but its direction will always be tangential to the arc or circular path at that particular point. this implies that the direction is always changing. but the magnitude doesn't change in uniform circular motion