Question

Mark the correct statement(s).
(1) if speed of a body is varying, its velocity must be varying and it must have zero acceleration
(2) if velocity of a body is varying, its speed must be varying
(3) a body moving with varying velocity may have constant speed
(4) a body moving with varying speed may have constant velocity if its direction of motion remains
constant.​

Answer 1

only the third option is correct.

Explanation:

velocity is a vector quantity(has a direction as well as a numerical value)

speed is a scalar quantity (has only a numerical value)

acceleration too is a vector quantity

1)as the numerical value(speed) is changing the velocity too will change and accelearation too will change

this one is wrong.

2)if the velocity changes or vary it is not necessary that the speed too changes... as only the direction can too change and cause a change in the velocity and speed being scalar does not get affected by the change in direction

this too is wrong

3)yes it can....like in a circular motion

4)when the numerical value will change velocity will also change.

this one is also wrong.