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=−16t2+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)
Responses

1.03 seconds
1.03 seconds

1.22 seconds
1.22 seconds

23.01 feet
23.01 feet

−1.03 seconds

Answer 1

Maximum occurs at the vertex: t = −b/(2a) = −33/(2·−16) = 33/32 ≈ 1.03 seconds.

(For reference, the max height is h(33/32) ≈ 23.02 ft.)