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Grade: 11

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

Answers : (2)

Aditya Gupta
2043 Points

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.
one year ago
Khimraj
3007 Points

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.
one year ago
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