Question

When Hope kicked the soccer ball, it traveled a horizontal distance of 85 feet, and at its highest reached 30 feet what steps do i take to form an equation

Answer 1

h = -0.0166t^2 + 30.

Explanation:

The graph of the flight is a parabola which opens down and is symmetrical about the y axis, passes through the x axis at -42.5 and 42.5 and has a vertex at (0, 30).

So we have -a(t^2) + 30 = 0 where t is the time

(42.5)^2 * -a = -30 (42.5 as its 1/2 * 85).

a = 30/2806.25

= 0.01661

So the equation is height h = -0.0166t^2 + 30