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Two car A and B moves at 54 Km/hr in the same direction and the car B is 300 m ahead of car A. If the car A is accelerated at 6 m/s2 while car B continue to move with the same velocity, calculate the time taken by car A to overtake car B:
- a)10 s
- b)20 s
- c)15 s
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two car A and B moves at 54 Km/hr in the same direction and the car B ...
uA = uB = 54 Km/hr = 15 m/s; aA = 6 m/s2, aB = 0
Car B is 300 m ahead of car A.
Let both move in time t sec.
Distance travelled by A in time t = 300 + Distance travelled by B in time t
Most Upvoted Answer
Two car A and B moves at 54 Km/hr in the same direction and the car B ...
To solve this problem, we can start by analyzing the motion of the two cars.
Given:
- Car A and Car B are moving in the same direction.
- Car A is initially behind Car B, with a separation distance of 300 meters.
- The velocity of both cars is 54 km/hr.
- Car A is accelerated at a rate of 6 m/s^2.
- Car B continues to move with the same velocity.
We need to find the time taken by Car A to overtake Car B.
Let's break down the problem into steps:
Step 1: Convert the velocity of both cars from km/hr to m/s.
- Velocity of both cars = 54 km/hr = (54 * 1000) / (60 * 60) m/s = 15 m/s
Step 2: Find the relative velocity of Car A with respect to Car B.
- Relative velocity = Velocity of Car A - Velocity of Car B
- Relative velocity = 15 m/s - 15 m/s = 0 m/s
Step 3: Find the time taken by Car A to cover the initial separation distance of 300 meters.
- We can use the equation of motion: s = ut + (1/2)at^2
- Initial velocity of Car A, u = 0 (as Car A starts from rest)
- Acceleration of Car A, a = 6 m/s^2
- Separation distance, s = 300 m
- Time taken, t = ?
Plugging in the values:
300 = 0*t + (1/2)*6*t^2
300 = 3t^2
t^2 = 300/3
t^2 = 100
t = sqrt(100)
t = 10 s
Therefore, Car A will take 10 seconds to cover the initial separation distance of 300 meters.
Step 4: Find the total time taken by Car A to overtake Car B.
- Since the relative velocity is 0 m/s, Car A needs to cover the initial separation distance first and then match the velocity of Car B.
- The time taken to cover the initial separation distance is 10 seconds.
- After that, Car A needs to match the velocity of Car B, which is already moving at 15 m/s.
- So, Car A will take an additional 0 seconds to match the velocity of Car B.
Hence, the total time taken by Car A to overtake Car B is 10 seconds.
Therefore, the correct answer is option 'A' - 10 s.
Given:
- Car A and Car B are moving in the same direction.
- Car A is initially behind Car B, with a separation distance of 300 meters.
- The velocity of both cars is 54 km/hr.
- Car A is accelerated at a rate of 6 m/s^2.
- Car B continues to move with the same velocity.
We need to find the time taken by Car A to overtake Car B.
Let's break down the problem into steps:
Step 1: Convert the velocity of both cars from km/hr to m/s.
- Velocity of both cars = 54 km/hr = (54 * 1000) / (60 * 60) m/s = 15 m/s
Step 2: Find the relative velocity of Car A with respect to Car B.
- Relative velocity = Velocity of Car A - Velocity of Car B
- Relative velocity = 15 m/s - 15 m/s = 0 m/s
Step 3: Find the time taken by Car A to cover the initial separation distance of 300 meters.
- We can use the equation of motion: s = ut + (1/2)at^2
- Initial velocity of Car A, u = 0 (as Car A starts from rest)
- Acceleration of Car A, a = 6 m/s^2
- Separation distance, s = 300 m
- Time taken, t = ?
Plugging in the values:
300 = 0*t + (1/2)*6*t^2
300 = 3t^2
t^2 = 300/3
t^2 = 100
t = sqrt(100)
t = 10 s
Therefore, Car A will take 10 seconds to cover the initial separation distance of 300 meters.
Step 4: Find the total time taken by Car A to overtake Car B.
- Since the relative velocity is 0 m/s, Car A needs to cover the initial separation distance first and then match the velocity of Car B.
- The time taken to cover the initial separation distance is 10 seconds.
- After that, Car A needs to match the velocity of Car B, which is already moving at 15 m/s.
- So, Car A will take an additional 0 seconds to match the velocity of Car B.
Hence, the total time taken by Car A to overtake Car B is 10 seconds.
Therefore, the correct answer is option 'A' - 10 s.
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Two car A and B moves at 54 Km/hr in the same direction and the car B is 300 m ahead of car A. If the car A is accelerated at 6 m/s2while car B continue to move with the same velocity, calculate the time taken by car A to overtake car B:a)10 sb)20 sc)15 sd)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Two car A and B moves at 54 Km/hr in the same direction and the car B is 300 m ahead of car A. If the car A is accelerated at 6 m/s2while car B continue to move with the same velocity, calculate the time taken by car A to overtake car B:a)10 sb)20 sc)15 sd)None of theseCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Two car A and B moves at 54 Km/hr in the same direction and the car B is 300 m ahead of car A. If the car A is accelerated at 6 m/s2while car B continue to move with the same velocity, calculate the time taken by car A to overtake car B:a)10 sb)20 sc)15 sd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two car A and B moves at 54 Km/hr in the same direction and the car B is 300 m ahead of car A. If the car A is accelerated at 6 m/s2while car B continue to move with the same velocity, calculate the time taken by car A to overtake car B:a)10 sb)20 sc)15 sd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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Two car A and B moves at 54 Km/hr in the same direction and the car B is 300 m ahead of car A. If the car A is accelerated at 6 m/s2while car B continue to move with the same velocity, calculate the time taken by car A to overtake car B:a)10 sb)20 sc)15 sd)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Two car A and B moves at 54 Km/hr in the same direction and the car B is 300 m ahead of car A. If the car A is accelerated at 6 m/s2while car B continue to move with the same velocity, calculate the time taken by car A to overtake car B:a)10 sb)20 sc)15 sd)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Two car A and B moves at 54 Km/hr in the same direction and the car B is 300 m ahead of car A. If the car A is accelerated at 6 m/s2while car B continue to move with the same velocity, calculate the time taken by car A to overtake car B:a)10 sb)20 sc)15 sd)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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