An object is launched upward from ground level and reaches a maximum height of h feet. The initial velocity v (in feet per seconds) of the object is given by the function v=8 square h. Write the function in terms of h.

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Brooklyn Mendez

Mathematics

3 August, 20:26

An object is launched upward from ground level and reaches a maximum height of h feet. The initial velocity v (in feet per seconds) of the object is given by the function v=8 square h. Write the function in terms of h.

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Brennan Schmidt · Answer 1

So we want to rewrite the function v=8h^2 in terms of h so that it can represent the height of an object that is launched upward. So we take a square root: sqrt v = h*sqrt 8. Then we divide both sides of the equation with sqrt 8: h = (sqrt v) / sqrt 8=sqrt (v/8). So our function is: h=sqrt (v/8) or h = (1/2) * sqrt (v/2).