Key Equations Position vector F()=(+) }+v()} + x()[ Displacement vector AF =F (ts) - F (+1) Velocity vector v (t) = lim (+At)-(c) At-0 Ar Velocity in terms of components V (t) - v. (t) } + v, (t) } + v. (t) E Velocity components Us (t) - "de Average velocity Instantaneous acceleration a(t)= lim *+4)-70) Instantaneous acceleration, component form A(t) = = (0) + "("] + 4,00 € Instantaneous acceleration as second derivatives of position Time of flight 2( tinky) Trajectory y= (tanf() = - Range Centripetal acceleration Tangential acceleration or = # Total acceleration Ïps =?pg +1g's = daniel vy (t). ty(!) v. (t) - H Position vector in frame Sis the position vector in frame S" plus the vector from the origin of Sto the origin of SY Relative velocity equation connecting two reference frames Relative velocity equation connecting more than two reference frames VPC = VPA + VAB + VBC Relative acceleration equation aps = apy + ågs