Answer
$v=2.01ft/s$
Work Step by Step
The required velocity can be determined as
$\Sigma F_y=0$
$\implies F-W=ma$
We plug in the known values to obtain:
$100t-200=\frac{200}{32.2}a$
$\implies a=16.1t-32.2$
Now,
$v=\int_2 ^t (16.1t-32.2)dt=(\frac{16.1}{2}t^2-32.2t)|_2^t$
$\implies v=8.05t^2-32.2t+32.2$
This simplifies to:
$v=2.01ft/s$
