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 _< 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.)

Answer 1

position=INT (v(t)dt
=INT 8tdt=4t^2 + C

b. p(3)=36

Answer 2

can you show me the steps for b. pls

Answer 3

Bob, what the heck does that mean? Need more detail in your steps.