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A particle is moving with uniform acceleration along a straight lineABC, where AB=BC. Theaverage velocity ofthe particle from A to B is 10 m/s and from B to C is 15 m/s. The average velocity for the whole journey from A to C in m/s is
  • a)
    12
  • b)
    12.5
  • c)
    13
  • d)
    13.5
Correct answer is option 'A'. Can you explain this answer?
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A particle is moving with uniform acceleration along a straight lineAB...

Average velocity of whole journey


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A particle is moving with uniform acceleration along a straight lineAB...
Explanation:

Given:
- Average velocity from A to B = 10 m/s
- Average velocity from B to C = 15 m/s

Concept:
- Average velocity is calculated as total displacement divided by total time taken.

Calculation:
- Let the distance AB = BC = x (since AB = BC)
- Let the time taken to travel from A to B = t1
- Let the time taken to travel from B to C = t2
- Total time taken to travel from A to C = t1 + t2
- Total displacement from A to C = 2x
- Average velocity from A to B = (Displacement AB) / (Time taken to travel from A to B)
- 10 = x / t1
- x = 10t1
- Average velocity from B to C = (Displacement BC) / (Time taken to travel from B to C)
- 15 = x / t2
- x = 15t2
- Since x = 10t1 = 15t2
- 10t1 = 15t2
- t1 = (3/2)t2
- Average velocity from A to C = (Total displacement from A to C) / (Total time taken from A to C)
- = (2x) / (t1 + t2)
- = (2 * 10t1) / (t1 + t2)
- = 20t1 / (t1 + t2)
- = 20t1 / (t1 + (2/3)t1)
- = 20 / (1 + 2/3)
- = 20 / (5/3)
- = 20 * 3 / 5
- = 12 m/s
Therefore, the average velocity for the whole journey from A to C is 12 m/s. So, the correct answer is option 'A'.
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A particle is moving with uniform acceleration along a straight lineABC, where AB=BC. Theaverage velocity ofthe particle from A to B is 10 m/s and from B to C is 15 m/s. The average velocity for the whole journey from A to C in m/s isa)12b)12.5c)13d)13.5Correct answer is option 'A'. Can you explain this answer?
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A particle is moving with uniform acceleration along a straight lineABC, where AB=BC. Theaverage velocity ofthe particle from A to B is 10 m/s and from B to C is 15 m/s. The average velocity for the whole journey from A to C in m/s isa)12b)12.5c)13d)13.5Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A particle is moving with uniform acceleration along a straight lineABC, where AB=BC. Theaverage velocity ofthe particle from A to B is 10 m/s and from B to C is 15 m/s. The average velocity for the whole journey from A to C in m/s isa)12b)12.5c)13d)13.5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is moving with uniform acceleration along a straight lineABC, where AB=BC. Theaverage velocity ofthe particle from A to B is 10 m/s and from B to C is 15 m/s. The average velocity for the whole journey from A to C in m/s isa)12b)12.5c)13d)13.5Correct answer is option 'A'. Can you explain this answer?.
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