NAME_______________________________________
APPLICATIONS OF QUADRATIC FUNCTIONS
(MODELS GIVEN)
Solve the following:
1) A ball is thrown vertically upward from the top of a 96 foot building with an intial velocity of 80
feet per second. The distance s (in feet) of the ball from the ground after t seconds is given by
the formula s = -16t2 + 80t + 96.
a. After how many seconds does the ball strike the ground?
b. After how many seconds will the ball pass the top of the building on its way down?
2) A ball rolls down a slope and travels a distance of d = 6t +
𝑡2
2
feet in t seconds. Determine how
long it will take for the ball to roll a distance of 17 feet.
3) A volcano in Hawaii erupted in 1959 shooting lava hundreds of feet in the air modeled by
h = -16t2 + 350t. (h is height in feet, t is time in seconds).
a. Find the maximum height of the lava.
b. After how many seconds did the lave reach its maximum height?
M. Murray
HA2