Posted by **Mimi** on Friday, April 26, 2013 at 5:51pm.

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.)

- Calculus -
**bobpursley**, Friday, April 26, 2013 at 6:36pm
position=INT (v(t)dt

=INT 8tdt=4t^2 + C

b. p(3)=36

- Calculus -
**leslie**, Sunday, April 28, 2013 at 9:10pm
can you show me the steps for b. pls

- Calculus -
**JohnDoe**, Sunday, June 2, 2013 at 1:09pm
Bob, what the heck does that mean? Need more detail in your steps.

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