Answer
The maximum velocity is $v=10 \ ft/sec \ $ and itoccurs at $\dfrac{dv}{dt}=0$ .
Work Step by Step
Re-write as: $m \dfrac{dv}{dt} =50-5v ...(1)$
or, $\dfrac{dv}{dt}=\dfrac{50-5v}{m} ...(2)$
When $\dfrac{dv}{dt}=0 $.
Equation (2) becomes: $50-5v =0$
So, $v =10$
Thus, the maximum velocity is $v=10 \ ft/sec \ $ and it occurs when $\dfrac{dv}{dt}=0$ .
