The path of a soccer ball is modeled by the function h(x) = -0.005x2 + 0.25x, where h is the height in meters and x is the horizontal distance that the ball travels in meters.
What is the maximum height that the ball reaches? ___________ m. Round your answer to the nearest thousandth.

Question

The path of a soccer ball is modeled by the function h(x) = -0.005x2 + 0.25x, where h is the height in meters and x is the horizontal distance that the ball travels in meters. 
What is the maximum height that the ball reaches?  ___________ m. Round your answer to the nearest thousandth.

bahrom7893 · Answer

take the derivative, set it equal to zero, solve for x.

bahrom7893 · Answer

plug in your x value back into the original function, h(x), find what h - that will be your max.