Problema Solution

A ball is thrown downward from a window in a tall building. The distance, s, traveled by the ball in t seconds is s=16t^2+32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 206 feet?

Answer provided by our tutors

16t^2+32t = 206


by solving we find and consider the positive roots since the time can not be negative (t>0)


t = 2.7 s


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in 2.7 s the ball will fall 206 ft.