Advertisements
Advertisements
Question
A body travels a distance of 3 km towards East, then 4 km towards North and finally 9 km towards East.
What is the resultant displacement ?
Advertisements
Solution
The body travels a total distance of 12 km east, which means towards the x-axis, on a Cartesian plane. It travels a distance of 4 km in north direction, which means towards y-axis.
Resultant displacement :
`sqrt(12^2+4^2)`
= `sqrt(144 + 16)`
= `sqrt(160)`
= 12.65 km
APPEARS IN
RELATED QUESTIONS
Fill in the following blank with suitable word :
Displacement is a…………………… quantity whereas distance is a………………………….
An ant travels a distance of 8 cm from P to Q and then moves a distance of 6 cm at right angles to PQ. Find its resultant displacement.
A body travels a distance of 3 km towards East, then 4 km towards North and finally 9 km towards East.
What is the total distance travelled ?
Copy the following table and fill in the blank spaces.
| Quantity | S.I. Unit | Scalar or Vector |
| Displacement | ___________ | ___________ |
Draw displacement – time graph for the following situation:
When a body is moving with variable velocity.
A body is moving along a circular path of radius r. What will be the distance and displacement of the body when it completes:
`(3/4)` th of a revolution
A body is moving along a circular path of radius r. What will be the distance and displacement of the body when it completes:
Full revolution
Match the following.
| 1. | Displacement | Knot |
| 2. | Light travelling through vacuum | Geometric centre |
| 3. | Speed of ship | Metre |
| 4. | Centre of gravity of geometrical shaped objects | Larger base area |
| 5. | Stability | Uniform velocity |
Give some examples for vector quantity.
Displacement is the ______ distance covered by a body.
