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Kinematics - A description of motion

By Amanda Mitchell,2014-06-20 13:07
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Kinematics - A description of motion

    Physics 250 Worksheet:

    Kinematics

    (A description of motion)

Score: _____ Section #:______

Name:_____________________________

Goals:

To be able to demonstrate an understanding of:

     Motion in one dimension

     The relationship between a position-versus-time graph and velocity

     The relationship between a velocity-versus-time graph and acceleration

     The use of motion diagrams

References:

     J. Walker, Physics 2nd Ed. Ch. 2, ? 2004 Pearson Education Inc.

Activity:

    Sketch a position-versus-time graph for the following motions. You should include a scale on both axes with units. Some numbers are given in the problems, but for others just make reasonable estimates.

    1. A child walks east from his house to the park and plays for a while. After staying at the park a while the child walks west to the candy store (about half way between his house and the park).

    2. A physics student walks north to the bus stop, realizes that he forgot his homework and runs back to his dorm to get it.

    3. A hockey player skates 10 meters toward the opponents’ goal, turns around and skates 20 meters back, then passes the puck to a teammate who is 15 meters away (toward the opponents’ goal). Do this for the hockey puck.

Interpret the following graphs.

4. A car driving along the street.

xm()

    5.0

    ts()5.010

    5. A drag racer going down the drag strip.

xm()

    50

    10

    ts()5.010

    6. A dolphin in a show at Sea World

xm()

    ;4

    ts()5.010

    4

7. Can you give an interpretation of this graph? If so, then do so.

xm()

    50

    10

    ts()5.010

For the following motions sketch a position-versus-time graph. If need be, include

    appropriate numerical scales.

    8. A sky diver jumps out of a plane at an altitude of 2000 meters, falls freely for about 20 seconds before opening her parachute and then descends the rest of the way at a constant speed of 5 m/s.

    9. A kid on a bicycle rides toward the east at a constant 10 m/s for 5 minutes, stops for an instant and then returns home (where he started from).

The following questions refer to the figure below which shows the position-versus-time

    of two objects, A and B. Both objects travel along the x-axis.

xm()

    A

    50B

    10

    ts()5.010

10. At time t = 5.0 s, which object has the greater speed? Explain why you answered as

    you did.

    11. Do the two objects ever have the same speed? Explain.

12. Explain what is happening at time t = 7.5 s.

    The following figures all show a position-versus-time graph. In the space provided sketch the corresponding velocity-versus-time graph.

13. 14.

    xm()xm()

    00ts()ts()

vms(/)vms(/)

    00ts()ts()

15. 16.

    xm()xm()

    00ts()ts()

vms(/)vms(/)

    00ts()ts()

17. 18.

    xm()xm()

    00ts()ts()

vms(/)vms(/)

    00ts()ts()

    The following figures show a velocity-versus-time graph. Sketch the corresponding position-versus-time graph, and give a description of the motion of the object.

19. 20.

    vms(/)vms(/)

    00ts()ts()

     xm()xm()

    00ts()ts()

21. 22.

    vms(/)vms(/)

    00ts()ts()

     xm()xm()

    00ts()ts()

For each of the following situations give a specific example, provide a description, and a

    motion diagram.

23. but. a0v0xx

24. but v0a0xx

25. and v0a0xx

26. and v0a0xx

27. and v0a0xx

28. and v0a0xx

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