A person moves 30 m north and then 20 m towards east and finally 4 m/s 2 south-west direction. The displacement of the person from the origin will be

Question

A person moves 30 m north and then 20 m towards east and finally 4 m/s 2 south-west direction. The displacement of the person from the origin will be (A) 10 m along north (B) 10 m along south (C) 10 m along west (D) zero

Tardigrade Admin · Accepted Answer

Taking the starting point as O, we have 30 m north OA, 20 m east AB, and finally 30 √2 m(S-E) BD. From Δ C AB, AC=20 m, O C= 10 m ln Δ OCD, OD=OC, OD=10 m Hence, final displacement from origin is 10 m.

Q. A person moves $30 m$ north and then $20 m$ towards east and finally $4 m / s^{2}$ south-west direction. The displacement of the person from the origin will be

10 m along north

10 m along south

10 m along west

zero

Taking the starting point as $O$ ,
we have $30 m$ north $O A, 20 m$ east $A B$ ,
and finally $302 m (S - E) B D$ .
From $Δ C A B, A C = 20 m, O C = 10 m$
ln $Δ OC D, O D = OC, O D = 10 m$
Hence, final displacement from origin is $10 m$ .

Q. A person moves 30m north and then 20m towards east and finally 4m/s2 south-west direction. The displacement of the person from the origin will be