A baseball is hit at a point of 3 feet above ground at a velocity of 100 feet per second and an angle of 45 degrees. The path of the baseball is h(x)= -0.0032(x-156.25)squared+87, where x and h(x) are measured in feet.

Question

A baseball is hit at a point of 3 feet above ground at a velocity of 100 feet per second and an angle of 45 degrees. The path of the baseball is h(x)= -0.0032(x-156.25)squared+87, where x and h(x) are measured in feet.
A. what is the baseball's maximium height?
B. will the baseball clear a 25-foot fence located 300 feet from home plate/

drwls · Answer

(A) Maximum height occurs when the first term (whcih is negative) is zero. (b) Plug in x = 300 and see if the resulting h(x) is >25 feet. It's pretty close!