84.3 motion in three dimension 84.2 Two dimensional motion with a constant acceleration (self-study) 84.3 motion in three dimension r(t=x(t)i+y(t)j+z(t k △r(r)=△x(t)i+△y()j+△()k △ △F △ν ave △t ave △t ave △ d dr dy d dt dt 84. 4 relative velocity addition and accelerations 1. Reference frame A coordinate system with a set of synchronized clocks, all ticking at the same rate, is called reference system Coordinate +synchronized clocks Different choices for the reference frame lead to different description of motion, but the underlying physics is nonetheless the same 88 §4.2 Two dimensional motion with a constant acceleration (self-study) §4.3 motion in three dimension §4.3 motion in three dimension 2 2 ave ave ave d d d d , d d , d d , , ˆ ( ) ˆ ( ) ˆ ( ) ( ) ˆ ( ) ˆ ( ) ˆ ( ) ( ) t r t v a t r v t s v t v a t r v t s v r t x t i y t j z t k r t x t i y t j z t k r r r r r r r r r r r = = = = ∆ ∆ = ∆ ∆ = ∆ ∆ = ∆ = ∆ + ∆ + ∆ = + + §4.4 relative velocity addition and accelerations 1. Reference frame A coordinate system with a set of synchronized clocks, all ticking at the same rate, is called reference system. Different choices for the reference frame lead to different description of motion, but the underlying physics is nonetheless the same. Coordinate +synchronized clocks