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Homework Statement
A 727 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 accleration). Show all your work and include units in your answer.
Homework Equations
The Attempt at a Solution
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? But.. 25 miles sounds wrong for an airplane runway.. where did I go wrong?