SOLUTION: t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t^2 + 310 t + 178. Assuming that the rocket will splash down into the ocean,

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t^2 + 310 t + 178. Assuming that the rocket will splash down into the ocean,      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 859322: t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t^2 + 310 t + 178.
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
You would look for the t-intercept, using t-axis as the horizontal axis.

d=310%5E2-4%28-4.9%29178
d=99588.8

Taking the positive result, t=%28-310-sqrt%28d%29%29%2F%282%2A%28-4.9%29%29
t=%28315.6%2B310%29%2F%289.8%29
t=63.8 seconds