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Equation of Motion in a plane with Uniform Velocity #8211; Let v<sub>x</sub> and v<sub>y</sub> be magnitudes of the components of velocity v of the object along along X and Y #8211; axes. Then, v = v<sub>x</sub>i + v<sub>y</sub>j Also, r<sub>0</sub> = X<sub>0</sub> + Y<sub>0</sub> and r = Xi + Yj So, X = X<sub>0</sub> + v<sub>x</sub>t #8230;(i) Y = Y<sub>0</sub> + v<sub>y</sub>t #8230;.(ii) From Eqs. (i) and (ii), we get that in two dimensional motion with uniform velocity, each rectangular position coordinates depends upon time in exactly the same way as in one dimensional motion with uniform velocity.
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