Chapter 9.2, Problem 26E

To determine

(a)

The velocity $v\left(t\right)$.

To determine

(b)

To prove:

The projectile’s velocity is zero at time $t^{*}=\frac{m}{k}\ln \left(\frac{v_{0}k}{9.8m}+1\right)$

To determine

(c)

The height $y\left(t\right)$.

To determine

(d)

To prove:

$y\left(t^{*}\right)=\frac{mk{v}_0-9.8m^2\ln \left(\frac{v_{0}k}{9.8m}+1\right)}{k^2}$