The path of a baseball after a batter hit a pop-up can be modelled by the following functions. For this function, h metres is the height of the ball ad d metresis the horizontal distance of the ball from home plate, where it was hit.
h=-0.07(d-10)^2+8
a) What was the maximum height of the ball?
b) What was the horizontal distance of the ball from home plate when it reached its maximun 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 infielder's glove when the ball was caught, to the nearest tenth of a me

Question

anonymous · Answer

tre?
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?

anonymous · Answer

a. the maximum point can be found by using this formula: $$d=-\dfrac{b}{2a}$$. The you plug the d value into h=-0.07(d-10)^2+8 to get the max height. Check http://www.oojih.com/show/algebra/quadraticfunction/