A partical moves 30m North , then 20m East and finally moves 30 root 2m South-West What is - Physics - Motion In A Plane

Question

A partical moves 30m North , then 20m East and finally moves 30
root 2m South-West What is his displacement from the original
position ?

Jyoti Pant · Accepted Answer

Solution: Resolving displacement $30 \sqrt{2}$ m south-west in two rectangular components,we have $30 \sqrt{2} \cos 45^{0} = 30 \sqrt{2} \times \frac{1}{\sqrt{2}} = 30 m t o w a r d s s o u t h 30 \sqrt{2} \sin 45^{0} = 30 \sqrt{2} \times \frac{1}{\sqrt{2}} = 30 m t o w a r d w e s t T h e r e s u l \tan t o f 30 m n o r t h w i l l n e u t r a l i s e t h e d i s p l a c e m e n t o f 30 m s o u t h H e n c e t h e e f f e c t i v e d i s p l a c e m e n t i s t h e r e s u l \tan t o f 30 m w e s t a n d 20 m e a s t = 10 m w e s t$

A partical moves 30m North , then 20m East and finally moves 30 root 2m South-West . What is his displacement from the original position ?