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
1.22 seconds
1.22 seconds
1.03 seconds
1.03 seconds
23.01 feet
23.01 feet
−1.03 seconds
negative 1.03 seconds
To find the domain of the ball when it reaches its maximum height, we need to determine the range of values for t.
The equation h = -16t^2 + 33t + 6 represents the height of the ball in feet at time t in seconds.
To find the maximum height, we can use the vertex formula for a quadratic equation, which is given by t = -b/2a.
In this equation, a = -16 and b = 33. Plugging these values into the formula, we get t = -33/(2*(-16)) = 33/32 ≈ 1.03 seconds.
So the domain of the ball when it reaches its maximum height is 1.03 seconds.
Therefore, the correct response is 1.03 seconds.