Velocity and Acceleration A brick becomes dislodged from the top of a building (at a height of 1,220 feet) and falls to the sidewalk below. (Let the position function for a free-falling object be
−16t2 + v0t + h0.)
(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? (Round your answer to two decimal places.)
s
(c)
How fast is the brick traveling when it hits the sidewalk? (Round your answer to one decimal place.)
ft/sec