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Physics 31

Physics 31. Lecture 5: Motion in One Dimension With Changing Velocity. v(t) from x(t). v(t) is slope of x(t). x(t) from v(t). v(t). t. t end. What does x(t) look like?. v(t) = constant=10m/s 1. How far would the object travel in one second? 2. How far in two seconds? .

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Physics 31

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  1. Physics 31 Lecture 5: Motion in One Dimension With Changing Velocity

  2. v(t) from x(t)

  3. v(t) is slope of x(t)

  4. x(t) from v(t) v(t) t tend What does x(t) look like?

  5. v(t) = constant=10m/s1. How far would the object travel in one second?2. How far in two seconds?

  6. Slope is v = constant x(t) t

  7. Acceleration • Acceleration is: • The rate of change of velocity • The slope of a velocity-versus-time graph Slide 2-20

  8. Checking Understanding These four motion diagrams show the motion of a particle along the x-axis. Rank these motion diagrams by the magnitude of the acceleration. There may be ties. Slide 2-21

  9. Checking Understanding These four motion diagrams show the motion of a particle along the x-axis. Which motion diagrams correspond to a positive acceleration? Which motion diagrams correspond to a negative acceleration? Slide 2-22

  10. Checking Understanding These six motion diagrams show the motion of a particle along the x-axis. Rank the accelerations corresponding to these motion diagrams, from most positive to most negative. There may be ties. Slide 2-23

  11. Acceleration—Rate of Change of Velocity

  12. v(t) from a(t)

  13. x(t) from v(t) x(t) is the area under the v(t) vs t curve For constant a

  14. In general, for constant acceleration

  15. Quiz, question 1 Here is a motion diagram of a car moving along a straight stretch of road: Which of the following velocity-versus-time graphs matches this motion diagram? A. B. C. D. Slide 2-13

  16. Question 2 A graph of position versus time for a basketball player moving down the court appears like so: Which of the following velocity graphs matches the above position graph? A. B. C. D. Slide 2-15

  17. Question 3 • A car is moving with a constant velocity in the positive x-direction along a straight road. The magnitude of the velocity is v=12 m/s. Ten seconds later, it crashes into a wall and stops very suddenly. • A) sketch v(t) versus t for the first 15 seconds. • B) sketch x(t) versus t for the first 15 seconds.

  18. Homework due Monday Reading 2: 3-4 Motion with constant acceleration Problems: 2: CQ1, CQ6, MC18, 1, 3, 5, 8, 12

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