Tom throws a Frisbee into the air from a height of 4 feet with
1 answer:
Answer:
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.
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