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For these questions imagine that you have a cart on a track. A motion sensor is placed on one end of the track, the motion

For these questions imagine that you have a cart on a track. A motion sensor is placed on one end of the track, the motion sensor is at the origin of coordinates.

1. a.) Describe the motion of the cart that would produce a horizontal line in a position vs. time graph.

b.) Describe the velocity and acceleration graphs in this case.

2. a.) Describe the motion of the cart that would produce a straight line that slopes downward in a position vs. time graph.

Be sure to specify if the motion is toward or away from the sensor.

b.) Describe the velocity and acceleration graphs in this case.

3. a.) Describe the motion of the cart that would produce a straight line that slopes downward in a position vs. time graph. Be sure to specify if the motion is toward or away from the sensor.

b.) Describe the velocity and acceleration graphs in this case.

  1. How would you move the cart to produce a negative spike in its acceleration vs. time graph? Consider the direction and the carts speed.
  2. Consider the case if the cart moved up the ramp then down the ramp.
  3. ) Why does the velocity change direction?
  4. ) Describe the acceleration vs. time graph you obtained

6. What is the uncertainty in the motion sensor's measurement of position? Describe how you determined this uncertainty.

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