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9 November, 04:02

Daniel kicks a soccer ball up in the air with an initial upward velocity of 64 ft. per second. The ball is 2 ft. above the ground when it is kicked. The following function represents this situation: - 16x2 + 64x + 2. How long will it take the ball to reach its maximum height? How high above the ground will it be? (You can use desmos and the quadratic word problem sheet.)

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  1. 9 November, 05:10
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    You can also do this by converting to vertex form

    -16x^2 + 64x + 2

    = - 16 (x^2 - 4x) + 2

    = - 16 ((x - 2) ^2 - 4) + 2

    = - 16 (x - 2) ^2 + 66

    The time to get to maximum height is 2 seconds and maximum height is 66 feet.
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