NEET Class neet Answered
A particle starts from the point of origin (10m 37° North of East ) and then turns 4m towards north then turns 5m 37° North of West! Where is the distance traveled and the displacement found by partical ??
Asked by surabhilakhara7299 | 24 May, 2021, 08:00: AM
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/3357e8f3207490f4d1c14e2858f8755560ab3e749987d3.74288959f1.png)
Graphical method.
Let us consider scale factor 1 cm = 5 m to draw the graph of displacement vectors.
We start from origin and draw vector OA of lenth 5 cm that makes angle 37o with x-axis .
Vector OA represents the displacement of 10 m in the direction 37o North of East .
Next draw a vector AB of length 2 cm starting from A in the direction of y-axis.
Vector OB represents the displacement of 4 m in North .
Next draw a vector BC of length 2.5 cm starting from B that makes angle 37o with -x axis.
Vector BC represents the displacement of 5 m in the direction 37o North of west.
Net displacement from graph = 6.8 cm that equals 13.6 m real displacement
Total distance = ( 10 + 4 + 5 ) = 19 m
-------------------------------------------------------------
Vector method by resolving components
![begin mathsize 14px style stack O A with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/8445bd6abcdd6b5bd798af36a301cb6b.png)
![begin mathsize 14px style i with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/a5a79159fc1a127cc872f245943c4834.png)
![begin mathsize 14px style j with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/ef647306fae7d3b52276fc8b581df5b6.png)
![begin mathsize 14px style stack A B with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/dd13d277c733f00d7fc32961362628af.png)
![begin mathsize 14px style j with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/ef647306fae7d3b52276fc8b581df5b6.png)
![begin mathsize 14px style stack B C with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/be76af885c9cf0eecaef878c8b8fb48b.png)
![begin mathsize 14px style i with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/a5a79159fc1a127cc872f245943c4834.png)
![begin mathsize 14px style j with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/ef647306fae7d3b52276fc8b581df5b6.png)
![begin mathsize 14px style stack O C with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/553fa98e4a2f15bb0102870cb4868795.png)
![begin mathsize 14px style stack O A with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/8445bd6abcdd6b5bd798af36a301cb6b.png)
![begin mathsize 14px style stack A B with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/dd13d277c733f00d7fc32961362628af.png)
![begin mathsize 14px style stack B C with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/be76af885c9cf0eecaef878c8b8fb48b.png)
![begin mathsize 14px style i with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/a5a79159fc1a127cc872f245943c4834.png)
![begin mathsize 14px style j with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/ef647306fae7d3b52276fc8b581df5b6.png)
![begin mathsize 14px style i with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/a5a79159fc1a127cc872f245943c4834.png)
![begin mathsize 14px style j with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/ef647306fae7d3b52276fc8b581df5b6.png)
|
| = ![begin mathsize 14px style square root of 4 squared plus 13 squared end root space equals space 13.6 space m end style](https://images.topperlearning.com/topper/tinymce/cache/fe8cd6c753fbbf56f31b88d735bf20b0.png)
![begin mathsize 14px style stack O C with rightwards arrow on top end style](https://images.topperlearning.com/topper/tinymce/cache/553fa98e4a2f15bb0102870cb4868795.png)
![begin mathsize 14px style square root of 4 squared plus 13 squared end root space equals space 13.6 space m end style](https://images.topperlearning.com/topper/tinymce/cache/fe8cd6c753fbbf56f31b88d735bf20b0.png)
Total distance = ( 10 + 4 + 5 ) = 19 m
Answered by Thiyagarajan K | 24 May, 2021, 11:43: AM
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