Can you please help with this problem, thanks.

1. Suppose a marble rolls back and forth along a straight line, with a positive velocity indicating motion to the right. The graph below shows the velocity function v (t) of the marble, where v is measured in feet per second, and t in seconds. No 2 4 6 8 10 12 14 16 1. Evaluate for v (t) dt and write a sentence or two explaining what it tells us about the marble's journey. 2. Determine the displacement of the marble over the first 16 seconds. 3. Is the distance traveled by the marble the same, over those 16 seconds, as its displacement? How can you tell whether that is true? And, if they are different, determine the distance traveled. 4. Suppose I set up another marble on a different track, and I make sure it is always rolling twice as fast as the first marble. Would that change any of your answers above? How? 5. Suppose I set up another marble on a different track, and I make sure it is always rolling 2 feet per second faster than the first marble. (In other words, w (t) = v(t) + 2.) Would that change any of your answers above? How