Tom throws a Frisbee into the air from a height of 4 feet with

an initial vertical velocity of 64 feet per second. Use the vertical

motion model, h = - 16t2 + vt + s, where v is the initial velocity in

feet/second and s is the height in feet, to calculate the

maximum height of the frisbee. Round your answer to the

nearest tenth if necessary.

Maximum height: - feet

Enter the answer

Check it

68 feet

Step-by-step explanation:

Vertical motion model:

h = - 16t² + vt + s

Given v = 64 and s = 4:

h = - 16t² + 64t + 4

This is a parabola. The maximum of a parabola is at the vertex.

For y = ax² + bx + c, the vertex is at x = - b / (2a).

Therefore, the time to reach the maximum height is:

t = - 64 / (2 * - 16)

t = 2

And the maximum height is:

h = - 16 (2) ² + 64 (2) + 4

h = 68

So the Frisbee reaches a maximum height of 68 feet.