83.5 Geometric interpretations I. The change in the position vector component d dr=v,(t)dt Ar=l dx= v(t)dt () Accelerated motion Constant speed motion 2. The change in the velocity component dv dy =a dt a, (tdt dt (t 83.5 Geometric interpretations a a Accelerated motion Constant acceleration motion 3. What does the negative areas mean? a Accelerated motion8 §3.5 Geometric interpretations 1. The change in the position vector component ∫ ∫ = ∆ = = f i f i t t x x t x t x dx v (t)dt x dx v (t)dt ( ) ( ) 2. The change in the velocity component ∫ ∫ = ∆ = = f i x f x i t t x v t v t x x x x dv a dt v dv a (t)dt ( ) ( ) t t v (t) x v (t) x i t i f t t f t Accelerated motion Constant speed motion t x v x d d = t v a x x d d = t t a (t) x a (t) x i t i f t t f t Accelerated motion Constant acceleration motion t t a (t) x v (t) x Accelerated motion §3.5 Geometric interpretations 3. What does the negative areas mean?