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29 Cards in this Set
- Front
- Back
1st in Scientific Reasoning
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purpose or question
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2nd in Scientific Reasoning
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form a hypothesis
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3rd in Scientific Reasoning
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identify variables
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4th in Scientific Reasoning
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design a procedure
-materials and instruments -how data is collected -collection of data |
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5th in Scientific Reasoning
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Analysis and evaluation of data
-average data if necessary -graph if appropriate -transform graph if necessary -produce mathematical model |
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6th in Scientific Reasoning
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Conclusion
-mathematical model -importance of numerical results -statement of relationship b/w variables |
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Position time graph is linear
acceleration... |
acceleration = 0
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equation of motion
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x= vt + x-not
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explaination of uniform motion
time vs. position |
position changes uniformly with time; position and time are proportional
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slope or average velocity in uniform motion
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delta x over delta t
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the motion map for uniform motion is...
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objects position changes uniformly; positions at regular time intervals are evenly spaced
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motion map of a fast car vs a slow car
why? |
fast car: dots are farther apart
slow car: dots are closer together why? the fast car travels more distance at each time interval than the slow car |
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general form of the equation of a line:
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y=mx+b
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transforming data: Upward opening parabola
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square values of the independent variable
y=mx^2+b |
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y=mx^2+b shows:
y... m... |
-m is the slope of the transformed graph and proportionality constant of original curve
-y is proportional to the square of x |
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Transforming data: Sideways opening parabola
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square values of dependent variable
y^2=mx+b |
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y^2=mx+b shows...
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square of y is proportional to the x
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Transforming curve: curve part faces both the x and y axis
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inverse curve: plot invers values of x variable:
y=m*1/x |
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Def. of Instananeous velocity
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is the velocity an object has at any given instant.
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best way to find instant. velocity
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find the average velocity for a very short distance and time interval
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describe the graph of time vs. velocity
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some objects change with velocity proportional to time
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mathematical model for time vs. velocity
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v=at+v-not
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average acceleration
of time vs. velocity (slope) |
a= delta v over delta t
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time vs. velocity and position vs. time
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when plotting the same data of time vs. velocity, for position vs. time, the result will be a curve (upward opening)
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position vs. time graph
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position is proportional to the square of time
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equation of position vs. time
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x=1/2at^2 or x=v-not *t +1/2at^2
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interpretation of position vs. time graph of non-uniform motion
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position of the object changes faster than time changes
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motion map of position vs. time graph
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start closer together than get farther apart
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relation between velocity vs. position
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v^2=2ax +v-not^2
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