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One Dimensional Motion

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  1. One Dimensional Motion AP Physics C

  2. Terms Displacement vs. Distance Displacement: Change in position (vector) • Distance: How far an object has travelled (scalar) • Symbol:Δx or Δx • SI Unit: meter, m

  3. Position

  4. Terms Velocity vs. Speed • Velocity: Rate of the change in position (vector) • Speed: Rate of distance covered (scalar) • Symbol:v or v • SI Unit: meter per second, m/s

  5. Average Velocity

  6. Instantaneous Velocity

  7. Terms Acceleration vs. Acceleration • Acceleration: The rate at which velocity changes (vector) • Acceleration: The rate at which speed changes (scalar) • Symbol: a or a • SI Unit: meters per second per second or meters per second squared, m/s/s or m/s2

  8. Average Acceleration

  9. Instantaneous Acceleration

  10. Position vs. Time Graph

  11. What are the velocities?

  12. What are the velocities?

  13. Average Velocity on an x-t graph

  14. vav vs vinst on an x-t graph

  15. x-t graph vs motion of a particle

  16. Instantaneous Velocity on an x-t graph

  17. Velocity vs. Time Graph • The slope of a v vs. t graph is the acceleration • The area between the curve and the horizontal axis of a v vs. t graph is the displacement

  18. Comparison of v-t to a-t graphs

  19. Instantaneous Acceleration vs Average Acceleration from a v-t graph

  20. v-t graph vs motion of a particle

  21. x-t graph vs motion of a particle with acceleration

  22. What are the accelerations and displacements?

  23. What are the accelerations and displacements?

  24. Acceleration vs. Time Graph • The slope means NOTHING • The area between the curve and the horizontal axis is the change in velocity a 10 s t -10 m/s/s

  25. Important Acceleration tells us how fast velocity changes Velocity tells us how fast position changes

  26. Kinematics Equations(accelerated motion)

  27. Falling Bodies, thrown up objects, and the y-direction • All things fall at the same rate (neglecting air resistance) • On earth that rate is 9.80 m/s2 • That rate is an acceleration • The name of that acceleration is Gravity

  28. Object moving in y-dir

  29. Changing Acceleration

  30. Velocity by Integration

  31. Position by Integration