A 727 jet needs to attain a speed of 200 mph to take off. It it can accelerate from 0 to 200 mph in 30 seconds, how long must the runway be?
The Attempt at a Solution
First I converted mi/hr to mi/sec
200mi/hr * 1hr/60min * 1min/60sec = 0.056 mi/sec
and since accerelation is 0.045
v(t) =0.056t +C
and since the initial speed is 200mph (=0.045mps)
v(0)= 0+C= 0.056
v(t) = 0.056t + 0.056
then I integrated it s(t)=0.028t^2 +0.056t+C
but what do I do next?
I am stuck on finding the distance because I don't know how to find the constant.