Horizontal pinball

A ball of mass $$2 \text{kg}$$ is placed in front of a spring having a constant of $$20 \text{N/m}$$ and compression $$20 \text{m}$$ at a height of $$100 \text{m}$$ above the ground. Now, the spring is released, giving the ball a horizontal velocity. Find the total displacement (in metres) of the ball when it hits the ground.

Details and assumptions

• Assume that the ball does not rebound after hitting the ground first.
• Assume that the air friction is negligible.
• Assume that the spring is $$100\%$$ efficient.
• Take $$\text{g}$$ (Acceleration due to gravity) as $$10 {\text{m/s}}^2$$.
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