Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
What information about the motion of a body are obtained from the displacement-time graph?
State how the velocity-time graph can be used to find The displacement of the body in a given time.
Draw a velocity-time graph for a body moving with an initial velocity u and uniform acceleration a. Use this graph to find the distance travelled by the body in time t.
Figure given below shows a velocity-time graph for a car starting from rest. The graph has three parts AB, BC and CD.
Compare the distance travelled in part BC with the distance travelled in part AB.
A ball moves on a smooth floor in a straight line with uniform velocity 10 m s-1 for 6 s. At t = 6 s, the ball hits a wall and comes back along the same line to the starting point with the same speed. Draw the velocity-time graph and use it to find the total distance travelled by the ball and its displacement.
A car covers 90 km in `1 1/2` hours towards east. Calculate
- displacement of car,
- its velocity in (a) kmh−1 (b) ms−1.
Can you suggest the kind of motion of a body from the following distance – time graph?
From the displacement – time graph shown given below calculate :
- Velocity between 0 – 2 s.
- Velocity between 8 s – 12 s.
- Average velocity between 5 s – 12 s.
Write two differences between distance and displacement.
Write a note on the following:
knot
