Question

A body is moving unidirectionally under the influence of a source of constant power. Its displacement in time t is proportional to
(i) $t^{1/2}$ (ii) t(iii) $t^{3/2}$ (iv) $t^{2}$

Answer 1

hey maye,

your answer is (ii) t.....

hope its help you...

Answer 2

Answer:

As power, $P$=force x velocity

$P=[MLT^2][LT^{-1}]=[ML^2T^{-3}]$

As, $P=[ML^2T^{-3}]$

=consonant

∴$L^2T^{-3}$=consonant

or, $L^2/T^{-3}$=consonant

∴$L^2$∝$T^{-3}$

or, $L$∝$T^{-3/2}$

Hence, right choice is (iii) $t^{3/2}$