The domain of the ball when it reaches its maximum height can be defined by finding the values of t that make the equation h=-16t^2+33t+6 equal to the maximum height.
To find the maximum height, we can find the vertex of the quadratic equation h=-16t^2+33t+6. The vertex can be found using the formula t=-b/2a, where a=-16 and b=33.
t = -33/(2*-16) = -33/(-32) = 33/32
Since time cannot be negative, the domain of the ball when it reaches its maximum height is t >= 33/32.
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)
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