Out of the two cars A and B, car A is moving towards east with a velocity of 10 m / s whereas B is moving towards north with a velocity 20 m / s, then velocity of A w.r.t. B is (nearly)

Question

Out of the two cars A and B, car A is moving towards east with a velocity of 10 m / s whereas B is moving towards north with a velocity 20 m / s, then velocity of A w.r.t. B is (nearly) (A) 30 m / s (B) 10 m / s (C) 22 m / s (D) 42 m / s

Tardigrade Admin · Accepted Answer

vecVA B= vecVA- vecVB VA B=√VA2+VB2 | vecVA B|=√102+202 =√100+400=√500 ≃ 22 ms -1

Q. Out of the two cars $A$ and $B$ , car $A$ is moving towards east with a velocity of $10 m / s$ whereas $B$ is moving towards north with a velocity $20 m / s$ , then velocity of $A$ w.r.t. $B$ is (nearly)

30 m / s

10 m / s

22 m / s

42 m / s

$V_{A B} = V_{A} - V_{B}$
$V_{A B} = V_{A}^{2} + V_{B}^{2}$
$∣ ∣ V_{A B} ∣ ∣ = 1 0^{2} + 2 0^{2}$
$= 100 + 400 = 500 ≃ 22 m s^{- 1}$

Q. Out of the two cars A and B, car A is moving towards east with a velocity of 10m/s whereas B is moving towards north with a velocity 20m/s, then velocity of A w.r.t. B is (nearly)