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A particle is located at x = 0 at time T = 0 starts moving along the positive X direction with a velocity V that varies as v = a√x. The displacement of particle varies with time as

A particle is located at x = 0 at time T = 0 starts moving along the positive X direction with a velocity V that varies as v = a√x. The displacement of particle varies with time as

Grade:11

1 Answers

Arun
25750 Points
6 years ago
v=a√x 

dx/dt = a√x 
dx/√x = a dt 

integrate from 0 to.. 

2√x = at 
4x = a^2 t^2 
Hence
x is proprtional to t^2

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