Question

A paper clip is dropped from the top of a 144-ft tower, with an initial velocity of 16 ft/sec. Its position function is s(t) = -16t^2 + 144. What is its velocity in ft/sec when it hits the ground? (2 points)

Answer 1

s(t) is a function of t, which gives the displacement
you want to work out velocity

we know that

\[s(t)=\int\limits_{}^{}v(t) dt\]

so I would say, sub in your displacemet 144, to work out t

then differentiate your function, s(t) to get velocity
sub in t

get the velocity