SOLUTION: an emergency flare is fired from a vehicle. its height,h metres, is given by h(t) =-5t^2+35t+50,where t is the time in seconds. what is the maximum height reached by the flare? how

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: an emergency flare is fired from a vehicle. its height,h metres, is given by h(t) =-5t^2+35t+50,where t is the time in seconds. what is the maximum height reached by the flare? how      Log On


   

Question 252706: an emergency flare is fired from a vehicle. its height,h metres, is given by h(t) =-5t^2+35t+50,where t is the time in seconds. what is the maximum height reached by the flare? how long does it take to reach the maximum height? how long does it take the flare to hit the ground?
Answer by soccer139white(1) About Me  (Show Source):
You can put this solution on YOUR website!
OK first you have to use the formula %28-b%29%2F%282%2Aa%29 to find your x value
x=%28-350%29%2F%282%2A%28-5%29%29=+3.5 That will find your seconds value
Then you plug in that x value into the original equation and solve for h
h=-5%283.5%29%5E2%2B35%283.5%29%2B50=+111.25 That will find your meters value
Then your final step is to use the quadratic formula of
Now simplify and you will end up with 2 answers. For this real life problem your answer will be the positive answer. The negative answer is unreasonable.