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A particle moves in a plane such that it...

A particle moves in a plane such that its coordinates changes with time as `x = at` and `y = bt`, where a and b are constants. Find the position vector of the particle and its direction at any time t.

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To solve the problem step by step, we will derive the position vector of the particle and determine its direction at any time \( t \). ### Step 1: Define the coordinates of the particle The coordinates of the particle are given as: - \( x = at \) - \( y = bt \) where \( a \) and \( b \) are constants. ...
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