Question

a tennis ball is hit at an initial upward velocity of 64 feet per second. the situation can be modeled by the equation ( h = -16t^2 + 64t + 4.5 ), where ( h ) represents the height in feet and ( t ) represents the time in seconds. (1 point) at what height is the tennis ball hit?

• -16 feet
• 4.5 feet
• 64 feet
• 68.5 feet

Explanation:

Step1: Identify the time of hit

When the ball is hit, the time \( t = 0 \) seconds.

Step2: Substitute \( t = 0 \) into the height formula

The height formula is \( h=-16t^{2}+64t + 4.5 \). Substitute \( t = 0 \):
\( h=-16(0)^{2}+64(0)+4.5 \)
\( h = 0 + 0+4.5 \)
\( h = 4.5 \) feet.

Answer:

4.5 feet