SOLUTION: not in book. Use the formula h=-16t^2+250t to model the height h in feet of a model rocket t seconds after it is launched.Determine when the rocket will reach a height of 900 fe

Algebra ->  Equations -> SOLUTION: not in book. Use the formula h=-16t^2+250t to model the height h in feet of a model rocket t seconds after it is launched.Determine when the rocket will reach a height of 900 fe      Log On


   



Question 80468: not in book.
Use the formula h=-16t^2+250t to model the height h in feet of a model rocket t seconds after it is launched.Determine when the rocket will reach a height of 900 feet.
Help please.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Use the formula h=-16t^2+250t to model the height h in feet of a model rocket t seconds after it is launched.Determine when the rocket will reach a height of 900 feet.
:
Substitute 900 for h:
:
-16t^2 + 250t = 900
:
-16t^2 + 250t - 900 = 0; a quadratic equation
:
Use the quadratic formula: a=-16; b=250; c=-900
t+=+%28-250+%2B-+sqrt%28+250%5E2-4%2A-16%2A-900+%29%29%2F%282%2A-16%29+
:
do the math and you should get two positive solutions giving us the times when
rocket will be at 900 ft:
:
t = 5.625 sec (on the way up) and t = 10 sec (on the way down