Analyzing motion problems: position | AP Calculus AB | Khan Academy

Finding the appropriate expression to use when looking for the position at a certain time.

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[haojiechen]

I can't believe that i can understand it !

[krystalthomas]

Its impossible for the particle to move 8 meters from the starting position at 2 seconds.
sqr root (3t-1) anything below time 1/3 is a negative sqr root number.
between time 1/3 and 2 the distance traveled in 2.48 meters.

At time 2 it is sqr root (5), at time 1 it is sqr root (2), at time 1/3 it is 0
this doesn't even come close to 8 meters.
If a constant is added to the anti derivative what that will mean is the starting position doesn't happen at 0.