Problem 1: Two scenarios are provided in Figure 1. In Scenario 1, there are three runners (A, B, and C) racing around a track, and they all run at the same speed. In Scenario 2, there are three points (A, B, and C) on a rotating rod. Given this information, answer the questions below. t = At 1 = Δι C = 0 ° 1=0 Scenario 1: Scenario 1 Scenario 2 Figure 1: Scenario 1(runners around a track) and Scenario 2 (rotating rod). S1-(a): For Scenario 1, three people are running around a circular track. They are all running at the same speed. The location of each runner at the beginning of the race is shown at time t = 0. The location of runner A is also shown at time t = At. Draw the approximate location of the other two runners B and C on the figure for Scenario 1 at time t = At." S1-(b): Based on your sketch from S1-(a) does each particle have the same angular speed about the center of the circle? Explain. Scenario 2: S2-(a): For Scenario 2, there is a rod traveling counterclockwise about a pivot located at the center of the circle. Three points (A, B, and C) are labeled on the rod at time t = 0. At time t = At point A is labeled on the rod. Label the other two points B and C on the rod for Scenario 2 at time t = At. S2-(b): Based on your sketch from S2-(a), does each point have the same speed? What about angular speed? Explain.

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Please show all steps. Use a format of "v_A/B" to represent velocity of A with respect to B, or something of that manner only if needed.

Problem 1: Two scenarios are provided in Figure 1. In Scenario 1, there are three runners (A, B,
and C) racing around a track, and they all run at the same speed. In Scenario 2, there are three
points (A, B, and C) on a rotating rod. Given this information, answer the questions below.
t = At
1 = Δι
C = 0
°
1=0
Scenario 1:
Scenario 1
Scenario 2
Figure 1: Scenario 1(runners around a track) and Scenario 2 (rotating rod).
S1-(a): For Scenario 1, three people are running around a circular track. They are all running at
the same speed. The location of each runner at the beginning of the race is shown at time t = 0.
The location of runner A is also shown at time t = At. Draw the approximate location of the
other two runners B and C on the figure for Scenario 1 at time t = At."
S1-(b): Based on your sketch from S1-(a) does each particle have the same angular speed about
the center of the circle? Explain.
Scenario 2:
S2-(a): For Scenario 2, there is a rod traveling counterclockwise about a pivot located at the
center of the circle. Three points (A, B, and C) are labeled on the rod at time t = 0. At time t =
At point A is labeled on the rod. Label the other two points B and C on the rod for Scenario 2 at
time t = At.
S2-(b): Based on your sketch from S2-(a), does each point have the same speed? What about
angular speed? Explain.
Transcribed Image Text:Problem 1: Two scenarios are provided in Figure 1. In Scenario 1, there are three runners (A, B, and C) racing around a track, and they all run at the same speed. In Scenario 2, there are three points (A, B, and C) on a rotating rod. Given this information, answer the questions below. t = At 1 = Δι C = 0 ° 1=0 Scenario 1: Scenario 1 Scenario 2 Figure 1: Scenario 1(runners around a track) and Scenario 2 (rotating rod). S1-(a): For Scenario 1, three people are running around a circular track. They are all running at the same speed. The location of each runner at the beginning of the race is shown at time t = 0. The location of runner A is also shown at time t = At. Draw the approximate location of the other two runners B and C on the figure for Scenario 1 at time t = At." S1-(b): Based on your sketch from S1-(a) does each particle have the same angular speed about the center of the circle? Explain. Scenario 2: S2-(a): For Scenario 2, there is a rod traveling counterclockwise about a pivot located at the center of the circle. Three points (A, B, and C) are labeled on the rod at time t = 0. At time t = At point A is labeled on the rod. Label the other two points B and C on the rod for Scenario 2 at time t = At. S2-(b): Based on your sketch from S2-(a), does each point have the same speed? What about angular speed? Explain.
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