A727 jet needs to attain a speed of 200 mph to take off. if it can accelerate from 0 to 200 mph in 30 seconds, how long must the runway be? (assume constant acceleration)

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Since v = dx/dt = 200t

I took the integral of dx = integral of 200t dt

and I got x = 100t^2 + C

So I plugged in 0.5 as t and got x = 25

So x = 25 miles