algebra
posted by Anil .
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?

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(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.
Respond to this Question
Similar Questions

fractions: models
Give examples of three categories of fraction models. What real models have you used that correspond to each of these? 
science
Why are models useful? a) models work exactly like the things they present b) Models are the first stage in any experiment c) models are better than charts or graphs d) models are the first step in creating a prototype 
algebra
So if the distance and height are reachable, why are these equations poor models of hitting a baseball: y = 0.5x^2 + 216x + 3 y = 0.002x^2 + 0.879x + 3.981 y = 0.002x^2 + 0.8732x  3.981 
algebra
why is this a poor model for hitting a baseball? 
algebra  reply to answer
why is this a poor model for hitting a baseball? 
algebra
A baseball player hits a baseball into the outfield. The following equation models the ball's path. If not caught, when will the baseball land? 
Hard Math
Why are these poor models for a parabola, Where a ball starts a a certain point and then is hit to reach a maximum height (vertex) and then lands at a certain point i. y = 0.002x(x  437.1) ii. y = 0.5x + 216x + 3 iii. y = 0.002x … 
physics
Red light with a wavelength of 660 nm and blue light with a wavelength of 480 nm are beamed at a double slit with a separation of 2x10^3 mm. The third order maximums for the different colours occur at different spots. What is the … 
physics
Can you please explain how to solve this question? 
math
a man has 35 models. he has 4 times as many airplane models as he does helicopter models. how many airplane models does he have?