Use the position function

s$($t$)=16$t$2+700,$

which gives the height $($in feet$)$ of an object that has fallen for t seconds from a height of $700$ feet. The velocity at time

t $=$ a seconds

is given by

lim$$t$$a$$

s$($a$)$ s$($t$)$a $$ t

$.$

A construction worker drops a full paint can from a height of $700$ feet. When $($in seconds$)$ will the paint can hit the ground? $($Round your answer to two decimal places.$)$

s

At what velocity $($in ft$/$s$)$ will the paint can impact the ground? $($Round your answer to one decimal places.$)$

ft$/$s