1. The problem statement, all variables and given/known data The velocity of an airplane flying into a headwind is given by v(t) = 30(16 - t^2) mi/hr for 0 < t < 3 hr. How far has the airplane traveled at the instant its velocity reaches 400 mi/hr? Assume s(0) = 0 3. The attempt at a solution I think I would have to find the area under the graph. So basically I have a velocity time graph? So my objective is to find the area under the graph between time 0 and the time where the plane reaches 400 mi/hr. I tried setting the velocity equation equal to 400 and solving for t, which would give me the time at which the velocity is 400 mi/hr, right? Well that didn't give me the answer that was in the book. What do you think? Thanks.