Work done in time t on a body of mass m which | vedclass

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(D) The body starts from rest,so initial velocity $u = 0$.The acceleration $a$ is constant,given by $a = \frac{v - u}{t_1} = \frac{v}{t_1}$.The displa

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$\frac{1}{2}m\frac{v^2}{t_1^2}t^2$

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(D) The body starts from rest,so initial velocity $u = 0$.The acceleration $a$ is constant,given by $a = \frac{v - u}{t_1} = \frac{v}{t_1}$.The displacement $s$ at any time $t$ is given by $s = ut + \frac{1}{2}at^2 = 0 + \frac{1}{2}at^2 = \frac{1}{2}at^2$.The force applied is $F = ma = m\left( \frac{v}{t_1} ight)$.Work done $W = F 	imes s = \left( m \frac{v}{t_1} ight) 	imes \left( \frac{1}{2} \left( \frac{v}{t_1} ight) t^2 ight)$.$W = \frac{1}{2} m \frac{v^2}{t_1^2} t^2$.

Work done in time $t$ on a body of mass $m$ which is accelerated from rest to a speed $v$ in time $t_1$ as a function of time $t$ is given by:

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