Question

A volleyball is served by a 6-foot player at an initial upward velocity of 33 feet per second. The situation is modeled by the equation h=−16t^2+33t+6
h representing the height in feet and t representing the time in seconds. Using this equation, define the domain of the ball when it reaches its maximum height.(1 point)

−1.03 seconds


23.01 feet

1.03 seconds

1.22 seconds

Answer 1

1.03 seconds.

Reason: The maximum occurs at the vertex t = -b/(2a) = -33/(2·-16) = 33/32 ≈ 1.03125 ≈ 1.03 s (height ≈ 23.02 ft).