SOLUTION: The path of a baseballafter a batter hit a pop-upcan be modeled by the following function. For this functionh metres is the height and d metres is teh horizontal distanceof the bal

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The path of a baseballafter a batter hit a pop-upcan be modeled by the following function. For this functionh metres is the height and d metres is teh horizontal distanceof the bal      Log On


   



Question 261415: The path of a baseballafter a batter hit a pop-upcan be modeled by the following function. For this functionh metres is the height and d metres is teh horizontal distanceof the ball from home plate, where it was hit.
h=-0.07(d-10)squared+8
a. What is the maximum height of the ball.
b.What was teh horizontal distance of the ball from home plate when it reached its maximum height.
c.What was the height of the ball when it was hit.
d.If the ball was caught 19.5m from home plate, how far off the ground was the infielders glove when he caught the ball, to the nearest tenth of a metre.
e. If no one had caught the ball, what would its horizontal distance from home plate have been when it hit the ground, to the nearest tenth of a metre

Answer by Logitechmath(1) About Me  (Show Source):
You can put this solution on YOUR website!
The answer to this question is actualy really simple. It is just a matter of plugging the formula into your calculator, The "X" Values would equal the Distance the ball traveled and the "Y" Values would equal the height.
H=-0.07(D-10)^2+8
1. Max height reached is 10 meters
2. Distance from plate when max height reached is 8
3. The height of the ball when hit is 1 meter
4. The catchers glove was 1.6825meters from the ground when caught 1.7Meters (rounded)
5. The ball hits the ground after traveling 20.69045 meters, 20.7 (rounded)