Question
A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it at time t is proportional to,
(i) t1/2
(ii) t
(iii) t 3/2
(iv) t2
(i) t1/2
(ii) t
(iii) t 3/2
(iv) t2
Solution
B.
(ii) t
Tips: -
From,v = u + at
v = 0 + at = at
As power, P = F × v
∴ P = (ma) × at = ma2t
As m and a are constants, therefore, P ∝ t