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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: ->->->->->->->->->->->-> (start in the next line):
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Sketch a straight line segment between these points.
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
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What are the rise, run and slope of this segment?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
Rise is 30, run is 5, slope would then be 6.
@& RIse would be 30 cm/s, run would be 5 sec and slope would be 30 cm/s^2.
When quantities have units, they need to be expressed with those units.*@
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What is the area of the graph beneath this segment?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
I have absolutely no idea! Just being honest.
@& Honesty is always respected, besides which it's really the only option consistent with progress.
This can be challenging until you see what's going on. Answer these questions to the best of your ability and we'll go from there:
The region beneath the graph is a trapezoid sitting on the t axis, with 'graph altitudes' 10 cm/s and 40 cm/s. Its width is the 5 cm run between your points.
What do the altitudes represent?
What does the width represent?
What is the average altitude of the trapezoid, and what does this represent?
What is the width of the trapezoid?
You know its average altitude and width, wo what is the area of the trapezoid, and what does it represent?
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10 minutes
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