In a test run, a new train travels along a straight-line track. Data obtained from the speedometer indicate that the velocity of the train at any time t can be described by the velocity function

Question

v(t) = 8t (0 ¡Ü t ¡Ü 30)

a. Find the position function of the train.

b. Find the position after 3 seconds. (Note: the train starts from the beginning of the track so when t = 0, the integration constant, C = 0.)

Answer 1

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