Question

A brick becomes dislodged from the top of a state building (at a height of 1290 feet) and falls to the sidewalk below.
(a) Write the position, velocity, and acceleration functions of the brick.
s(t) =
v(t) =
a(t) =

(b) How long does it take the brick to hit the sidewalk?

(c) How fast is the brick traveling when it hits the sidewalk?

Answer 1

(a)
s = 1290 - 16t^2
... for v,a

(b) solve for t:
1290 - 16t^2 = 0

(c) plug that t into v(t)