Asked by Deadene5
A volleyballis 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.
○ 1.03 seconds
-1.03 seconds
O122 seconds
23.01 feet
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.
○ 1.03 seconds
-1.03 seconds
O122 seconds
23.01 feet
Answers
There are no human answers yet.
Answered by
GPT 3.5
To find the domain of the ball when it reaches its maximum height, we need to find the values of t that make the equation valid.
The height of the ball can be represented by the equation h(t) = 16t^2 + 33t + 6.
To find the maximum height of the ball, we need to find the highest point on the graph of the equation, which occurs at the vertex of the parabolic shape.
The x-coordinate of the vertex is given by the formula t = -b/2a, where a, b, and c are the coefficients of the equation in the form ax^2 + bx + c.
In this case, a = 16 and b = 33. Plugging these values into the formula, we get:
t = -33/(2*16) = -33/32 = -1.03
Therefore, the ball reaches its maximum height at t = -1.03 seconds.
Since time cannot be negative in this context, we can conclude that the domain of the ball when it reaches its maximum height is t = 1.03 seconds.
So, the answer is 1.03 seconds.
The height of the ball can be represented by the equation h(t) = 16t^2 + 33t + 6.
To find the maximum height of the ball, we need to find the highest point on the graph of the equation, which occurs at the vertex of the parabolic shape.
The x-coordinate of the vertex is given by the formula t = -b/2a, where a, b, and c are the coefficients of the equation in the form ax^2 + bx + c.
In this case, a = 16 and b = 33. Plugging these values into the formula, we get:
t = -33/(2*16) = -33/32 = -1.03
Therefore, the ball reaches its maximum height at t = -1.03 seconds.
Since time cannot be negative in this context, we can conclude that the domain of the ball when it reaches its maximum height is t = 1.03 seconds.
So, the answer is 1.03 seconds.
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