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Kinematics

Formulas

  • Vavg = d/t

  • V→avg = (Vi→ + Vf→)/2

  • d→ = ((Vi→ + Vf→)/2)t

  • a = (Vf - Vi)/t

  • Fg = mg

  • w = Fd

  • Ep = mph

  • Ek = ½ mv²

  • Em = Ek + Ep

  • Ek = Ep

  • % efficiency = useful energy output/total energy output x 100%

  • d→ = Vi→t + ½ a→t²

  • d→ = Vf→t - ½ a→t²

  • Vf² = Vi² + 2ad

Scalar Quantities

  • scalar quantities have magnitude only, but no direction

    • time

    • mass

    • work

    • energy

Vector Quantities

  • vector quantities have both magnitude and direction

    • displacement

    • velocity

    • acceleration

    • force

  • have an arrow on top of the variable to indicate its a vector quantity

The Physics of Motion

  • direction - change in positions disregarding direction

  • displacement - change in position involving direction

  • speed - divides distance traveled over time

  • velocity - divides displacement traveled over time

  • acceleration - the amount of velocity change over a specific amount of time

Slopes/Graphs

  • slope of distance-time = speed

  • slope of displacement-time = velocity

  • slope of velocity-time = acceleration

    • area under the curve = displacement

  • slope of speed-time = change in speed

    • area under the curve = distance

  • acceleration-time

    • area under the curve = change in velocity

Average Velocity

if something undergoes uniform acceleration, its velocity-time graph is a straight line and the average velocity is the midpoint of the graph’s line

  • V→average = (Vi→ + Vf→)/2 and d→ = ((Vi→ + Vf→)/2)t

those two equations can be combined into more equations

  • d→ = Vi→t + ½ a→t²

  • d→ = Vf→t - ½ a→t²

  • Vf² = Vi² + 2ad