Show graphically the variation of potential energy of an object thrown vertically upwards w.r.t. its height.

Draw a graph showing the variation of potential energy of an object thrown vertically upward by a boy with respect to its height.

When a ball is thrown vertically upwards, at the maximum height

In simple harmonic motion, force is directly proportional to the displacement for the mean position. Show graphically the variation of kinetic energy and potential energy of a harmonic oscillator.

In the figure the variation of potential energy of a particle of mass m = 2kg is represented w.r.t. its x-coordinate. The particle moves under the effect of this conservative force along the x-axis. If the particle is released at the origin then

An object of mass m is thrown vertically upwards. At what rate will its momentum change?

What is the maximum height of a stone thrown vertically upwards if its velocity is halved in 2 second ?

What will be the instaneous acceleration of an object thrown upward, when it reaches maximum height?

Derive an expression for the total energy of a particle executing simple harmonic motion. Also, show graphically the variation of potential and kinetic energies with time in S.H.M.