Modeling Using Variation · Review Exercise 72

Complete the task.

An object projected from the ground at a 45 degree angle with initial velocity of 120 feet per second has height, $h,$ in terms of horizontal distance traveled, $x,$ given by $h\left(x\right)=\frac{-32}{{\left(120\right)}^2}{x}^2+x.$ Find the maximum height the object attains.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §5.8 Modeling Using Variation · Review Exercise 72