calculus - motion (AB) Flashcards
velocity = 0
stopped
new position
initial position + change
f(new) = f(old) + integral of velocity
acceleration and velocity have the same sign
speed increasing
velocity graph is above the x-axis
moving right or up
velocity
moving left or down
total distance travelled formula
integral of abs value of velocity
On the velocity graph, how can you find if there is a change of direction
graph crossed over the x-axis
speed decreasing
velocity and acceleration have different signs
working against each other - slowing down
velocity > 0
moving up or right
displacement
integral of velocity
velocity graph is below the x-axis
moving left or down
velocity and acceleration have different signs
speed decreasing
acceleration = 0
constant speed
what happens if the velocity changes sign?
change of direction
How far you are from where you started
displacement
On the velocity graph how can you tell you stopped?
x-intercept - touches x-axis
speed increasing
velocity and acceleration have the same sign
working together - speeding up
velocity graph touches x-axes
stopped
integral of velocity on interval
displacement
- how much your position has changed
velocity graph crosses x-axis
change of direction
stopped
velocity = 0
average velocity
(final pos - initial pos)/(change in time)
1/(b-a) * integral of velocity
moving right or up
velocity > 0
speed is..
abs value of velocity
-always positive
