Dave threw a ball into the air while standing on a 10 foot t

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

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 funct

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