Car A is moving to the East with a speed of 3 | vedclass

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

Question

(A) Given that,velocity of car $A$ is $\vec{v}_A = 30 \hat{i} 	ext{ km/h}$ (toward East).For car $B$,velocity is $\vec{v}_B = 30 \hat{j} 	ext{ km/h}

Vedclass · Accepted Answer

$42 	ext{ km/h}, 45^{\circ}$ North of West

Vedclass · Answer

(A) Given that,velocity of car $A$ is $\vec{v}_A = 30 \hat{i} 	ext{ km/h}$ (toward East).For car $B$,velocity is $\vec{v}_B = 30 \hat{j} 	ext{ km/h}$ (toward North).The velocity of car $B$ as measured from car $A$ is the relative velocity $\vec{v}_{BA} = \vec{v}_B - \vec{v}_A$.$\vec{v}_{BA} = 30 \hat{j} - 30 \hat{i} 	ext{ km/h}$.The magnitude of $\vec{v}_{BA}$ is $|\vec{v}_{BA}| = \sqrt{(-30)^2 + (30)^2} = \sqrt{900 + 900} = \sqrt{1800} = 30\sqrt{2} \approx 42 	ext{ km/h}$.The direction is given by $	an 	heta = \frac{v_{y}}{v_{x}} = \frac{30}{-30} = -1$. This corresponds to an angle of $135^{\circ}$ from the positive $x$-axis (East).Since the vector points in the second quadrant (negative $x$,positive $y$),it is $45^{\circ}$ North of West.

Car $A$ is moving to the East with a speed of $30 \text{ km/h}$,and car $B$ is moving to the North with the same speed. What is the velocity of car $B$ as measured from car $A$?

Similar Questions

$A$ river is flowing from west to east at a speed of $8\,m/min$. $A$ man on the south bank of the river,capable of swimming at $20\,m/min$ in still water,wants to swim across the river in the shortest time. He should swim in a direction

$A$ $120 \, m$ long train is moving towards west with a speed of $10 \, m/s$. $A$ bird flying towards east with a speed of $5 \, m/s$ crosses the train. The time taken by the bird to cross the train will be ........ $sec$.

Two particles $A$ and $B$ are moving in a horizontal plane as shown in the figure at $t = 0$. The time after which $A$ will catch $B$ is.......$s$.

$A$ boat crosses a river with a velocity of $8 \, km/h$ relative to the water. If the resultant velocity of the boat with respect to the ground is $10 \, km/h$,then the velocity of the river water is...........$km/h$.

$A$ boat is sent across a river with a velocity of $8 \, km/hr$. If the resultant velocity of the boat is $10 \, km/hr$,then the velocity of the river is ........ $km/hr$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module