CBSE Class 11-science Answered
Velocity as a function of position for a particle is given as v = √x (ii) Find acceleration as function of time.?
Asked by harshbpathak2510 | 04 Jul, 2021, 15:46: PM
Velocity as function of position x is given as , V(x) = ![begin mathsize 14px style square root of x end style](https://images.topperlearning.com/topper/tinymce/cache/25f97faa4e1e9f28f8a3455160a7fa00.png)
![begin mathsize 14px style square root of x end style](https://images.topperlearning.com/topper/tinymce/cache/25f97faa4e1e9f28f8a3455160a7fa00.png)
Acceleration a as a funtion of time is given as,
a = ![begin mathsize 14px style fraction numerator d v over denominator d t space end fraction space equals space fraction numerator d v over denominator d x end fraction cross times fraction numerator d x over denominator d t end fraction space equals space v space fraction numerator d v over denominator d x end fraction space equals space square root of x space cross times space fraction numerator 1 over denominator 2 space square root of x end fraction space equals space 1 half end style](https://images.topperlearning.com/topper/tinymce/cache/59ae432d44ec5f11bd88b1a50e65fa62.png)
![begin mathsize 14px style fraction numerator d v over denominator d t space end fraction space equals space fraction numerator d v over denominator d x end fraction cross times fraction numerator d x over denominator d t end fraction space equals space v space fraction numerator d v over denominator d x end fraction space equals space square root of x space cross times space fraction numerator 1 over denominator 2 space square root of x end fraction space equals space 1 half end style](https://images.topperlearning.com/topper/tinymce/cache/59ae432d44ec5f11bd88b1a50e65fa62.png)
Acceleration a as a funtion of time is constant (1/2)
Answered by Thiyagarajan K | 04 Jul, 2021, 16:10: PM
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