The acceleration of a body moving along x axis depends on time as a ^ 1/2 directly proportional to t. The velocity of body is proportional to time T as ( initially particle is at rest) 

Asked by arushidabhade | 8th Jul, 2019, 08:33: PM

Expert Answer:

 let k be a constant.

begin mathsize 12px style a c c e l e r a t i o n space space a space space equals space fraction numerator d v over denominator d t end fraction space equals space k cross times t to the power of 1 divided by 2 end exponent
H e n c e space space space d v space equals space k cross times t to the power of 1 divided by 2 end exponent space d t
integral subscript 0 superscript V d v space equals space integral subscript 0 superscript T k cross times t to the power of 1 divided by 2 end exponent space d t space
V space equals space k cross times 2 over 3 T to the power of 3 divided by 2 end exponent end style

Answered by Thiyagarajan K | 8th Jul, 2019, 11:14: PM

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