Respuesta :
Answer:
Distance: 9 km
Displacement: 6,7 km
Explanation:
There are many people who believe that there is no difference between distance and displacement. The different between distance and displacement is that distance is the length of the journey taken to get there, displacement is a measurement of the space between two points.
In this case, distance would be equal to:
5 km + 3 km + 1 km= 9 km
However, displacement can be calculated using triangles:
3 km east total
6 km north total
using the formula:
r² = x² + y²
r² = (6)² + (3)²
r = 6,7 km
The distance is a scalar quantity and displacement is a vector quantity which is the shortest distance between the initial and final position. The distance covered by the Tara will be 9 km, while the displacement will be 6.71 km.
Distance is defined as the distance covered only it is not concerned with any direction while the displacement is known as the shortest distance covered between the two points.
How to find the distance and displacement with the help of direction?
Distance traveled by her will be,
[tex]5+3+1=9[/tex] km
Displacement is defined using the vector.
Dispacement in the north direction is (5j+j=6j)
Displacement in the east direction is (3i )
The resultant displacement of Tara can be calculated as,
[tex]d=\sqrt{y^2+x^2}\\d=\sqrt{6^{2} +3^{2} }\\d=6.71[/tex]
Therefore, the displacement of Tara is 6.71 km.
Learn more about the distance and displacement here:
https://brainly.com/question/4307551
