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Relative Motion

Relative Motion . AP Physics C Mrs. Coyle. Relative Velocity. Velocity of A relative to B: V AB = V AG - V BG v AB is the velocity of A with respect to B v BG is the velocity of B with respect to a reference frame (example: the ground)

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Relative Motion

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  1. Relative Motion AP Physics CMrs. Coyle

  2. Relative Velocity Velocity of A relative to B: VAB= VAG - VBG vAB is the velocity of A with respect to B vBG is the velocity of B with respect to a reference frame (example: the ground) vAG is the velocity of A with respect to a reference frame (example: the ground)

  3. Resultant Velocity The resultant velocity of an object with respect to a reference frame is the net velocity of an object. vAG = vAB + vBG

  4. Example 1-The Bus Ride A passenger is seated on a bus that is traveling with a velocity of 6 m/s, E. If the passenger remains in her seat, what is her velocity: • With respect to the ground? • With respect to the bus? • The passenger decides to approach the driver with a velocity of 1 m/s. What is the velocity of the passenger with respect to the ground?

  5. Example 2- Airplane and Wind An airplane has a velocity of 60 m/s, N with respect to the wind. It is facing a headwind of 5m/s with respect to the ground. What is the resultant velocity of the airplane with respect to the ground?

  6. Example 3-Airplane and Wind An airplane is traveling with a velocity of 80 m/s, E with respect to the wind. The wind is blowing with a velocity of 4 m/s, S. Find the resultant velocity of the plane with respect to the ground.

  7. Example 4- Boat and River A boat is has a velocity of 8 m/s, E in still water. It is in a river that has a velocity of 3 m/s, S. • What is the resultant velocity of the boat relative to the shore. • How far downstream did the boat travel? Assume that the river is 300m wide.

  8. Reference frame S’ is moving with a constant velocity, vo

  9. Galilean Transformations Positions as seen from the two reference frames: r’ = r – vot When you take the derivative: v’ = v – vo

  10. Acceleration “The acceleration of the particle measured by an observer in one reference frame is the same as that measured by any other observer moving at a constant velocity relative to the first frame.”

  11. Example- 5 (Q #28) • A passenger on a train that is moving with constant velocity drops a spoon. What is the acceleration of the spoon relative a) to the train and b) the Earth?

  12. Example 6 (Q#26) • A sailor drops a wrench from the top of a sailboat while the boat is moving rapidly and steadily in a straight line. Where will the wrench hit the deck?

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