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## Homework Statement

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.