Physics December Final
Terms
copy deck
 1st in Scientific Reasoning
 purpose or question
 2nd in Scientific Reasoning
 form a hypothesis
 3rd in Scientific Reasoning
 identify variables
 4th in Scientific Reasoning

design a procedure
materials and instruments
how data is collected
collection of data  5th in Scientific Reasoning

Analysis and evaluation of data
average data if necessary
graph if appropriate
transform graph if necessary
produce mathematical model  6th in Scientific Reasoning

Conclusion
mathematical model
importance of numerical results
statement of relationship b/w variables 
Position time graph is linear
acceleration...  acceleration = 0
 equation of motion
 x= vt + xnot

explaination of uniform motion
time vs. position  position changes uniformly with time; position and time are proportional
 slope or average velocity in uniform motion
 delta x over delta t
 the motion map for uniform motion is...
 objects position changes uniformly; positions at regular time intervals are evenly spaced

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  general form of the equation of a line:
 y=mx+b
 transforming data: Upward opening parabola

square values of the independent variable
y=mx^2+b 
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  Transforming data: Sideways opening parabola

square values of dependent variable
y^2=mx+b  y^2=mx+b shows...
 square of y is proportional to the x
 Transforming curve: curve part faces both the x and y axis

inverse curve: plot invers values of x variable:
y=m*1/x  Def. of Instananeous velocity
 is the velocity an object has at any given instant.
 best way to find instant. velocity
 find the average velocity for a very short distance and time interval
 describe the graph of time vs. velocity
 some objects change with velocity proportional to time
 mathematical model for time vs. velocity
 v=at+vnot

average acceleration
of time vs. velocity (slope)  a= delta v over delta t
 time vs. velocity and position vs. time
 when plotting the same data of time vs. velocity, for position vs. time, the result will be a curve (upward opening)
 position vs. time graph
 position is proportional to the square of time
 equation of position vs. time
 x=1/2at^2 or x=vnot *t +1/2at^2
 interpretation of position vs. time graph of nonuniform motion
 position of the object changes faster than time changes
 motion map of position vs. time graph
 start closer together than get farther apart
 relation between velocity vs. position
 v^2=2ax +vnot^2