Question

A person stepped out of his house and started
walking. He moved 40 m due East, then 10 m due
South, then 20 m due East, then 20 m due South
and then he finally walked 6000 cm due West.
Now, in which direction and how much should he
move, so that his displacement is zero?
20 m due South
30 m due North
30 m due South
20 m due North​

Answer 1

Answer:

Explanation:

Distance :

Distance is the total path covered by the man.

Distance travelled by man=50m+40m+20m=110m

Displacement : 

Displacement is the shortest path between source [house] and destination [ field]= AB

See the figure :

Draw Perpendicular BE to AC.

BE=CD=40m

AE=AC-CE=50-20=30

NOW, DISPLACEMENT AB=√AE²+EB²

AB=√30²+40²=50m

Angle with horizontal is given by tanθ=30/40=3/4

θ=tan⁻¹[3/4] direction north  to east.

∴His displacement from his house to field is 50m , tan⁻¹[3/4] direction north  to east.

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