Use the position function$$

s$($t$)=16$t$2+525,$

$$which gives the height $($in feet$)$ of an object that has fallen for$$t$$seconds from a height of$525$feet$.$The velocity at time$$

t$=$a

$$seconds$$is given by the following.

lim$$t$$a$$

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

A construction worker drops a full paint can from a height of$525$feet$.$How fast $($in ft$/$s$)$ will the paint can be falling after $2$ seconds?