Derive equations of motion for a particle moving in a plane and show that the motion can be resolved in two independent motion in mutually perpendicular directions
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Displacement in 2 -D plane s⃗ =sxi^+syj^s→=sxi^+syj^ Velocity in 2D2D -plane v⃗ =vxi^+vyj^v→=vxi^+vyj^ Acceleration in 2D2D -plane a⃗ =axi^+ayj^a→=axi^+ayj^ where i and j are unit vectors along x-axis and yaxis of cartesian coordinate system. For uniform accelerated motion we have 3 equations of motion in vector form v⃗ =u⃗ +a⃗ t…………….(1)v→=u→+a→t…………….(1) s⃗ =u⃗ t+12a⃗ t2………….(2)s→=u→t+12a→t2………….(2) v⃗ ⋅
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