SOLUTION: You shoot an arrow straight up at 50 meters per second. When will it run out of speed? How do I figure this out??

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Question 275484: You shoot an arrow straight up at 50 meters per second. When will it run out of speed?
How do I figure this out??
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
You shoot an arrow straight up at 50 meters per second. When will it run out of speed?
:
Assume you mean the point when it reaches it's highest point, it stops and changes to a downward direction.
At that point gravity (-4.9t^2) takes over, upward velocity, is 0.
:
h = -4.9t^2 + 50t
the axis of symmetry of this equation gives the time of maximum height
t = %28-50%29%2F%282%2A-4.9%29+
t = %28-50%29%2F%28-9.8%29+
t = 5.1 seconds