SOLUTION: s(t)= -16t^2+200t+4 the quadratic function models the fireworks height, s(t) in feet, t seconds after they launch. A. when should the fireworks go off so they explde at t

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: s(t)= -16t^2+200t+4 the quadratic function models the fireworks height, s(t) in feet, t seconds after they launch. A. when should the fireworks go off so they explde at t      Log On


   

Question 235484: s(t)= -16t^2+200t+4

the quadratic function models the fireworks height, s(t) in feet, t seconds after they launch.
A. when should the fireworks go off so they explde at the greatest height?
B. what is the greatest height attainded by the fireworks?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If you graph the function you will see that it is a parabola opening downward -- which is to be expected because it is a quadratic function with a negative lead coefficient.

The maximum height will be reached at the coordinate of the vertex of the parabola. For the general quadratic function, , the -coordinate of the vertex is found by:

.

For your problem:



You can do your own arithmetic.

The maximum height is the value of the function at time , that is:



Again, the arithmetic is yours to perform.

John