Exp1: mechanics, oscillations and waves

Formuly for the intire course

Magnitude of a vector

Vmod = square root of a² + b² +c²

Degrees of liberty (x,y)

Z=f(x,y)

Average vector velocity

V_m= (r(t + Δt)-r(t))/Δt or velocity vector final - velocity vector initial/ change in time

Instantaneous velocity vector

v(t) = Δr/Δt or dr/dt = ( dx/dt , dy/dt, dz/dt)

Average vector acceleration

a_m = (v( t + Δt)- v(t))/ Δt = Δv/Δt

Instantaneous vector acceleration

a(t) = dv/dt = ( dv_x/dt , dv_y/dt , dv_z/dt) or d²2r/dt² second derivative of position