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A particle at origin initially starts moving in +x direction according to relation v proportional to√x the displacement depends upon time as...

A particle at origin initially starts moving in +x direction according to relation v proportional to√x the displacement depends upon time as... 

Grade:11

2 Answers

Aditya Gupta
2081 Points
5 years ago
v proportional to root x
Or v=krootx
dx/dt= krootx
dx/rootx=k dt 
Integrate both sides
2rootx= kt+C, where C can be found out using unitiin conditions.
Khimraj
3007 Points
5 years ago
v = a √x
   x = 0 at t = 0
v =dx/dt = a√x
  dx/√x = a dt   
 2 √x = a t +  c
   x = 0 at t = 0  c = 0
 x = a²t²/4 
where a is constant.

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