# 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 ?

In the above diagram, the journey of the boy has been represented.

AC is the displacement.

And to find the value of the displacement $(AC)$ let us use Pythagoras theorem in $\vartriangle ABC$

$AC^2=AB^2+BC^2$

Or $AC^2=(9+3)^2+4^2$

Or $AC^2=12^2+4^2$

Or $AC^2=144+16$

Or $AC^2=160$

Or $AC=\sqrt{160}$

Or $AC=12.5\ km$

- Related Articles
- 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 ?
- A body travels a distance of $3\ km$ towards East, then $4\ km$ towards North and finally $9\ km$ towards East.(i) What is the total distance travelled ?(ii) What is the resultant displacement ?
- A man travels a distance of \( 1.5 \mathrm{~m} \) towards east, then \( 2.0 \mathrm{~m} \) in south and then \( 4.5 \mathrm{~m} \) towards east. Find the total distance travelled? Find the resultant displacement?
- Savitha walks \( \frac{2}{3} \mathrm{~km} \) from a place P towards east and then from there $\frac{12}{7}\ km$ towards west. Where will be she now?
- Rita goes 20 km towards east from a point A to the point B. From B, she moves 30 km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?"
- Satpal walks \( \frac{2}{3} \mathrm{~km} \) from a place P, towards east and then from there \( 1 \frac{5}{7} \) km towards west. Where will he be now from \( P ? \)
- Shweta goes \( 20 \mathrm{~km} \) towards the east from point \( A \) to point \( B \). From B she moves \( 40 \mathrm{~km} \) towards the west along the same road. If distance towards the east is represented by a positive integer, by which integer will you represent her final position from A.
- Rahul goes 75 km west from point A to reach point B then he moves 50 km east to reach point C. Find the distance between A and C.
- A train travels at a certain average speed for a distance of 54 km and then travels a distance of 63 km at an average speed of 6 km/h more than the first speed. If it takes 3 hours to complete the total journey, what is its first speed?
- A train travels at a certain average speed for a distance 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than the original speed, if it takes 3 hours to complete the total journey, what is its original average speed?
- A train travels at a certain average speed for a distance of $63\ km$ and then travels at a distance of $72\ km$ at an average speed of $6\ km/hr$ more than its original speed. It it takes $3\ hours$ to complete total journey, what is the original average speed ?
- Bus X travels a distance of 360 km in 5 hours whereas bus Y travels a distance of 476 km in 7 hours. Which bus travels faster ?
- A car moves with a speed of $40\ km/h$ for 15 minutes and then with a speed of $60\ km/h$ for the next 15 minutes. The total distance covered by the car is:$(i).\ 100\ km$$(ii).\ 25\ km$$(iii).\ 15\ km$$(iv).\ 10\ km$
- A bus travels a distance of 120 km with a speed of 40 km/h and returns with a speed of 30 km/h. Calculate the average speed for the entire journey.
- A bus travelled \( 56 \mathrm{~km} \) to the north of Delhi and then further travelled \( 110 \mathrm{~km} \) to the south from there. How far was the bus finally from Delhi?

##### Kickstart Your Career

Get certified by completing the course

Get Started