In Problem 15.123, suppose that the acceleration of the locomotive as it accelerates from...

In Problem 15.123, suppose that the acceleration of the locomotive as it accelerates from zero to 60 mi/h is (F0/m)(1 –v/88), where F0 = 135,000 lb. m is the mass of the locomotive, and v is its velocity in feet per second.

(a) How much work is done in accelerating the train to 60 mi/h?

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(b) Determine the locomotive’s velocity as a function of time.