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A boy runs on a straight road from his home to market 2 km away with speed of 4kmph. Finding the market closed, he runs back to his home with the speed of 6kmph. Calculate his average speed, magnitude of average velocity and average speed of time intervals 0to 30 min and 0 to 40 min?
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A boy runs on a straight road from his home to market 2 km away with s...
Calculating Average Speed and Magnitude of Average Velocity
Calculating Average Speed of Time Intervals
- The distance between the boy's home and the market is 2 km and he runs at a speed of 4 kmph. The time taken to reach the market is given by:
- Time = Distance / Speed = 2/4 = 0.5 hours
- Now the boy runs back to his home at a speed of 6 kmph. The time taken to reach back home is given by:
- Time = Distance / Speed = 2/6 = 1/3 hours
- The total distance covered by the boy is 4 km (2 km to market and 2 km back home). The total time taken is 0.5 + 1/3 = 0.8333 hours.
- Therefore, the average speed of the boy is given by:
- Average Speed = Total Distance / Total Time = 4 / 0.8333 = 4.8 kmph
- The magnitude of the average velocity is the total displacement divided by the total time taken. Since the boy returns to his home, his total displacement is zero. Hence, the magnitude of the average velocity is zero.
Calculating Average Speed of Time Intervals
- From the above calculation, we know that the boy takes 0.5 hours to reach the market and 1/3 hours to come back home. Hence, the total time taken is 0.8333 hours.
- The time interval from 0 to 30 minutes is 0.5 hours. During this time, the boy runs to the market. Hence, the distance covered is 2 km and the time taken is 0.5 hours.
- Average Speed = Distance / Time = 2 / 0.5 = 4 kmph
- The time interval from 0 to 40 minutes is 40/60 = 2/3 hours. During this time, the boy runs to the market and comes back home. Hence, the distance covered is 4 km and the time taken is 2/3 hours.
- Average Speed = Distance / Time = 4 / (2/3) = 6 kmph
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A boy runs on a straight road from his home to market 2 km away with speed of 4kmph. Finding the market closed, he runs back to his home with the speed of 6kmph. Calculate his average speed, magnitude of average velocity and average speed of time intervals 0to 30 min and 0 to 40 min?
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A boy runs on a straight road from his home to market 2 km away with speed of 4kmph. Finding the market closed, he runs back to his home with the speed of 6kmph. Calculate his average speed, magnitude of average velocity and average speed of time intervals 0to 30 min and 0 to 40 min? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A boy runs on a straight road from his home to market 2 km away with speed of 4kmph. Finding the market closed, he runs back to his home with the speed of 6kmph. Calculate his average speed, magnitude of average velocity and average speed of time intervals 0to 30 min and 0 to 40 min? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy runs on a straight road from his home to market 2 km away with speed of 4kmph. Finding the market closed, he runs back to his home with the speed of 6kmph. Calculate his average speed, magnitude of average velocity and average speed of time intervals 0to 30 min and 0 to 40 min?.
A boy runs on a straight road from his home to market 2 km away with speed of 4kmph. Finding the market closed, he runs back to his home with the speed of 6kmph. Calculate his average speed, magnitude of average velocity and average speed of time intervals 0to 30 min and 0 to 40 min? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A boy runs on a straight road from his home to market 2 km away with speed of 4kmph. Finding the market closed, he runs back to his home with the speed of 6kmph. Calculate his average speed, magnitude of average velocity and average speed of time intervals 0to 30 min and 0 to 40 min? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy runs on a straight road from his home to market 2 km away with speed of 4kmph. Finding the market closed, he runs back to his home with the speed of 6kmph. Calculate his average speed, magnitude of average velocity and average speed of time intervals 0to 30 min and 0 to 40 min?.
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A boy runs on a straight road from his home to market 2 km away with speed of 4kmph. Finding the market closed, he runs back to his home with the speed of 6kmph. Calculate his average speed, magnitude of average velocity and average speed of time intervals 0to 30 min and 0 to 40 min?, a detailed solution for A boy runs on a straight road from his home to market 2 km away with speed of 4kmph. Finding the market closed, he runs back to his home with the speed of 6kmph. Calculate his average speed, magnitude of average velocity and average speed of time intervals 0to 30 min and 0 to 40 min? has been provided alongside types of A boy runs on a straight road from his home to market 2 km away with speed of 4kmph. Finding the market closed, he runs back to his home with the speed of 6kmph. Calculate his average speed, magnitude of average velocity and average speed of time intervals 0to 30 min and 0 to 40 min? theory, EduRev gives you an
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