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Dave threw a ball into the air while standing on a 10 foot tall table. The height, h(t), of the ball t
seconds after it is tossed is can be modeled by the function h(t) = 16t 2 + 32t + 10
How long was the ball in the air?
Solution
h(t) = 16t^2 + 32t + 10
we need to find time t at which h(t) = 0
h(t) = 16t^2 + 32t + 10 = 0
16t^2 -32t - 10 = 0
8t^2 -16t - 5 = 0
solving for t we get,
t= 2.27 s and t = -0.27 s
since t can't be negative
t = 2.27 s
Answer: 2.27 s

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Dave threw a ball into the air while standing on a 10 foot tall tabl.pdf

  • 1. Dave threw a ball into the air while standing on a 10 foot tall table. The height, h(t), of the ball t seconds after it is tossed is can be modeled by the function h(t) = 16t 2 + 32t + 10 How long was the ball in the air? Solution h(t) = 16t^2 + 32t + 10 we need to find time t at which h(t) = 0 h(t) = 16t^2 + 32t + 10 = 0 16t^2 -32t - 10 = 0 8t^2 -16t - 5 = 0 solving for t we get, t= 2.27 s and t = -0.27 s since t can't be negative t = 2.27 s Answer: 2.27 s