Show all differential equations and all work

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An airplane takes off on a runway that is 2 kilometers long. The plane starts off with an initial velocity of 5 meters/sec and moves with acceleration a(t)=a0+.1*t^0.75 (where a0 is a constant) for 45 seconds and then lifts off the end of the runway. How fast was the plane traveling (in meters/sec) on lift off? Model and solve using differential equations. Show all differential equations and all work.

Reference no: EM131101088

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