The first equation in the system models the height, h , of a falling volleyball as a function of time, t The second equation models the height, h , of the hands of a player jumping up to spike the ball as a function of time, t Which statement describes the situation modeled by this system? h is equal to 14 minus 16 t squared h is equal to 7 plus 24 t minus 16 t squared
Answer
A
The volleyball is 24 feet above the ground at the instant the player begins her jump.
B
The volleyball is 7 feet above the ground at the instant the player begins her jump.
C
The volleyball is 14 feet above the ground at the instant the player begins her jump.
D
The volleyball is 16 feet above the ground at the instant the player begins her jump.
Explanation
At the instant the player begins her jump, time is t = 0. Substitute 0 into the volleyball’s equation, h = 14 − 16t²: h = 14 − 16(0)² = 14 feet. Therefore, the volleyball is 14 feet above the ground at that instant.
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