A particle moves on a circle of radius `r` with centripetal acceleration as function of time as `a_c = k^2 r t^2`, where `k` is a positive constant. Find the following quantities as function of time at an instant :
(a) The speed of the particle
(b) The tangential acceleration of the particle
( c) The resultant acceleration, and
(d) Angle made by the resultant with tangential direction.

A particle moves on a circle of radius r with centripetal acceleration as function of time as a_c = k^2 r t^2 , where k is a positive constant. Find the following quantities as function of time at an instant : (a) The speed of the particle (b) The tangential acceleration of the particle ( c) The resultant acceleration, and (d) Angle made by the resultant acceleration with tangential acceleration direction.

A particle moves on a circle of radius r with centripetal accelration as function of time as a_(c)=K^(2)rt^(2) where k is a positive constant , find the resu ltant acceleration.

A particle moves in a circle of radius 2 m at a second what is its resultant (total ) acceleration at time t= 1 s ?

A particle of mass m moving in a circular path of constant radius r such that its centripetal acceleration a_(c) is varying with time t as a_(c)= k^(2)rt^(2) , where k is a constant.

A particle of mass m moves on a circular path of radius r . Its centripetal acceleration is kt^(2) , where k is a constant and t is time . Express power as function of t .