1. Kinematics in One Dimension
In this chapter we study
kinematics of motion in one
dimension—motion along a
straight line. Runners, drag
racers, and skiers are just a
few examples of motion in
one dimension.
Chapter Goal: To learn
how to solve problems about
motion in a straight line.
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2. Kinematics in One Dimension
Topics:
• Uniform Motion
• Instantaneous Velocity
• Finding Position from Velocity
• Motion with Constant Acceleration
• Free Fall
• Motion on an Inclined Plane
• Instantaneous Acceleration
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3. Reading Quizzes
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4. The slope at a point on a position-
versus-time graph of an object is
A. the object’s speed at that point.
B. the object’s average velocity at that point.
C. the object’s instantaneous velocity at that point.
D. the object’s acceleration at that point.
E. the distance traveled by the object to that point.
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5. The slope at a point on a position-
versus-time graph of an object is
A. the object’s speed at that point.
B. the object’s average velocity at that point.
C. the object’s instantaneous velocity at that point.
D. the object’s acceleration at that point.
E. the distance traveled by the object to that point.
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6. Basic Content and Examples
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7. Uniform Motion
Straight-line motion in which equal displacements occur
during any successive equal-time intervals is called uniform
motion. For one-dimensional motion, average velocity is
given by
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8. Skating with constant velocity
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9. Skating with constant velocity
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10. Skating with constant velocity
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11. Skating with constant velocity
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12. Skating with constant velocity
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13. Tactics: Interpreting position-versus-time
graphs
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14. Tactics: Interpreting position-versus-time
graphs
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15. Instantaneous Velocity
Average velocity becomes a better and better
approximation to the instantaneous velocity as the time
interval over which the average is taken gets smaller and
smaller.
As Δt continues to get smaller, the average velocity vavg =
Δs/Δt reaches a constant or limiting value. That is, the
instantaneous velocity at time t is the average velocity
during a time interval Δt centered on t, as Δt approaches
zero.
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16. Finding velocity from position graphically
QUESTION:
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17. Finding velocity from position graphically
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18. Finding velocity from position graphically
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19. Finding velocity from position graphically
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20. Finding velocity from position graphically
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21. Finding velocity from position graphically
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22. Tactics: Interpreting graphical
representations of motion
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23. Instantaneous Acceleration
The instantaneous acceleration as at a specific instant of
time t is given by the derivative of the velocity
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24. Finding velocity from acceleration
QUESTION:
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25. Finding velocity from acceleration
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26. Summary Slides
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27. Important Concepts
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28. Important Concepts
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29. Applications
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