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If a car is moving from point A to point B with first half of the distance with speed of 10m/s next half with a constant speed of 15m/s . Then find the ratio of average speed to the average velocity of the car?
A. 0
B. Infinity
C. 12.5
D. 12?
A. 0
B. Infinity
C. 12.5
D. 12?
Most Upvoted Answer
If a car is moving from point A to point B with first half of the dist...
Solution:
Given:
Speed of first half = 10 m/s
Speed of second half = 15 m/s
To find:
Ratio of average speed to the average velocity of the car
Formula:
Average speed = Total distance/Total time
Average velocity = Total displacement/Total time
Approach:
Let us assume that the total distance from A to B is 2d.
Then,
Distance covered in the first half of the journey, d = (1/2) * 2d = d
Distance covered in the second half of the journey, d = (1/2) * 2d = d
Total distance covered, 2d = d + d = 2d
Time taken to cover the first half, t1 = d/10
Time taken to cover the second half, t2 = d/15
Total time taken, t = t1 + t2
= d/10 + d/15
= (3d + 2d)/30
= 5d/30
= d/6
Total displacement, Δx = 2d
Average speed,
vavg = Total distance/Total time
= 2d/(d/6)
= 12 m/s
Average velocity,
v¯= Total displacement/Total time
= (2d)/(d/6)
= 12 m/s
Therefore, the ratio of average speed to the average velocity of the car is 1:1.
Hence, the correct option is (A) 0.
Given:
Speed of first half = 10 m/s
Speed of second half = 15 m/s
To find:
Ratio of average speed to the average velocity of the car
Formula:
Average speed = Total distance/Total time
Average velocity = Total displacement/Total time
Approach:
Let us assume that the total distance from A to B is 2d.
Then,
Distance covered in the first half of the journey, d = (1/2) * 2d = d
Distance covered in the second half of the journey, d = (1/2) * 2d = d
Total distance covered, 2d = d + d = 2d
Time taken to cover the first half, t1 = d/10
Time taken to cover the second half, t2 = d/15
Total time taken, t = t1 + t2
= d/10 + d/15
= (3d + 2d)/30
= 5d/30
= d/6
Total displacement, Δx = 2d
Average speed,
vavg = Total distance/Total time
= 2d/(d/6)
= 12 m/s
Average velocity,
v¯= Total displacement/Total time
= (2d)/(d/6)
= 12 m/s
Therefore, the ratio of average speed to the average velocity of the car is 1:1.
Hence, the correct option is (A) 0.
Community Answer
If a car is moving from point A to point B with first half of the dist...
When this type of qs mentioned using this formula av. speed (velocity)= 2V1V2/V1+V2. av. velocity=2×10×15/10+15 , after solving it average velocity is 12m/sec
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If a car is moving from point A to point B with first half of the distance with speed of 10m/s next half with a constant speed of 15m/s . Then find the ratio of average speed to the average velocity of the car?A. 0B. InfinityC. 12.5D. 12?
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If a car is moving from point A to point B with first half of the distance with speed of 10m/s next half with a constant speed of 15m/s . Then find the ratio of average speed to the average velocity of the car?A. 0B. InfinityC. 12.5D. 12? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If a car is moving from point A to point B with first half of the distance with speed of 10m/s next half with a constant speed of 15m/s . Then find the ratio of average speed to the average velocity of the car?A. 0B. InfinityC. 12.5D. 12? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a car is moving from point A to point B with first half of the distance with speed of 10m/s next half with a constant speed of 15m/s . Then find the ratio of average speed to the average velocity of the car?A. 0B. InfinityC. 12.5D. 12?.
If a car is moving from point A to point B with first half of the distance with speed of 10m/s next half with a constant speed of 15m/s . Then find the ratio of average speed to the average velocity of the car?A. 0B. InfinityC. 12.5D. 12? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If a car is moving from point A to point B with first half of the distance with speed of 10m/s next half with a constant speed of 15m/s . Then find the ratio of average speed to the average velocity of the car?A. 0B. InfinityC. 12.5D. 12? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a car is moving from point A to point B with first half of the distance with speed of 10m/s next half with a constant speed of 15m/s . Then find the ratio of average speed to the average velocity of the car?A. 0B. InfinityC. 12.5D. 12?.
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