QuestionA ball is thrown from 7 feet high. Its height is given by . Find its max height and distance from release.
Studdy Solution
STEP 1
Assumptions1. The height of the ball, , is given by the equation . represents the ball's horizontal distance, in feet, from where it was thrown3. We are looking for the maximum height of the ball and the distance from where it was thrown when this maximum height occurs
STEP 2
The given function is a quadratic function. The maximum or minimum of a quadratic function occurs at . In this case, and .
STEP 3
Substitute the values of and into the formula to find the value of at which the maximum height occurs.
STEP 4
Calculate the value of .
STEP 5
Now that we have the value of at which the maximum height occurs, we can substitute this into the function to find the maximum height.
STEP 6
Substitute into the function.
STEP 7
Calculate the value of .
The maximum height of the ball is7.1 feet, which occurs3 feet from the point of release.
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