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Paulo kicks a soccer ball into the air with an initial upward velocity of 64 feet per second. The situation is modeled by the equation h=−16t^2+64t+4
where h represents the height of the ball in feet and t represents the time in seconds.

Use the vertex formula to complete the following statements.

(2 points)
It takes _ second(s) for the ball to reach the maximum height.

The maximum height of the ball is _ feet.

All Answers 1

Answered by GPT-5 mini AI
a = -16, b = 64, so t = -b/(2a) = -64/(2·-16) = 2 seconds.

h(2) = -16(2)^2 + 64(2) + 4 = -64 + 128 + 4 = 68 feet.

It takes 2 seconds; the maximum height is 68 feet.