Posted by Anil on Saturday, October 8, 2011 at 8:01pm.
why are these equations poor models of hitting a baseball:
y= 0.002x(x433.1)
I get maximums of (216,93). Other problems' maximums are in the (220, 100)range. So are they poor models because the distance and heights are unreasonable?
2) Why is the constant a in y=ax^2 + bx + c negative in a reasonable model?
is it because the graph is then a hill versus a valley?

algebra  Steve, Saturday, October 8, 2011 at 8:17pm
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.

algebra  Damon, Saturday, October 8, 2011 at 8:18pm
y= 0.002x(x433.1)
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.
Answer This Question
Related Questions
 algebra  So if the distance and height are reachable, why are these equations ...
 algebra  reply to answer  why is this a poor model for hitting a baseball? y...
 algebra  why is this a poor model for hitting a baseball? y = 0.002x^2 + 0....
 Hard Math  Why are these poor models for a parabola, Where a ball starts a a ...
 physics  Red light with a wavelength of 660 nm and blue light with a wavelength...
 science  Why are models useful? a) models work exactly like the things they ...
 physics  Can you please explain how to solve this question? Would I need to use...
 math  a man has 35 models. he has 4 times as many airplane models as he does ...
 fractions: models  Give examples of three categories of fraction models. What ...
 algebra  A baseball player hits a baseball into the outfield. The following ...
More Related Questions