Chapter 2 Book Notes Flashcards
(23 cards)
What is displacement?
The vector that points from point 1 to point 2
What is average velocity?
The displacement divided by time
What is the formula for displacement?
Delta X=x2-x1
What is the formula for average velocity?
(x2-x1) / (t2-t1)
What is instantaneous velocity?
The velocity at a specific point
How do we find instantaneous velocity?
delta x/ delta t… or the derivative of x with respect to t
What is the difference between speed and velocity?
Velocity is a vector while speed is not. Speed is represented by a v with no subscripts
How do we find instantaneous x-velocity at a point?
Find the tangent line to said point. Make sure the limit of delta x approaches zero
What is acceleration?
The rate of change of velocity with respect to time
What is the formula for average acceleration?
(V2x-V1x) / (t2-t1)… aka delta Vx/ delta t
What is instantaneous acceleration?
The limit of the average acceleration as the time interval approaches zero… or the derivative of velocity with respect to time
What does the second derivative reveal?
The concavity of a function..If it’s concave up, the acceleration is increasing and vice versa.
What is constant acceleration?
Where the change in velocity is constant
What is the formula for constant acceleration?
(V2x - V1x) / (t2 - t1)
What is the formula for constant acceleration if the initial time is zero?
(vx - v0x) / t
What is the formula for the total change in x velocity?
vx = v0x - ax * t
What is the formula for the x-position with constant acceleration?
(x - x0) / t
What is the formula for average velocity with constant acceleration?
(v0x + vx) / 2 OR v0x + 0.5 * ax * t
What is the formula for position combining the other formulas?
x= x0 + (v0x * t) + (0.5) (ax) (t^2)
What is time equal to with position and x velocity?
t=(vx - v0x)/ ax
What is free fall?
The idea that objects fall at an equal rate regardless of their weight
How do you find velocity from an acceleration function?
Integrate it and add Vx0
How do you find position from a velocity function?
Integrate it and add x0
