Physics I Notes

Average/Instantaneous Velocity & Acceleration:

Average:

 vavg=ΔxΔtv_{avg}=\frac{\Delta x}{\Delta t}  

aavg=ΔvΔta_{avg}=\frac{\Delta v}{\Delta t}

Instantaneous:

v_{inst}=\frac{\differentialD x}{\differentialD t}  

a_{inst}=\frac{\differentialD v}{\differentialD t}  

      Kinematic Equations:

    v=vo+atv=v_{o}+at

    Δx=12(v0+v)t\Delta x=\frac12\left(v_0+v\right)t

    Δx=vot+12at2\Delta x=v_{o}t+\frac12at^2

    v2=vo2+2aΔxv^2=v_{o}^2+2a\Delta x

Uniform Circular Motion:

    arad=v2ra_{rad}=\frac{v^2}{r}

    v=2πRTv=\frac{2\pi R}{T}

    arad=4π2RT2a_{rad}=\frac{4\pi^2R}{T^2}

    arad=2πvTa_{rad}=\frac{2\pi v}{T}

Relative velocity:

    vP−A−vB−A=vP−Bv_{P-A}-v_{B-A}=v_{P-B}

    vP−A=vP−B+vB−Av_{P-A}=v_{P-B}+v_{B-A}