(c) How far from the thrower does the ball hit the ground? Show your work.

SOLUTION
We want to find how far from the thrower does the ball hit the ground.
From the equation
[tex]h(x)=-\frac{1}{20}x^2+8x+6[/tex]To solve this, let us graph the function
From the graph the parabola describes the motion of the ball. So, it hits the ground again (the x-axis plane) at 160.747
Hence the answer is 160.75 feet to 2 decimal places.