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Understanding Motion Graphs: Distance, Velocity, and Acceleration Relationships

Explore the fundamental concepts of motion through the analysis of distance vs. time, velocity vs. time, and acceleration vs. time graphs. Learn how slopes correlate with velocity and acceleration, the significance of intercepts, and the types of motion represented by straight and curved lines. This overview highlights key principles including constant velocity, uniform acceleration, and the behavior of freely falling objects under gravity. Understand how to interpret these graphs to analyze motion effectively.

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Understanding Motion Graphs: Distance, Velocity, and Acceleration Relationships

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  1. Distance vs Time graph Velocity vs Time graph Acceleration Vs time graph Misc. Falling Objects 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

  2. Q: Slope is equal to this on a displacement vs. time graph.

  3. A: Velocity

  4. Q: The “y” intercept is actually this kind of displacement.

  5. A: Initial

  6. Q: Straight lines are used to show this on a graph.

  7. A: Constant Velocity

  8. Q: Curved lines show the ___ of an object

  9. A: Instantaneous velocity

  10. Q: If an object has constant acceleration the graph will follow this shape.

  11. A: Parabola

  12. Q: Negative slope shows an increase in velocity in this direction.

  13. A: Negative

  14. Q: Slope equals this on a velocity vs. time graph.

  15. A: Acceleration

  16. Q: The “y” intercept is equal to this in a graph.

  17. A: Initial velocity

  18. Q: Straight lines on the graph imply what kind of acceleration?

  19. A: Uniform

  20. Q: A slope of zero will show an object with this kind of motion.

  21. A: Constant Velocity

  22. Q: Slope shows this in an acceleration vs. time graph.

  23. A: Nothing

  24. Q: The “y” intercept shows this on a graph

  25. A: Initial Acceleration

  26. Q: Zero slope will show an object with what?

  27. A: Constant Acceleration

  28. Q: Two coinciding curves tells that two objects have what?

  29. A: Same Acceleration

  30. Q: The area under the curve on the graph is equal to what?

  31. A: Change in Velocity

  32. Q: Compared to speed, velocity is included with both of these terms.

  33. A: Magnitude and Direction

  34. Q: An objects average speed is equal to the distance traveled divided by what?

  35. A: Time of travel

  36. Q: This is one way of calculating instantaneous velocity at any point on a position vs. time graph.

  37. A: Slope of tangent

  38. Q: Acceleration is actually a measure of the rate of change of this.

  39. A: Velocity

  40. Q: Average acceleration is the change in velocity divided by what?

  41. A: Change in time

  42. Q: Freely falling objects undergo this kind of acceleration.

  43. A: Constant

  44. Q: This is the acceleration of gravity.

  45. A: -10m/s2

  46. Q: A freely falling object will always have the same ___ acceleration.

  47. A: Downward

  48. Q: At the very top of an objects path upward the velocity is ___ but the acceleration is ___.

  49. A: 0m/s, -10m/s2

  50. Q: All objects will fall at the same rate with the absence of this.

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