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) Responses 1.03 seconds 1.03 seconds 23.01 feet 23.01 feet −1.03 seconds negative 1.03 seconds 1.22 seconds
The domain of the ball when it reaches its maximum height can be determined by finding the time at which the velocity becomes zero.
The equation for velocity is given by v = -32t + 33. Setting v = 0, we can solve for t:
-32t + 33 = 0
32t = 33
t = 33/32
Thus, the domain of the ball when it reaches its maximum height is 33/32 seconds, or approximately 1.03 seconds.
Therefore, the correct response is: 1.03 seconds.