Advertisements
Advertisements
प्रश्न
A farmer moves along the boundary of a square field of side 10 m in 40 s. What will be the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds?
Advertisements
उत्तर
Given side of square field = 10m
Then the perimeter of that square field = 4 × 10
= 40m
Total time = 2 minute 20 sec
= (2 × 60 + 20)
= 140 sec
Hence, the distance covered in going around the square field = perimeter of the field
Total distance covered in 40 sec = 40m
Total distance covered in 140 sec = `(40/40) xx140` m
= 140 m
This number of rounds = `140/40`
= 3.5
In 140 sec, that farmer will take 3.5 rounds.
Displacement = Diagonal of square = `(102+102) 1/2`
= `(200)1/2`
= `10sqrt2` m
Hence, magnitude of displacement = `10sqrt2` m
APPEARS IN
संबंधित प्रश्न
A boy walks from his classroom to the bookshop along a straight corridor towards North. He covers a distance of 20 m in 25 seconds to reach the bookshop. After buying a book, he travels the same distance in the same time to reach back in the classroom. Find (a) average speed, and (b) average velocity, of the boy.
When is the magnitude of displacement equal to the distance?
What can you say about the nature of motion of a body if its displacement-time graph is A straight line inclined to the time axis with an acute angle?
Write the SI units for measurement of distance and displacement.
Ashok starts from his house and travels 3 km to reach his school. On finding the school gates closed, he returns to his house. What is?
The distance traveled by Ashok.
The table below shows the distance travelled by two vehicles A and B during each second:
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Distance travelled by A (m) | 0 | 20 | 80 | 180 | 240 | 300 | 360 | 420 |
| Distance travelled by B (m) | 0 | 10 | 40 | 90 | 160 | 250 | 360 | 490 |
Which vehicle is ahead at the end of 7th second and by how much?
Which of the following figures represent uniform motion of a moving object correctly?
Exercise Problems.
An athlete completes one round of a circular track of diameter 200 m in 40 s. What will be the distance covered and the displacement at the end of 2 m and 20 s?
A particle is moving in a circular pattern of radius r. The displacement after half a circle would be ______.
If the displacement-time graph of a particle is parallel to the time axis, the velocity of the particle is ______.
