posted by Mimi .
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
v(t) = 8t (0 _< t _< 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.)