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PLSS ANSWER THIS QUESTION. A particle travels half of the distance of a straight journey with speed 6m/s .The remaining part of the distance is covered with speed 2m/s for half of the time of remaining journey and with speed 4m/s for the other half of time .The average speed of the particle is?
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Average Speed of Particle with Changing Velocities
Given information:
- Distance traveled in a straight journey = d
- Speed of the particle in the first half of the journey = 6 m/s
- Speed of the particle in the second half of the journey:
- For half the time = 2 m/s
- For the other half of the time = 4 m/s
To find: Average speed of the particle
Approach:
We know that average speed is defined as the total distance traveled divided by the total time taken.
We can find the total distance traveled by the particle and the total time taken by breaking down the journey into parts and then adding them up.
Calculation:
Let's assume the total time taken for the journey is t.
- Distance covered in the first half of the journey = d/2
- Distance covered in the second half of the journey = d/2
- Time taken to cover the first half of the journey = (d/2)/6 = d/12
- Time taken to cover the second half of the journey:
- For the first half of the remaining journey = (d/2)/2 = d/4
- For the second half of the remaining journey = (d/2)/4 = d/8
- Total time taken to cover the second half of the journey = d/4 + d/8 = 3d/8
- Total distance traveled = d
- Total time taken = d/12 + 3d/8 = 5d/24
Average speed = Total distance traveled / Total time taken
= d / (5d/24)
= 4.8 m/s
Therefore, the average speed of the particle is 4.8 m/s.
Explanation:
The particle travels half of the distance at a constant speed of 6 m/s, covering d/2 distance in d/12 time.
For the second half of the journey, the particle covers the remaining d/2 distance at changing velocities. It covers d/4 distance at a speed of 2 m/s for d/8 time and d/4 distance at a speed of 4 m/s for d/8 time. This means that the total time taken for the second half of the journey is 3d/8 time.
The total distance traveled by the particle is d, and the total time taken is the sum of the time taken in the first half (d/12) and the time taken in the second half (3d/8), which is 5d/24 time.
Finally, we can calculate the average speed by dividing the total distance traveled by the total time taken, which gives us an average speed of 4.8 m/s.
Given information:
- Distance traveled in a straight journey = d
- Speed of the particle in the first half of the journey = 6 m/s
- Speed of the particle in the second half of the journey:
- For half the time = 2 m/s
- For the other half of the time = 4 m/s
To find: Average speed of the particle
Approach:
We know that average speed is defined as the total distance traveled divided by the total time taken.
We can find the total distance traveled by the particle and the total time taken by breaking down the journey into parts and then adding them up.
Calculation:
Let's assume the total time taken for the journey is t.
- Distance covered in the first half of the journey = d/2
- Distance covered in the second half of the journey = d/2
- Time taken to cover the first half of the journey = (d/2)/6 = d/12
- Time taken to cover the second half of the journey:
- For the first half of the remaining journey = (d/2)/2 = d/4
- For the second half of the remaining journey = (d/2)/4 = d/8
- Total time taken to cover the second half of the journey = d/4 + d/8 = 3d/8
- Total distance traveled = d
- Total time taken = d/12 + 3d/8 = 5d/24
Average speed = Total distance traveled / Total time taken
= d / (5d/24)
= 4.8 m/s
Therefore, the average speed of the particle is 4.8 m/s.
Explanation:
The particle travels half of the distance at a constant speed of 6 m/s, covering d/2 distance in d/12 time.
For the second half of the journey, the particle covers the remaining d/2 distance at changing velocities. It covers d/4 distance at a speed of 2 m/s for d/8 time and d/4 distance at a speed of 4 m/s for d/8 time. This means that the total time taken for the second half of the journey is 3d/8 time.
The total distance traveled by the particle is d, and the total time taken is the sum of the time taken in the first half (d/12) and the time taken in the second half (3d/8), which is 5d/24 time.
Finally, we can calculate the average speed by dividing the total distance traveled by the total time taken, which gives us an average speed of 4.8 m/s.
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PLSS ANSWER THIS QUESTION. A particle travels half of the distance of a straight journey with speed 6m/s .The remaining part of the distance is covered with speed 2m/s for half of the time of remaining journey and with speed 4m/s for the other half of time .The average speed of the particle is?
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PLSS ANSWER THIS QUESTION. A particle travels half of the distance of a straight journey with speed 6m/s .The remaining part of the distance is covered with speed 2m/s for half of the time of remaining journey and with speed 4m/s for the other half of time .The average speed of the particle is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about PLSS ANSWER THIS QUESTION. A particle travels half of the distance of a straight journey with speed 6m/s .The remaining part of the distance is covered with speed 2m/s for half of the time of remaining journey and with speed 4m/s for the other half of time .The average speed of the particle is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for PLSS ANSWER THIS QUESTION. A particle travels half of the distance of a straight journey with speed 6m/s .The remaining part of the distance is covered with speed 2m/s for half of the time of remaining journey and with speed 4m/s for the other half of time .The average speed of the particle is?.
PLSS ANSWER THIS QUESTION. A particle travels half of the distance of a straight journey with speed 6m/s .The remaining part of the distance is covered with speed 2m/s for half of the time of remaining journey and with speed 4m/s for the other half of time .The average speed of the particle is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about PLSS ANSWER THIS QUESTION. A particle travels half of the distance of a straight journey with speed 6m/s .The remaining part of the distance is covered with speed 2m/s for half of the time of remaining journey and with speed 4m/s for the other half of time .The average speed of the particle is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for PLSS ANSWER THIS QUESTION. A particle travels half of the distance of a straight journey with speed 6m/s .The remaining part of the distance is covered with speed 2m/s for half of the time of remaining journey and with speed 4m/s for the other half of time .The average speed of the particle is?.
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