SCalcet$937009$

The height $($in meters$)$ of a projectile shot vertically upward from a point $3$ m above ground level with an initial velocity of $22\mathrm{.}5\frac{m}{s}$ is $h=322\mathrm{.}5t=4\mathrm{.}9t^2$ after $6$ seconds.

$($a$)$ Find the velocity $($in $\frac{m}{s})$ after $2$ seconds and after $4$ seconds.

$v(2)=,\frac{m}{s}$

$v(4)=,\frac{m}{s}$

$($b$)$ When does the projectile reach its maximum height? $($Round your answer to two decimal places.$)$

$$ s

$($c$)$ What is the maximum height? $($Round your answer to two decimal places.$)$

$$ m

$($d$)$ When does it hit the ground? $($Round your answer to two decimal places.$)$

$5$

$($e$)$ With what velocity $($in $\frac{m}{s})$ does it hit the ground? $($Round your answer to two decimal places.$)$

$\frac{m}{s}$