Question

Preston goes on a camel safari in Africa. They he travels 5 km north, then 3 km east and then 1 km north again. What distance did he cover? What was his displacement?

Answer 1

Answer:

Total distance covered = 5+3+1 = 9

and total displacement = shortest distance from the mean position = 6^2 + 3^2 =x^2

36+ 9

=45

x= root under 45

6.7082....

Explanation:

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Answer 2

Given:

Preston goes on a camel safari in Africa. They he travels 5 km north, then 3 km east and then 1 km north again.

To find:

• Distance
• Displacement

Calculation:

• Distance is total path length.

So, distance = 5 + 3 + 1 = 9 km.

• Displacement is the shortest length between starting and stopping point of the object.

So, displacement will be :

$\vec{d} = 5 \hat{j} + 3 \hat{i} + 1 \hat{j}$

$\implies \vec{d} = 6 \hat{j} + 3 \hat{i}$

$\implies | \vec{d}| = \sqrt{ {6}^{2} + {3}^{2} }$

$\implies | \vec{d}| = \sqrt{ 36 + 9 }$

$\implies | \vec{d}| = \sqrt{45}$

$\implies | \vec{d}| =3 \sqrt{5} \: km$

So, distance is 9 km , displacement is 3√5 km.