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 (A)  t1/2  (B)  t  (C)  t3/2  (D)  t2

Tardigrade Admin · Accepted Answer

Using v = u + at ∴ v = at (∵ u = 0) As power, P = F × v ∴ P = (ma) × at = ma2t As m and a are constants, ∴ P propto t

Q. 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

$t^{1/2}$

$t$

$t^{3/2}$

$t^{2}$

Using $v = u + a t$
$∴ v = a t (∵ u = 0)$
As power, $P = F \times v$
$∴ P = (ma) \times a t = m a^{2} t$
As m and a are constants,
$∴ P \propto t$

Q. 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

t1/2

t

t3/2

t2

Using v=u+at ∴v=at(∵u=0) As power, P=F×v ∴P=(ma)×at=ma2t As m and a are constants, ∴P∝t

Q. 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

$t^{1/2}$

$t$

$t^{3/2}$

$t^{2}$

Using $v = u + a t$
$∴ v = a t (∵ u = 0)$
As power, $P = F \times v$
$∴ P = (ma) \times a t = m a^{2} t$
As m and a are constants,
$∴ P \propto t$