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Derive equation of for a particle moving in a plane and show that motion can be resolved in two independent motion in mutually direction.
Asked by mohitsharma06474 | 12 Aug, 2019, 02:27: AM
Displacement in 2-D plane
Velocity in 2D-plane
Acceleration in 2D-plane
where i and j are unit vectors along x-axis and y-axis of cartesian coordinate system.

For uniform accelerated motion we have 3 equations of motion in vector form

If we choose a cartesian coordinate system, motion in any direction can be resolved in x-direction and y-direction.

Resolved form of equations (1), (2) and (3) are used to describe the motion individually in x and y directions.

Then resultant of resolved component will be considered to get net effect.

For example,  in x-direction, resolved form of eqn.(1) along x-direction, i.e., " vx = ux + ax t "
can be used to find the relation among initial velocity ux along x-direction, final velocity vx along y-direction,
acceleration ax along x-direction and time duration t
Answered by Thiyagarajan K | 12 Aug, 2019, 01:44: PM
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