Question

A car is moving 40 m due east ,turns towards north moves 30 m,then turns 45 degrees east of north moves 20root2.The net displacement of car is


Answer this question with explanation

Answer 1

Displacement refers to shortest distance and in first 2 case shortest distance becomes hypotenuse and the third distance is in same direction thus they are additive
Displacement =50+20root2 m

Answer 2

The net displacement required is AD

BF = CE = 20 root2 Cos 45 = 20m



AF = 40 + 20 = 60m



ED = 20 root2 Sin45 = 20m



DF = DE + EF = 20 + 30 = 50m

 

Using triangle ADF and Pythagora’s Theorem

 

AD = root AF 2 + DF2

 

     = root 60^2 + 50^2

 

    = 78.10m

 

Tan DAF = 50/60 = 5/6

 

< DAF = 40 Degrees

 

90 – 40 = 50 degrees