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10 cards from this deck
Velocity depends on observer's position and motion
Viewpoint from which motion is observed and measured
s⃗1 relative to 2=d⃗1−d⃗2\vec{s}_{1 \text{ relative to } 2} = \vec{d}_1 - \vec{d}_2s1 relative to 2=d1−d2
v⃗1 relative to 2=v⃗1−v⃗2\vec{v}_{1 \text{ relative to } 2} = \vec{v}_1 - \vec{v}_2v1 relative to 2=v1−v2
Add the negative: v⃗1+(−v⃗2)\vec{v}_1 + (-\vec{v}_2)v1+(−v2)
Use Pythagoras: v=vx2+vy2v = \sqrt{v_x^2 + v_y^2}v=vx2+vy2
tanθ=vyvx\tan \theta = \frac{v_y}{v_x}tanθ=vxvy or vice versa
Resolve components, subtract, recombine using Pythagoras
v1 relative to 2=v1−v2v_{1 \text{ relative to } 2} = v_1 - v_2v1 relative to 2=v1−v2
Different velocities in different frames of reference
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