A boat is moving with a velocity 3hati -...

A boat is moving with a velocity `3hati - 4hatj` w.r.t ground. The water in the river is moving with a velocity `- 3hati -4hatj` w.r.t ground. What is the relative velocity of boat w.r.t water.

`6 hati + 8 hatj`

`8 hati + 6 hatj`

`4 hati + 3 hatj`

`-6 hati - 8 hatj`

Text Solution

Verified by Experts

The correct Answer is:

Here, `vecv_(BG) = 3 hati + 4hatj , vecv_("WG") = - 3 hati- 4hatj`
`:. vecv_(BW)=vecv_(BG)-vecv_(WG)=(3hati+4hatj)-(-3hati-4hatj)=6 hati+8 hatj`

Topper's Solved these Questions

KINEMATICS
MTG GUIDE|Exercise Topicwise Practice Questions (PROJECTILE MOTION)|58 Videos
KINEMATICS
MTG GUIDE|Exercise Topicwise Practice Questions (UNIFORM CIRCULAR MOTION)|8 Videos
KINEMATICS
MTG GUIDE|Exercise Topicwise Practice Questions (SCALAR AND VECTOR PRODUCTS OF VECTORS )|16 Videos
GRAVITATION
MTG GUIDE|Exercise AIPMT/NEET MCQS|32 Videos
LAWS OF MOTION
MTG GUIDE|Exercise AIPMT /NEET (MCQ)|24 Videos

Similar Questions

Explore conceptually related problems

A boat is moving with a velocity (3hati +hatj) with respect to ground. The water in the river is moving with a velocity -3hati - 4hatj with respect to ground. What is the relative velocity of boat with respect to river ?

A boat is moving with a velocity 3 hat i+ 4hat j with respect to ground. The water in the river is moving with a velocity -3 hat i - 4 hat j with respect to ground. The relative velocity of the boat with respect to water is.

A boat is moving with a velocity 2i + 3j with respect to ground. The water in the river is moving with a velocity -2i - 3j with respect to ground. The relative velocity of the boat with respect to water is

A boat stems in a river with velocity 2hati + hatj with respecitve to the ground. The river water flows with a velocity -3hati - 4hatj with respect to the ground. What is the relative velocity of boat w.r.t river water ?

In a reference frame a man A is moving with velocity (3hati-4hatj)ms^(-1) and another man B is moving with velocity (hati+hatj)ms^(-1) relative to A. Find the actual velocity of B.

The velocity of image w.r.t ground in the below figure is

Rain is falling with a velocity (-4hat(i)+8hat(j)-10hat(k)) . A person is moving with a velocity of (6hat(i)+8hat(j)) on the ground. The velocity of man w.r.t. rain is :

A palen mirror placed along xy plane is moving with velocity -3hati+5hatk-4hatk. A point in front of the plane mirror is moving with velocity -2hati-4hatj+4hatk. Find velocity of image [-2hati=14hatj+4hatk]

In a solution, a board moving a velocity v hati w.r.t. earh, while a man a is running with a velocity 2vhati w.r.t. earth and the man B is running with a velocity -2vhati with respect to earth. Both men are running from the opposite ends of the board at the same time as shown. Lenght of the board is L and they meet after time T, then

MTG GUIDE-KINEMATICS -Topicwise Practice Questions (MOTION IN A PLANE )

A particle is moving eastwards with velocity of 5 m//s. In 10 sec the ...
Text Solution
|
A car travels due east on a level road for 30 km. It then turns due no...
Text Solution
|
In 1.0 s, a particle goes from point A to point B, moving in a semici...
Text Solution
|
The x and y coordinates of a particle at any time t are given by x=7t+...
Text Solution
|
A particle moves in the x-y plane with velocity vx = 8t-2 and vy = 2. ...
Text Solution
|
A person travels towards north by 4 m and then turns to west and trave...
Text Solution
|
A cyclist starts from the centre O of a circular park of radius one ki...
Text Solution
|
An athelete completes one round of a circular track of radius R in 40...
Text Solution
|
Four person K,L,M and N are initally at the corners of a square of sid...
Text Solution
|
A toy cyclist completes one round of a square track of side 2 min 40 s...
Text Solution
|
A particle motion on a shape curve is governed by x=2sint, y = 3cost a...
Text Solution
|
Two cars A and B start moving from the same point with same velocity v...
Text Solution
|
A car runs at a constant speed on a circulat track of radius 100 m. T...
Text Solution
|
If the velocity (in ms^(-1) ) of a particle is given by , 4.0 hati + 5...
Text Solution
|
A particle is moving on circular path as shown in the figure. Then dis...
Text Solution
|
A boat is moving with a velocity 3hati - 4hatj w.r.t ground. The water...
Text Solution
|
A particle starts from the origin of coordinates at time t = 0 and mov...
Text Solution
|
The position of a particle is given by vecr = 2t^(2) hati + 3t hatj +...
Text Solution
|
The (x,y,z) co -ordinates of two points A and B are give respectively ...
Text Solution
|
A man moves 20 m north, then 10m east and then 10sqrt2 m south-west. ...
Text Solution
|