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Posted by Casey on Thursday, October 28, 2010 at 8:11pm.

A motor cyclist traveling at 30 m/s accelerates uniformly for 5 seconds to v= 40 m/s. H then maintains a constant velocity for the next 4 minutes. How far did the motor cyclist travel throughout the entire motion?

a = (Vf - Vo) / t, = (40 - 30) / 5 = 2 m/s^2. 4 min * 60 s/min = 240 s. d = Vo*t + 0.5*at^2, = 30*240 + 0.5 * 2 * (240)^2, = 7200 + 57600 = 64800 m = 64.8km.

A more practical approach 4 min. = 240 s. d=V*t=40 m/s * 240 s = 9600 m = 9.6km.

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