L tosses a ball up to Q, waiting at a third-story window, with an initial velocity of 30ft per sec. She releases the ball from a height of 6ft. The equation h= -16t(squared)+30t+6 represents the height h of the ball after t seconds. If the ball must reach a height of 25ft for Q to catch it, does the ball reach Q?
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25 = -16t^2 + 30t + 6
-16t^2 + 30t + 6 - 25 = 0
-16t^2 + 30t - 19 = 0
t = (-30 +/- sqrt(30^2 - 4(-16)(-19))) / (2(-16))
t = (-30 +/- sqrt(900 - 1216)) / (-32)
t = (-30 +/- sqrt(-316)) / (-32)
No real solutions.
Answer: NO
-16t^2 + 30t + 6 - 25 = 0
-16t^2 + 30t - 19 = 0
t = (-30 +/- sqrt(30^2 - 4(-16)(-19))) / (2(-16))
t = (-30 +/- sqrt(900 - 1216)) / (-32)
t = (-30 +/- sqrt(-316)) / (-32)
No real solutions.
Answer: NO