Question 440852
A Ball is thrown upward from a height of 15 ft. with an initial upward velocity of 5 ft a sec. Use the formula h=-16t squared+vt+s to find out how long it will take for the ball to hit the ground?
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h=-16t squared+vt+s
h(t) = -16t^2+5t+15
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Height is zero when the ball hits the ground:
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Solve: -16t^2+5t+15 = 0
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Use Quadratic Formula:
t = [-5 +- sqrt(25-4*-16*15)]/(-32)
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t = [-5 +- sqrt(985)]/(-32)
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Positive solution:
t = [-5-31.38]/(-32)
t = 1.1370 seconds
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Cheers,
Stan H.