A tennis ball is hit at an initial upward velocity of 18 feet per second. The situation can be modeled by the equation h=−16t2+18t+4

, where h represents the height in feet and t represents the time in seconds.

At what height is the tennis ball hit?

(1 point)
Responses

-16 feet
-16 feet

18 feet
18 feet

4 feet

1 answer

To determine the height at which the tennis ball is hit, we need to evaluate the given equation \( h = -16t^2 + 18t + 4 \) at the moment it is hit, which is at \( t = 0 \) seconds.

Substituting \( t = 0 \) into the equation:

\[ h = -16(0)^2 + 18(0) + 4 \] \[ h = 0 + 0 + 4 \] \[ h = 4 \]

Therefore, the height at which the tennis ball is hit is 4 feet.