Ram Shyam are walking on two perpendicular tracks with speed `3ms^(-1)` and `4 ms^(-1)`, respectively. At a certain moment `(say t = 0s)`, Ram and Shyam are at 20 m and 40 m away from the intersection of tracks, respectively, and moving towards the intersection of the tracks. During the motion the magnitude of velocity of ram with respect to Shyam isA. `1 ms^(-1)`B. `4 ms^(-1)`C. `5 ms^(-1)`D. `7 ms^(-1)`

Ram Shyam are walking on two perpendicular tracks with speed `3ms^(-1)

1.	Ram Shyam are walking on two perpendicular tracks with speed `3ms^(-1)` and `4 ms^(-1)`, respectively. At a certain moment `(say t = 0s)`, Ram and Shyam are at 20 m and 40 m away from the intersection of tracks, respectively, and moving towards the intersection of the tracks. During the motion the magnitude of velocity of ram with respect to Shyam isA. `1 ms^(-1)`B. `4 ms^(-1)`C. `5 ms^(-1)`D. `7 ms^(-1)`
Answer» Correct Answer - C c. `vecv_(R,S) = vecv_R - vecv_S - vecv_R + (-vecv_S)` `\|vecv_(R,S)\| = sqrt(3^2 + 4^2) = 5ms^(-1)` `tan theta \|vecv_R\|/\|vecv_S\| = 3/4` Hence, `v = 37%@`

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