CBSE Class 11-science Answered
A particle is located at 5i^ +6j^ + 7k^ at t=0.. After 5 seconds, it is located at 2i^+5j^ +5k^. The magnitude of displacement of the particle in XY plane is: ???
Asked by nutankumari95074 | 11 Jun, 2022, 17:24: PM
Displacement = Final position - Initial position
Displacement = ( 2
+ 5
+ 5
) - ( 5
+ 6
+ 7
) = ( -3
-
- 2
)
![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 k with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/a116bfa6de804b116d62ee7144453646.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 k with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/a116bfa6de804b116d62ee7144453646.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 k with hat on top end style](https://images.topperlearning.com/topper/tinymce/cache/a116bfa6de804b116d62ee7144453646.png)
Magnitude of total displacement = ![begin mathsize 14px style square root of 3 squared plus 1 squared plus 2 squared end root space equals space square root of 14 space u n i t s end style](https://images.topperlearning.com/topper/tinymce/cache/7add4834adf30e06395927c96c74168e.png)
![begin mathsize 14px style square root of 3 squared plus 1 squared plus 2 squared end root space equals space square root of 14 space u n i t s end style](https://images.topperlearning.com/topper/tinymce/cache/7add4834adf30e06395927c96c74168e.png)
Magnitude of displacement in x-y plane = ![begin mathsize 14px style square root of 3 squared plus 1 squared end root space equals space square root of 10 space u n i t s end style](https://images.topperlearning.com/topper/tinymce/cache/f96d2c4afec8d2acf2a57554567352d9.png)
![begin mathsize 14px style square root of 3 squared plus 1 squared end root space equals space square root of 10 space u n i t s end style](https://images.topperlearning.com/topper/tinymce/cache/f96d2c4afec8d2acf2a57554567352d9.png)
Answered by Thiyagarajan K | 11 Jun, 2022, 20:10: PM
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