SOLUTION: A car is traveling due east. Its velocity (in miles per hour) at time t hours is given by v(t)=−2.5t2+10t+50. How far did the car travel during the first seven hours of

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A car is traveling due east. Its velocity (in miles per hour) at time t hours is given by v(t)=−2.5t2+10t+50. How far did the car travel during the first seven hours of      Log On

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Question 1008055: A car is traveling due east. Its velocity (in miles per hour) at time t hours is given by
v(t)=−2.5t2+10t+50.
How far did the car travel during the first seven hours of the trip?

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
We can integrate this from t = 0 to t = 7 and get
Integral(v(t)) = (-2.5/3)(t^3) + 5t^2 + 50t
and now plug 7 in for t and get
309.2 miles