phy 121
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The problem:
A ball is moving at 10 cm/s when clock time is 4 seconds, and at 40 cm/s when clock time is 9 seconds.
• Sketch a v vs. t graph and represent these two events by the points (4 sec, 10 cm/s) and (9 s, 40 cm/s).
answer/question/discussion: ->->->->->->->->->->->-> : The graph shows the x axis with the time from 0 to 9 seconds, the y axis shows the positions in centimeters from 0 to 40. There are two data points on the graph, one at 4, 10 and the other at 9, 40.
• Sketch a straight line segment between these points.
answer/question/discussion: ->->->->->->->->->->->-> : The data points is connected with a straight line segment and shows an increasing slope at an increasing rate.
• What are the rise, run and slope of this segment?
answer/question/discussion: ->->->->->->->->->->->-> : The rise is 30, the run is 5 and the slope is 6. This is obtained by: rise – subtract the two distances, run – subtract the times, the slope – divide the rise by the run.
• What is the area of the graph beneath this segment?
answer/question/discussion: ->->->->->->->->->->->-> : The area of the graph beneath the segment shows the average velocities. The average velocity of this graph is 6cm/second.
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15 min
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&#Please compare your solutions with the expanded discussion at the link
Solution
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