show that two dimensional uniform velocity motion is equivalent to two one dimensional uniform velocity motion along two coordinate
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Let us take two dimensional velocity V as shown in the graph . Resolving this velocity along X and Y perpendicular directions . We get , Along X axis V X = V cosθ - - - 1 and Along Y axix V Y = V sinθ - - - 2 Squaring and adding eqns . 1 and 2 , we obtain , V 2 = V X 2 + V Y 2 = V 2 sin 2 θ + cos 2 θ = V
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