As for the kinetic energy question...the answer was D i think...the parabola....heres why...
Since mass of the particle remains constant the ony variable affecting kinetic energy is velocity. Now, at the bottom of its cycle... the particle is moving upward with speed. Its speed then reaches a maximum at the halfway point. then it slowly begins to decelerate as it nears the top as the spring provides force opposing the motion. There..that seems about right....If anyone thinks im wrong go right ahead and point it out. << not meaning to sound arrogant or anything just wanting to encourage constructive criticism.
Cheers
I agree Energy Kinetic only varies on velocity.
Now, let's ignore energy for a minute.
Let us pretend, this is a projectile, with no horizontal velocity.
It has a launch velocity, which is it's maximum. Gravity acts upon it, slowing it down. It reaches a velocity of 0m/s at the top. [We all agree Energy kinetic must be 0 at the top]
Now, taking the spring into concideration.
The way I see it, is the spring energy is converted to kinetic energy.
As the ball goes higher, this kinetic energy goes into potential energy.
The spring doesn't start compressing until 40cm. The ball only rises up to 55cm, Hence no energy goes into compression. [I've got the diagram infront of me]