GUESS method
G: given variables, at least 3 variables
U: unknown variable
E: equation
S: set-up to unknown variable
S: solve for unknown variable
motion diagram
graph represents position; dot represents time; bigger space /w dots means faster velocity
velocity (definition)
rate of change of position
units: m/s
graph: slope on a position v. time graph; steeper when faster
velocity (equation)
△ displacement / △ time
acceleration (definition)
rate of change of velocity
units: m/s²
graph: slope on a velocity v. time graph; steeper when faster
acceleration (equation)
△ velocity / △ time
speeding up
if acceleration and velocity have the same signs
displacement
change of position
graph: area under velocity v. time graph
uniform motion (definition)
constant velocity; a = 0
negative acceleration
position graph will show top half of parabola
positive acceleration
position graph will show bottom half of parabola
instantaneous velocity
velocity at a specific instant of t
free fall
a = -9.8 m/s² ≈ -10 m/s²; always points down
definition of acceleration
v = v₀ + (a * t)
time independent
v² = v₀² + (2a * ∆x)
quadratic
x = x₀ + (v₀ * ∆t) + 0.5 (a * ∆t²)
use v₀ or v
average velocity (not on equation sheet!)
x = x₀ + (0.5 * (v₁ + v₀) * ∆t)
proportional relationships
when line is linear (y = Cx), 2y = 2x