SOLUTION: Duncan hits a volleyball out of bonds on a path given by the equation h=-0.1d^2+d+1. The height of the volleyball is h metres. What is the maximum height reached by the ball?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Duncan hits a volleyball out of bonds on a path given by the equation h=-0.1d^2+d+1. The height of the volleyball is h metres. What is the maximum height reached by the ball?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 176710: Duncan hits a volleyball out of bonds on a path given by the equation h=-0.1d^2+d+1. The height of the volleyball is h metres. What is the maximum height reached by the ball?
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
The general equation for a parabola is
ax%5E2%2Bbx%2Bc
The axis of symmetry and extreme value (min or max) occur at
x=-b%2F2a
In this cose
b=1
a=-0.1
x=-1%2F%282%280.1%29%29
x=5
Plugging into the formula,
h%285%29=-0.1%285%29%5E2%2B5%2B1
h%285%29=-2.5%2B5%2B1
h%285%29=3.5
drawing%28+300%2C+300%2C+-5%2C+10%2C+-1%2C+5%2Cgrid%28+1+%29%2Ccircle%28+5%2C+3.5%2C+.2+%29%2C+graph%28+300%2C+300%2C+-5%2C+10%2C+-1%2C+5%2C+-0.1x%5E2%2Bx%2B1%29%29+