basic calculus Flashcards
velocity =
displacement/ time
acceleration =
velocity/ time
3 methods of differientation
- graphical method
- analytical method
- finite difference
the smaller the points the distance b/w points A and B the closer we get to an instantaneous value (drawing tangents)
graphical method
evaluating the functions that define the curve
analytical method
when differentiating the path taken
displacment –> velocity–> acceleration
when integrating the path taken
acceleration –> velocity –> displacement
used when comparing data based on different times (the change in this over the change in that)
finite difference
ex, accel= change in V/change in T
the area under an acceleration time graph =
velocity
the area under an velocity time graph
displacement
the way to find the area under the curve
integration
3 ways to calculate the area under the curve
- reimann sum method
- integral sum
- analytical method
adding rectangles with the smallest width possible
integral sum
adding up the smallest rectangles
reimann sum method
an experimental application that measures the displacement and finds the acceleration using a camera
image analysis
