CBSE
Gujarat Board
Haryana Board
Class 10
Class 12
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to
x^{2}
e^{x}
x
log_{e}x
A.
x^{2}
In this problem acceleration (a) is given in terms of displacement (x) to determine the velocity with respect to position or displacement we have to apply integration method.
From given information a =-kx, where a is acceleration, x is displacement and k is proportionality constant.
Let for any displacement from 0 to x , the velocity changes from v_{o} to v
In this problem acceleration (a) is given in terms of displacement (x) to determine the velocity with respect to position or displacement we have to apply integration method.
From given information a =-kx, where a is acceleration, x is displacement and k is proportionality constant.
Let for any displacement from 0 to x , the velocity changes from v_{o} to v