A particle is released from height S from the surface of the Earth. At a certain height, its kinetic energy is three times of its potential energy. The height from the surface of Earth and the speed of the particle at that instant are respectively
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The particle at rest is released from the height S. Let v be the velocity of body is when it falls through height 
under constant acceleration g,
When the particle is at height y above ground. Potential energy of particle of mass m,
As per given condition, at this position, kinetic energy, 
[using (i)]
… (ii)
Substituting the value of 
from (ii) into (i) we get,
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