Question

The position vector of a particle in a circular motion about the origin sweeps out equal area in equal time.Its
(a) velocity remains constant
(b) speed remains constant
(c) acceleration remains constant
(d) tangential acceleration remains constant

Answer 1

(b) speed remains constant

(d) tangential acceleration remains constant.

Explanation: 

Velocity and acceleration will not be constant because direction changes continuously. Hence option (a) and (c) are not correct. With a constant speed the position vector will sweep equal area in equal time. Thus option (b) is correct. Since speed is constant, it is a case of uniform circular motion in which tangential acceleration is always zero i.e, always constant. Thus option (d) is also correct.