First slide

Position Path Length (Distance) And Displacement

Question

A person walks first 10 km north and then 20 km east, then the resultant displacement vector is

Easy

A

22.36 km
B

22.46 km
C

25.23 km
D

20 .36 km

Solution

See figure.
$\begin{array}{l} | R | = \sqrt{P^{2} + Q^{2} + 2 PQcos θ} \\ = \sqrt{(P^{2} + Q^{2})} (∵ θ = 90^{\circ}) \\ = \sqrt{(10)^{2} + (20)^{2}} = 22 \cdot 36 km \end{array}$

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