SOLUTION: The height, h meters, of an infeild fly ball t secnds after being hit is given by the formula h=30t-5t^2, (hint: change the equation to factor form) a. How long does it take that

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The height, h meters, of an infeild fly ball t secnds after being hit is given by the formula h=30t-5t^2, (hint: change the equation to factor form) a. How long does it take that       Log On


   



Question 1191997: The height, h meters, of an infeild fly ball t secnds after being hit is given by the formula h=30t-5t^2, (hint: change the equation to factor form)
a. How long does it take that ball to reach its heightest point
b. How high will the ball reach?
c. Foe how long was the ball in the air?
d. After how many seconds does the ball hit the ground?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
h(t)=-5t^2+30t
vertex for this negative quadratic is where t=-b/2a=-30/-10 or t=3 seconds at highest point.
the height is -45+90=45 m
It will be in the air 6 seconds, since this is symmetric
It will hit the ground in 6 seconds.
graph%28300%2C300%2C-5%2C10%2C-25%2C50%2C30x-5x%5E2%29