SOLUTION: You want to throw a ball vertically upwards so that it will go up 50 meters before turning around. What initial velocity do you have to give it?

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Question 495056: You want to throw a ball vertically upwards so that it will go up 50 meters before turning around. What initial velocity do you have to give it?
Answer by Edwin McCravy(20067) About Me  (Show Source):
You can put this solution on YOUR website!
You want to throw a ball vertically upwards so that it will go up 50 meters before turning around. What initial velocity do you have to give it?
We use the formula for the final velocity in terms of the 
initial velocity and height:

vF² = v0² - 19.6h

where v0 represents the original velocity and
vF represents the final velocity. 


When the ball reaches its maximum height it must stop at that instant
as it turns around, so we use 

vF = 0 and h = 50, and solve for v0


vF² = v0² - 19.6h

0² = v0² - 19.6(50)

 0 = v0² - 980

980 = v0² 

Taking positive square roots of both sides:

31.3 = v0

So the answer is about 31.3m%2Fs

Edwin