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

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) t 1/2 (ii) t (iii) t 3/2 (iv) t 2

Philoid · Accepted Answer

The correct answer is (ii).

Explanation:

From Newton’s first equation of motion,

v = u + at

where, v is the final velocity

u is the initial velocity

a is the acceleration of the body

t is the time taken

Given, u = 0.

So, v = at

Power is given by

P = F × v

⇒ P = ma × at

⇒ P = ma²t

Since m and a are constant,

P ∝ t

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) t3/2 (iv) t2

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) t^1/2 (ii) t (iii) t^3/2 (iv) t²