04:57

Engineering Mechanics: Statics and Dynamics

If the effects of atmospheric resistance are accounted for, a freely falling body has an acceleration defined by the equation $a=9.81\left[1-v^{2}\left(10^{-4}\right)\right] \mathrm{m} / \mathrm{s}^{2}$

where $v$ is in $\mathrm{m} / \mathrm{s}$ and the positive direction is downward. If the body is released from rest at a very high altitude, determine (a) the velocity when $t=5 \mathrm{s}$, and (b) the body's terminal or maximum attainable velocity $(\text { as } t \rightarrow \infty)$