SOLUTION: fireworks are shot upward with an initial velocity of 128 feet per second from a platform that is 3 feet above the ground. What is the peak of the fireworks? When does it get to th

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: fireworks are shot upward with an initial velocity of 128 feet per second from a platform that is 3 feet above the ground. What is the peak of the fireworks? When does it get to th      Log On


   

Question 1151830: fireworks are shot upward with an initial velocity of 128 feet per second from a platform that is 3 feet above the ground. What is the peak of the fireworks? When does it get to the peak.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
fireworks are shot upward with an initial velocity of 128 feet per second from a platform that is 3 feet above the ground. What is the peak of the fireworks? When does it get to the peak.
=================
Using 32 ft/sec/sec for gravity:
h(t) = -16t^2 + 128t + 3
---
The peak is the vertex of the parabola at t = -b/2a
t = -128/(-32) = 4 seconds
======================
Peak = h(4) = -16*4^2 + 128*4 + 3
Peak = 259 feet