# A body is dropped from a certain point and it reaches a velocity ‘v’ after some time. What would be the velocity reached after twice the time?

Let the body reach the velocity $v$ in time $t$. Since the body is dropped, initial velocity is zero $(u=0).$

$v=u+gt$ $\therefore v=gt$

If the new time is twice the original time, $t’=2t.$

Let the new velocity reached be $v’.$ $v’=gt’=g(2t)=2(gt)=2v$

Thus, the new velocity will be twice the original velocity.

[Equations used above are deduced from Motion Under Gravity]