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A golf ball is hit with an initial velocity of 64 Ft/s. The function h(t) = -16t^2 + 64t models the height h (in feet) of the golf ball at time t (in seconds). Does the golf ball reach a height of 60 ft?

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mhanifa

Answer:

  • Yes, the ball reaches the height of 64 ft

Step-by-step explanation:

Given function

  • h(t) = -16t^2 + 64t

The maximum value is at vertex and the x-value of the vertex is:

  • t = -64/2(-16) = 2

Finding the maximum height the ball can reach:

  • h(2) = -16(2²) + 64(2) = -64 + 128 = 64

The answer is yes

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