Acceleration Test

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