
(d) From $v = u + at,v_{1} = 0 + at_{1}\ \ \ \left( \because a = \frac{v_{1}}{t_{1}} \right)$
$F = ma = mv_{1}/t_{1}$
Velocity acquired in $t$ sec $= at = \frac{v_{1}}{t_{1}}t$
Power $= F \times v = \frac{mv_{1}}{t_{1}} \times \frac{v_{1}t}{t_{1}} = \frac{mv_{1}^{2}t}{t_{1}^{2}}$