Best Fit Lines
20 flashcards · Physics · by Logan Pollack
Points before the break of a graph cannot be used to calculate the slope. (can or cannot)
slope formula
m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}m=x2−x1y2−y1
Is the slope of a best fit line calculated from the data points or the line?
the line
When should you use a best fit curve?
If the data appears to follow an exponential pattern
Scaler
Quantity with a magnitude only
Scaler examples
Time, Mass, Distance, Speed
Vector
Quantity given with both a magnitude and direction
Vector examples
Displacement, Velocity, Acceleration, Force, Momentum
Properties of Vectors
Can be moved as long as length and direction do not change Must have arrowhead Order of addition does not matter Two or more vectors added produce a resultant The resultant replaces the added vectors
Equilibrium
a vector that forces an object in equilibrium (balanced forces) same magnitude as resultant but opposite direction
Speed
Scalar Distance covered per unit of time Measured in meters/second Equation: v = d/t
Velocity
Vector Displacement traveled per unit of time Measured in meters/second Equation: v = d/t
If an object is traveling in one direction(s), then the speed and velocity have the same magnitude
Speed and Velocity Comparison
Dot Diagram
A long piece of ticker tape with dots imprinted at regularly timed intervals
Concurrent Vectors
Vectors that are drawn with their tails touching Used to indicate the general direction of the resultant Cannot be used to calculate exact resultants The resultant will fall somewhere between the two vectors
Maximum Resultant
Vectors are directed in the same direction 0° angle between the two vectors Resultant found by adding two vectors
Minimum Resultant
Vectors are directed in opposite directions 180° angle between the two vectors Resultant found by subtracting two vectors
Range
All resultants must fall within the range between the maximum and the minimum As the angle increases the resultant decreases
Vector Diagram
A vector diagram that has the same magnitude and same direction would also indicate constant velocity
Motion Graph
The slope of a distance/displacement/position versus time graph are used to represent speed/velocity The steeper the slope, the greater the speed/velocity Constant slope = constant speed/velocity