The first equation in the system models the height in feet, h , of a falling baseball as a function of time, t The second equation models the height in feet, h , of the glove of a player leaping up to catch the ball as a function of time, t Which statement describes the situation modeled by this system? h is equal to 35 minus 16 t squared h is equal to 6 plus 18 t minus 16 t squared
Answer
A
The height of the baseball is 16 feet at the moment the player begins to leap.
B
The height of the baseball is 6 feet at the moment the player begins to leap.
C
The height of the baseball is 35 feet at the moment the player begins to leap.
D
The height of the baseball is 18 feet at the moment the player begins to leap.
Explanation
At the moment the player begins to leap, time is t = 0. Substituting 0 into the baseball’s equation, h = 35 − 16t², gives h = 35 feet. Therefore, the baseball is 35 feet high when the player begins to leap.
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