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A giant tennis ball launcher shoots a giant tennis ball straight up into the air (position is given in meters and time is given in seconds). Because of the cylinder of the launcher, you can't see where the ball is first launched (assume it is launched at t = 0 s). If you double the initial velocity of the ball, what is the new position of the maximum height? Restart.

Problem authored by Aaron Titus and modified by Mario Belloni.