Figure P2.55 shows the motion diagram, made at two frames of film per second, of a ball rolling along a track. The track has a \(3.0-\mathrm{m}\)-long sticky section.

a. Use the scale to determine the positions of the center of the ball. Place your data in a table, similar to Table 2.1 , showing each position and the instant of time at which it occurred.

b. Make a graph of \(x\) versus \(t\) for the ball. Because you have data only at certain instants of time, your graph should consist of dots that are not connected together.

c. What is the change in the ball's position from \(t=0 \mathrm{~s}\) to \(t=1.0 \mathrm{~s}\) ?

d. What is the change in the ball's position from \(t=2.0 \mathrm{~s}\) to \(t=4.0 \mathrm{~s}\) ?

e. What is the ball's velocity before reaching the sticky section?

f. What is the ball's velocity after passing the sticky section?
g. Determine the ball's acceleration on the sticky section of the track.

2 frames per second 1=0s FIGURE P2.55 Sticky section of track I 2 3 5 6 7 Meters