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: ->->->->->->->->->->->-> :
For my graph I put velocity on the vertical axis and time on the horizontal axis. My numbers on the horizontal axis ranged from 2 seconds to 12 seconds, my velocity ranged from 10 cm/s to 60 cm/s. Then I put the two points (4 sec, 10 cm/s) and (9 sec, 40 cm/s) on the graph.
• Sketch a straight line segment between these points.
answer/question/discussion: ->->->->->->->->->->->-> :
On my graph a drew a straight line through the points (4 sec, 10 cm/s) and (9 sec, 40 cm/s).
• What are the rise, run and slope of this segment?
answer/question/discussion: ->->->->->->->->->->->-> :
rise= 40-10=30 run=10-4=6 slope=30/6=5
• What is the area of the graph beneath this segment?
answer/question/discussion: ->->->->->->->->->->->-> :
35 cm
I got my middle point at 20 then added 5, until I got to 8 seconds.
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30 minutes
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Good, but see the link below to see how units are used, and to see how to correctly find the area.
&#Please compare your solutions with the expanded discussion at the link
Solution
Self-critique your solutions, if this is necessary, according to the usual criteria. Insert any revisions, questions, etc. into a copy of this posted document. Mark any insertions with &&&& so they can be easily identified. &#