You can put this solution on YOUR website! You shoot an arrow straight up at 50 m/s. When will it run out of speed?
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h(t) = -16y^2+50t
It will "run out of steam" when it's height is maximum.
That occurs when t = -b/2a = -50/[2(-16)] = 50/32 = 1.563 seconds
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Cheers,
Stan H.