Question

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?

StartLayout Enlarged Left-Brace 1st Row h = 35 minus 16 t squared 2nd Row h = 6 + 18 t + 16 t squared EndLayout
The height of the baseball is 18 feet at the moment the player begins to leap.
The height of the baseball is 16 feet at the moment the player begins to leap.
The height of the baseball is 35 feet at the moment the player begins to leap.
The height of the baseball is 6 feet at the moment the player begins to leap.

Answer 1

The moment the player begins to leap is t = 0. Plugging in t = 0 for the baseball gives h = 35 − 16(0)^2 = 35 ft. So the correct statement is: "The height of the baseball is 35 feet at the moment the player begins to leap."