Two fan carts are on parallel inclined tracks are facing opposite directions. At t=0, the carts are 2.88 m apart with the fans on and they are both given a sharp push toward each other against the direction the fans are pushing them. Cart A begins (after the push) with a speed of 1.35 m/s to the right and has an acceleration of 0.44 m/s² to the left. Cart B begins (after the push) with a speed of 1.05 m/s to the left and has an acceleration to the right of 0.52 m/s². (Hint: Keep your positive and negative directions consistent for both carts.)
Two fan carts are on parallel inclined tracks are facing opposite directions. At t=0, the carts are 2.88 m apart with the fans on and they are both given a sharp push toward each other against the direction the fans are pushing them. Cart A begins (after the push) with a speed of 1.35 m/s to the right and has an acceleration of 0.44 m/s² to the left. Cart B begins (after the push) with a speed of 1.05 m/s to the left and has an acceleration to the right of 0.52 m/s². (Hint: Keep your positive and negative directions consistent for both carts.)
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Transcribed Image Text:**Educational Text: Two Fan Carts Experiment**
Two fan carts are on parallel inclined tracks and are facing opposite directions. At time \( t = 0 \), the carts are 2.88 meters apart with the fans on, and they are given a sharp push toward each other. This push is against the direction in which the fans intend to move them.
- **Cart A** begins its motion after the push with a speed of 1.35 m/s to the right. It experiences an acceleration of 0.44 m/s\(^2\) to the left.
- **Cart B** starts with a speed of 1.05 m/s to the left and has an acceleration of 0.52 m/s\(^2\) to the right.
**Objective:** Keep your positive and negative directions consistent for both carts.
- **Questions:**
- a) At what two times do the two carts pass each other?
- b) What are the two positions at which the carts pass each other?
- c) What is the velocity of each car when they pass each other?
- d) Graph the motion of each on the position vs. time graphs and velocity vs. time graphs on the next page.
**Graph Descriptions:**
1. **Position vs. Time Graph (left side):**
- The x-axis represents time (s).
- The y-axis represents position (m).
2. **Velocity vs. Time Graph (right side):**
- The x-axis represents time (s).
- The y-axis represents velocity (m/s).
Both graphs are blank for students to plot the motion and velocity of the carts based on their calculations.
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