Question

A clown walks $5.00$ meters ${45}^o$ north of west, and then walks $5.00$ meters directly east.
Compared to where he started, how far away is he after the two displacements?

• A. $0.00m$
• B. $1.46m$
• C. $3.54m$
• D. $3.83m$
• E. None of the above

Answer 1

The correct option is D $3.83m$

Net displacement towards east of the clown=$x=5-5cos{45}^{\circ }$

$=5(1-\frac{1}{\sqrt{2}})$

Net displacement towards north of the clown=$y=5sin{45}^{\circ }=\frac{5}{\sqrt{2}}$

Hence net displacement of the clown from the starting point=$\sqrt{x^2+y^2}$

$=3.83m$