Chapter 1.3, Problem 1bT

B. In the space at right, compare the velocities at points 1 and 2by sketching the vectors that represent those velocities.
Draw the vectors side-by-side and label them $\stackrel{\to }{{\upsilon }_1}$ , and $\stackrel{\to }{{\upsilon }_2}$ , respectively.

Draw the vector that must be added to the velocity at the earlier time to equal the velocity at the later lime. Labelthis vector $\Delta \stackrel{\to }{\upsilon }$ .

Why is the name change in velocity appropriate for this vector?

How does the direction of the change in velocity vector compare to the direction of the velocity vectors?

Would your answer change if you were to select two different consecutive points (e.g., points 3 and 4) while the ball was slowing down? Explain.

How would the magnitude of the change in velocity vector between points 1 and 2 compare to the magnitude of the change in velocity vector between two different consecutive points (e.g., points 3 and 4)? Explain. (You may find it useful to refer to the graph of velocity versus time for the motion.)

Now: The positive direction has been chosen to be up the track.