SOLUTION: A baseball is hit to centre field. The ball’s height h, in metres, after t seconds can be modelled by the function h = −5t^2 + 10t + 0.8 . a. What is the maximum height ab

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A baseball is hit to centre field. The ball’s height h, in metres, after t seconds can be modelled by the function h = −5t^2 + 10t + 0.8 . a. What is the maximum height ab      Log On


   

Question 1050553: A baseball is hit to centre field. The ball’s height h, in metres, after t seconds can be modelled by the function h = −5t^2 + 10t + 0.8 .
a. What is the maximum height above the ground that the baseball will reach?
b. When does the ball reach its maximum height?
c. How long does it take for the baseball to hit the ground?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the equation to vertex form,
h=-5t%5E2%2B10t%2B0.8
h=-5%28t%5E2-2t%29%2B0.8
h=-5%28t%5E2-2t%2B1%29%2B0.8%2B5
h=-5%28t-1%29%5E2%2B5.8
a) Since it's in vertex form, h%5Bmax%5D=5.8m
b) Since it's in vertex form, t%5Bmax%5D=1s
c) Set h=0,
-5%28t-1%29%5E2%2B5.8=0
5%28t-1%29%5E2=5.8
%28t-1%29%5E2=%285.8%2F5%29
t-1=sqrt%285.8%2F5%29
t=1%2Bsqrt%285.8%2F5%29s