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Journey to a picnic spot:
2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.
What was the relative velocity of A relative to B?
- a)10 km/h
- b)– 10 km/h
- c)55 km/h
- d)– 55 km/h
Correct answer is option 'A'. Can you explain this answer?
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Journey to a picnic spot:2 friends started for a picnic spot, in two ...
The velocity of A relative to B is
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VA – VB = 60 – 50 = 10 km/h
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Journey to a picnic spot:2 friends started for a picnic spot, in two ...
Given Information:
- A drove his car at a constant velocity 60 km/h.
- B drove his car at a constant velocity 50 km/h.
- A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.
To find: Relative velocity of A relative to B.
Solution:
Let's assume the distance between the starting point and the picnic spot as 'd' km.
Velocity = distance/time
Using the above formula, we can find the distance travelled by A and B as follows:
- Distance travelled by A = 60 x 2 = 120 km (as A reached picnic point in 2 hours)
- Distance travelled by B = 50 x (2 + 24/60) = 120 km (as B reached picnic point in 2 hours 24 minutes)
Relative velocity of A relative to B can be found by using the formula:
Relative velocity = VB – VA
where VA = velocity of A and VB = velocity of B
- VB = 50 km/h (as given in the question)
- VA = d/2 (as A travelled for 2 hours only)
As we assume that B is at rest and A is moving, relative velocity of A relative to B can be found by subtracting VA from VB.
Relative velocity of A relative to B = VB - VA
= 50 - (d/2)
Given A and B reached picnic spot in the same direction, it means both travelled the same distance. Therefore, d = 120km.
Substituting the value of d, we get:
Relative velocity of A relative to B = 50 - (120/2)
= 50 - 60
= -10 km/h
Therefore, the relative velocity of A relative to B is -10 km/h (option B).
Hence, option A is incorrect and the correct answer is option B.
- A drove his car at a constant velocity 60 km/h.
- B drove his car at a constant velocity 50 km/h.
- A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.
To find: Relative velocity of A relative to B.
Solution:
Let's assume the distance between the starting point and the picnic spot as 'd' km.
Velocity = distance/time
Using the above formula, we can find the distance travelled by A and B as follows:
- Distance travelled by A = 60 x 2 = 120 km (as A reached picnic point in 2 hours)
- Distance travelled by B = 50 x (2 + 24/60) = 120 km (as B reached picnic point in 2 hours 24 minutes)
Relative velocity of A relative to B can be found by using the formula:
Relative velocity = VB – VA
where VA = velocity of A and VB = velocity of B
- VB = 50 km/h (as given in the question)
- VA = d/2 (as A travelled for 2 hours only)
As we assume that B is at rest and A is moving, relative velocity of A relative to B can be found by subtracting VA from VB.
Relative velocity of A relative to B = VB - VA
= 50 - (d/2)
Given A and B reached picnic spot in the same direction, it means both travelled the same distance. Therefore, d = 120km.
Substituting the value of d, we get:
Relative velocity of A relative to B = 50 - (120/2)
= 50 - 60
= -10 km/h
Therefore, the relative velocity of A relative to B is -10 km/h (option B).
Hence, option A is incorrect and the correct answer is option B.
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Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What was the relative velocity of A relative to B?a)10 km/hb)– 10 km/hc)55 km/hd)– 55 km/hCorrect answer is option 'A'. Can you explain this answer?
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Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What was the relative velocity of A relative to B?a)10 km/hb)– 10 km/hc)55 km/hd)– 55 km/hCorrect 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 Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What was the relative velocity of A relative to B?a)10 km/hb)– 10 km/hc)55 km/hd)– 55 km/hCorrect 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 Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What was the relative velocity of A relative to B?a)10 km/hb)– 10 km/hc)55 km/hd)– 55 km/hCorrect answer is option 'A'. Can you explain this answer?.
Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What was the relative velocity of A relative to B?a)10 km/hb)– 10 km/hc)55 km/hd)– 55 km/hCorrect 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 Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What was the relative velocity of A relative to B?a)10 km/hb)– 10 km/hc)55 km/hd)– 55 km/hCorrect 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 Journey to a picnic spot:2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.What was the relative velocity of A relative to B?a)10 km/hb)– 10 km/hc)55 km/hd)– 55 km/hCorrect answer is option 'A'. Can you explain this answer?.
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