SOLUTION: The motion of the ball thrown vertically in the air is described by f(t)= -16t^2+96t+10. What is the maximum height above the ground the ball will reach, and how many seconds wil

Algebra ->  Test -> SOLUTION: The motion of the ball thrown vertically in the air is described by f(t)= -16t^2+96t+10. What is the maximum height above the ground the ball will reach, and how many seconds wil      Log On


   

Question 1120694: The motion of the ball thrown vertically in the air is described by
f(t)= -16t^2+96t+10. What is the maximum height above the ground the ball will reach, and how many seconds will pass before it reaches this height?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
df%2Fdt=-32t%2B96=0 for the maximum f
-32t=-96
highlight%28t=3%29------------------ 3 seconds
-
h%283%29=-16%2A3%5E2%2B96%2A3%2B10
highlight%28h%283%29=154%29------------------this maximum height