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)Responses1.22 seconds1.22 seconds−1.03 secondsnegative 1.03 seconds23.01 feet23.01 feet1.03 seconds
To find the domain of the ball when it reaches its maximum height, we need to find the value of t at the maximum point of the equation h=−16t2+33t+6.
The equation is a quadratic equation in the form h=ax^2+bx+c, where a = -16, b = 33, and c = 6.
To find the value of t at the maximum point, we can use the formula t = -b/2a.
Plugging in the values, we have t = -33/(2*(-16)) = -33/(-32) = 1.03 seconds.
Therefore, the domain of the ball when it reaches its maximum height is 1.03 seconds.