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two particles move simultaneously from two points A and B, 300m apart, the particle at A starts towards,B with a velocity of 25m/s & that at B,moves normal to the former with a velocity of 20m/s . find the relative velocity of the particle at A w.r.t to that at B . Determine whenr they closest to each other

two particles move simultaneously from two points A and B, 300m apart, the particle at A starts towards,B with a velocity of 25m/s & that at B,moves normal to the former with a velocity of 20m/s . find the relative velocity of the particle at A w.r.t to that at B . Determine whenr they closest to each other 

Grade:11

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear student

If the velocities of particles A and B are \mathbf{v}_A and \mathbf{v}_B respectively in terms of a given coordinate system, then the relative velocity of A with respect to B (also called the velocity of A relative to B, \mathbf{v}_{A/B}, or \mathbf{v}_{A \mathrm{\ rel\ } B}) is

\mathbf{v}_{A \mathrm{\ rel\ } B} = \mathbf{v}_A - \mathbf{v}_B.

Conversely, the velocity of B relative to A is

\mathbf{v}_{B \mathrm{\ rel\ } A} = \mathbf{v}_B - \mathbf{v}_A.

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