Chapter 3.4, Problem 12AYU

To determine

To calculate:

Horizontal distance from the firing point

Answer to Problem 12AYU

The distance is $156.3$ horizontal distance.

Explanation of Solution

Given information:

Inclination $={45}^{\circ }$

Velocity $=100feet$

Height is modeled by $h\left(x\right)=\frac{-32x^2}{{\left(100\right)}^2}+x$

  $h\left(x\right)=\frac{-32x^2}{{\left(100\right)}^2}+x$

By using graphing utility, the graph as follows,

  

Above graph shows the function $h\left(x\right)=\frac{-32x^2}{{\left(100\right)}^2}+x$ .

At $156.3$ horizontal distance from the face of the cliff is the max height.