The velocity function is v(t)=2t−4 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [1,6].
Displacement =

Distance traveled =

Question

The velocity function is v(t)=2t−4 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [1,6].
Displacement = 

Distance traveled =

anonymous · Answer

i think you need to integrate this right?

anonymous · Answer

oops gone now

anonymous · Answer

Well.. Think about it..
You got a time ranging from t=1 to t =6..

Your question is asking 2 things.. Displacement and Total Distance.. It might be good to double check what the meaning of each implies. That's the first step.

You are also given a velocity function, which, if you plugged in the bounds you are given only  gets you the velocity at those points.. So if you integrate the function, the velocity function changes to a displacement function.

Hope that hints you to good start.

anonymous · Answer

http://en.wikipedia.org/wiki/Displacement_(vector) Look at the first image on the page