The potential energy of a … … particle free to move along the …-axis is given by …. The total mechanical energy of the particle is … Then, the maximum speed (in …) is

Option A. Velocity is maximum when kinetic energy is maximum and when kinetic energy is maximum then potential energy should be minimum

Work Power and Energy

JEE Main 2006 · Annual, Paper 1 · Q8569

PhysicsMedium70×since 2002Q8569

The potential energy of a

1

kg

particle free to move along the

x

-axis is given by

V\left( x \right) = \left( {{{{x^4}} \over 4} - {{{x^2}} \over 2}} \right)J

. The total mechanical energy of the particle is

2J.

Then, the maximum speed (in

m/s

) is