Two cars A and B are moving with speeds v_A = | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The given situation is shown in the figure.Velocity of car $A$ is along the negative $x$-axis:$\vec{v}_A = -120 \hat{i} 	ext{ km/h}$Velocity of c

Vedclass · Accepted Answer

$130$

Vedclass · Answer

(C) The given situation is shown in the figure.Velocity of car $A$ is along the negative $x$-axis:$\vec{v}_A = -120 \hat{i} 	ext{ km/h}$Velocity of car $B$ is along the negative $y$-axis:$\vec{v}_B = -50 \hat{j} 	ext{ km/h}$The relative velocity of car $B$ with respect to car $A$ is given by:$\vec{v}_{BA} = \vec{v}_B - \vec{v}_A$$\vec{v}_{BA} = (-50 \hat{j}) - (-120 \hat{i})$$\vec{v}_{BA} = 120 \hat{i} - 50 \hat{j}$The relative speed is the magnitude of the relative velocity vector:$|\vec{v}_{BA}| = \sqrt{(120)^2 + (-50)^2}$$|\vec{v}_{BA}| = \sqrt{14400 + 2500}$$|\vec{v}_{BA}| = \sqrt{16900}$$|\vec{v}_{BA}| = 130 	ext{ km/h}$

Two cars $A$ and $B$ are moving with speeds $v_A = 120 \text{ km/h}$ and $v_B = 50 \text{ km/h}$ respectively in the directions as indicated by the arrows in the figure below. What is the relative speed of car $B$ with respect to car $A$ (in $\text{ km/h}$)?

Similar Questions

Two boys are standing at points $A$ and $B$ on the ground,where distance $AB = x$. The boy at $B$ starts running perpendicular to $AB$ with velocity $v_1$. The boy at $A$ starts running simultaneously with velocity $v$ and meets the other boy in time $t$. The value of $t$ is:

The velocities of $A$ and $B$ are $\vec{v}_A = 2 \hat{i} + 4 \hat{j}$ and $\vec{v}_B = 3 \hat{i} - 7 \hat{j}$. The velocity of $B$ as observed by $A$ is:

Two parallel rail tracks run north-south. Train $A$ moves north with a speed of $54 \; km \; h^{-1},$ and train $B$ moves south with a speed of $90 \; km \; h^{-1}.$ What is the velocity of the ground in $m \; s^{-1}$ with respect to train $B$?

$A$ man can swim with a speed of $4 \ km/h$ in still water. How long does he take to cross a river $1 \ km$ wide, if the river flows steadily at $3 \ km/h$ and he makes his strokes normal to the river current (in $min$)?

Out of the two cars $A$ and $B$,car $A$ is moving towards the east with a velocity of $10 \, m/s$,whereas car $B$ is moving towards the north with a velocity of $20 \, m/s$. The velocity of $A$ with respect to $B$ is ......... $m/s$ (nearly).

Vedclass Test Series

Exam Paper Generator

Online Exam Module