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Practicing with Graphs

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Practicing with Graphs

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    1. Practicing with Graphs

    2. Sketch velocity vs. time graphs corresponding to the following descriptions of the motion of an object.

    3. The object is standing still.

    4. The object moves toward the origin at a steady speed for 10s, then stands still for 10s.

    5. The car driving down the road moves away from you (the origin) at a steady speed for 10s, reverses direction and comes driving back toward you at the same speed.

    6. An object that started at a slow speed is gradually speeding up at a constant rate.

    7. An object that started at a high speed, is gradually slowing down and then stops.

    8. This time plot the motion on a DISPLACEMENT-TIME graph

    9. This time plot the motion on a DISPLACEMENT-TIME graph

    10. Draw the velocity vs time graphs for an object whose motion produced the position vs time graphs shown below at left.

    12. Draw the velocity vs time graphs for an object whose motion produced the position vs time graphs shown below at left.

    13. Quick Quiz 1) What is the equation for average velocity???

    14. Quiz 2) How do we find the acceleration from a velocity-time graph?

    15. Quick Quiz 3) If an object accelerated at a constant rate so that it went from a speed of 0 m/s to a speed of 10 m/s, what was its average speed during this time?

    16. Quick Quiz 4) What is the equation for determining displacement when an object is moving at a constant speed? 5) What is the equation for determining displacement when an object is moving with an acceleration?

    17. 6) What is the acceleration of a car that goes from a speed of 12 m/s to a speed of 28 m/s in a time of 8 seconds?

    18. 7) If gravity accelerates an object at a rate of 10 m/s2 and you drop an object from rest how fast will it be going after 7 seconds?

    19. This time plot the motion on a DISPLACEMENT-TIME graph

    20. Answers 1) Average speed = (total displacement)/ time 2) Find the slope (rise/run) 3) 5 m/s …… Or in other words find the midpoint between the initial speed and final speed 4) d = vavgt 5) d = vavgt……. Just remember to make sure you are using AVERAGE speed, not the final speed. 6) 2 m/s2 Acc = (?v)/ t = (16 m/s)/ 8 s = 2 m/s2 7) a=?v / t ?v = at = 10 m/s2 x (7 s) = 70 m/s

    21. 8)

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