Calculus AB: Applications of the Derivative
Problems for "Rates of Change and Applications to Motion"
Position for an object is given by s(t) = 2t 2 - 6t - 4 , measured in feet with time in secondsProblem :
A ball is dropped vertically from a height of 100 meters. Assume that the acceleration
due to gravity has a magnitude of 10 m/s
2
.
What is the velocity at
t = 2
?
=
s(
=
-3 - (- 6)
= 3 feet
s(4)-s(
=
10-(-3)
= 13 feet
(- 10)t
2





