Ram moves in east direction at a speed of 6 m / s and Shyam moves 30° east of north at a speed of 6 m / s. The magnitude of their relative velocity is

Question

Ram moves in east direction at a speed of 6 m / s and Shyam moves 30° east of north at a speed of 6 m / s. The magnitude of their relative velocity is (A) 3 m / s (B) 6 m / s (C) 6 √3 m / s (D) 6 √2 m / s

Tardigrade Admin · Accepted Answer

| vecVR S|=√VR2+VS2-2 VR VS cos θ =√62+62-2 × 62 × (1/2) =6 ms -1

Q. Ram moves in east direction at a speed of $6 m / s$ and Shyam moves $3 0^{\circ}$ east of north at a speed of $6 m / s$ . The magnitude of their relative velocity is

$3 m / s$

$6 m / s$

$63 m / s$

$62 m / s$

$∣ ∣ V_{RS} ∣ ∣ = V_{R}^{2} + V_{S}^{2} - 2 V_{R} V_{S} cos θ$
$= 6^{2} + 6^{2} - 2 \times 6^{2} \times \frac{1}{2}$
$= 6 m s^{- 1}$

Q. Ram moves in east direction at a speed of 6m/s and Shyam moves 30∘ east of north at a speed of 6m/s. The magnitude of their relative velocity is

3m/s

6m/s

63​m/s

62​m/s