Solve this: 9 A particle moves along a path ABCD as shown in the figure Then the - Maths - Vector Algebra

Question

Solve this:

9 A particle moves along a path ABCD as shown in the figure Then
the magnitude of net displacement of the particle from position A
to D is :

1   10   m            
  2   5 2   m          
  3   9   m          
      4   7 2 m

Neha Sethi · Accepted Answer

Dear student
9
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_59b7b09e06199%20png"
style="width: 267px; height: 178px;">
Construction: Extend AB to F  and join DF such that  BC=EF=CE=BF=4m
Now in △CEDby pythagoras theoremCD2=DE2+CE2⇒52=DE2+42DE=3 mSo, DF=DE+EF=3m+4m=7mand AF=AB+BF=3m+4m=7mSo displacement=AF2+FD2=72+72=49+49=98=72m
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Solve this: 9. A particle moves along a path ABCD as shown in the figure. Then the magnitude of net displacement of the particle from position A to D is : 1 10 m 2 5 2 m 3 9 m 4 7 2 m

Solve this:

9. A particle moves along a path ABCD as shown in the figure. Then the magnitude of net displacement of the particle from position A to D is :

$(1) 10 m (2) 5 \sqrt{2} m (3) 9 m (4) 7 \sqrt{2} m$