The domain of the ball when it reaches its maximum height can be found by analyzing the equation representing the height of the ball.
The height equation is h = -16t^2 + 33t + 6.
To find the time at which the ball reaches its maximum height, we can use the formula for the x-coordinate of the vertex of a quadratic equation, given by:
t = -b/2a
In this case, a = -16 and b = 33.
Substituting these values into the formula, we get:
t = -33 / (2 * -16)
Simplifying this expression gives:
t = -33 / -32
t ≈ 1.03 seconds
Therefore, the domain of the ball when it reaches its maximum height is 1.03 seconds.
The correct response is: 1.03 seconds.
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
23.01 feet
23.01 feet
1.03 seconds
1.03 seconds
1.22 seconds
1 answer
1 answer