Question

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to :

(a) t² 

(b) t^{1 ⁄ 2} 

(c) t^{3 ⁄ 2} 

 (d) t^{3 ⁄ 4}

Answer 1

Correct option (c) t ^{3 ⁄ 2}

Explanation:

From the formula P = Fv = mav = constant (given)

or  v dv/dt = constant …(1)

Integrating eq. (1), we get

Hence, distance moved is proportional to t^{3 ⁄ 2}.