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A car A is going north-east at 80 km/hr and another car B is going south-east at 60 km/hr. Then the direction of the velocity of A relative to B makes with the north an angle a such that tan a is -
- a)1/7
- b)3/4
- c)4/3
- d)3/5
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A car A is going north-east at 80 km/hr and another car B is going sou...
Both the cars are moving in perpendicular directions and thus we stop b and see speed of a wrt b, we get the direction of a is 80.cos 45 + 60.cos 45 east and 80.sin 45 - 60.sin 45.
That is the directions are 140.cos 45 east and 20.sin 45 north.
Thus the angle with north is tan-1 20/140
= tan-1 1/7
That is the directions are 140.cos 45 east and 20.sin 45 north.
Thus the angle with north is tan-1 20/140
= tan-1 1/7
Most Upvoted Answer
A car A is going north-east at 80 km/hr and another car B is going sou...
To solve this problem, we need to analyze the velocities of the two cars and find the relative velocity of car A with respect to car B.
Given information:
- Car A is moving north-east at a speed of 80 km/hr.
- Car B is moving south-east at a speed of 60 km/hr.
Step 1: Convert the velocities into their vector form.
- Car A is moving north-east, which can be represented as a vector with components (80/√2, 80/√2) km/hr.
- Car B is moving south-east, which can be represented as a vector with components (60/√2, -60/√2) km/hr.
Step 2: Find the relative velocity of car A with respect to car B.
- Subtract the velocity vector of car B from the velocity vector of car A.
- (80/√2, 80/√2) - (60/√2, -60/√2) = (20/√2, 140/√2) km/hr.
Step 3: Find the direction of the relative velocity.
- The direction of the relative velocity can be found by finding the angle it makes with the north direction.
- Let the angle be denoted as α.
- tan(α) = (140/√2) / (20/√2) = 140/20 = 7.
Therefore, the value of tan(α) is 7, which corresponds to option A - 1/7.
Given information:
- Car A is moving north-east at a speed of 80 km/hr.
- Car B is moving south-east at a speed of 60 km/hr.
Step 1: Convert the velocities into their vector form.
- Car A is moving north-east, which can be represented as a vector with components (80/√2, 80/√2) km/hr.
- Car B is moving south-east, which can be represented as a vector with components (60/√2, -60/√2) km/hr.
Step 2: Find the relative velocity of car A with respect to car B.
- Subtract the velocity vector of car B from the velocity vector of car A.
- (80/√2, 80/√2) - (60/√2, -60/√2) = (20/√2, 140/√2) km/hr.
Step 3: Find the direction of the relative velocity.
- The direction of the relative velocity can be found by finding the angle it makes with the north direction.
- Let the angle be denoted as α.
- tan(α) = (140/√2) / (20/√2) = 140/20 = 7.
Therefore, the value of tan(α) is 7, which corresponds to option A - 1/7.
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A car A is going north-east at 80 km/hr and another car B is going sou...
A car A is going north-east at 80 km/hr and another car B is going south-east at 60 km/hr. Then the direction of the velocity of A relative to B makes with the north an angle a such that tan a is -
ANSWER; 1/7 (A)
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A car A is going north-east at 80 km/hr and another car B is going south-east at 60 km/hr. Then the direction of the velocity of A relative to B makes with the north an angle a such that tan a is -a)1/7b)3/4c)4/3d)3/5Correct answer is option 'A'. Can you explain this answer?
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A car A is going north-east at 80 km/hr and another car B is going south-east at 60 km/hr. Then the direction of the velocity of A relative to B makes with the north an angle a such that tan a is -a)1/7b)3/4c)4/3d)3/5Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A car A is going north-east at 80 km/hr and another car B is going south-east at 60 km/hr. Then the direction of the velocity of A relative to B makes with the north an angle a such that tan a is -a)1/7b)3/4c)4/3d)3/5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car A is going north-east at 80 km/hr and another car B is going south-east at 60 km/hr. Then the direction of the velocity of A relative to B makes with the north an angle a such that tan a is -a)1/7b)3/4c)4/3d)3/5Correct answer is option 'A'. Can you explain this answer?.
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