SOLUTION: A ball is thrown upward from the top of a building. The ball's height above the ground after t seconds is given by the function: h (t) = -16t^2 + 48t + 32. a.) What is the init

Algebra ->  Length-and-distance -> SOLUTION: A ball is thrown upward from the top of a building. The ball's height above the ground after t seconds is given by the function: h (t) = -16t^2 + 48t + 32. a.) What is the init      Log On


   



Question 730974: A ball is thrown upward from the top of a building. The ball's height above the ground after t seconds is given by the function: h (t) = -16t^2 + 48t + 32.
a.) What is the initial height?
b.) How high did the ball go?
c.) When does the ball hit the ground?

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a)32 set t to zero
b)find the maximum 68
parabola
focus | (3/2, 4351/64)
vertex | (3/2, 68)
semi-axis length | 1/64 = 0.015625
focal parameter | 1/32 = 0.03125
eccentricity | 1
directrix | y = 4353/64
c)set 0=-16t^2 + 48t + 32
t = 3.5616