Posted by Anil on Saturday, October 8, 2011 at 8:01pm.
1. Plenty of players hit the ball 400 feet or more. This function has roots at 0,433, so it appears to model typical hitting ability.
2. negative a means that there is a downward force acting on the ball: gravity. so, yes, the graph is a hill. The ball takes off at some speed, but gravity slows down its ascent and makes it drop back to earth.
y= -0.002x(x-433.1)
is
y = .8662 x - .002 x^2
I do not see anything very wrong except that the baseball does not start out at zero height. When x = 0 y should be like one meter high so I might prefer something like
y = 1 + .8662 x - .002 x^2
Yes, coef of x^2 must be negative because as x gets big the ball must drop.
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