A ball of mass $2 \text{ kg}$ is placed in front of a spring having constant $20 \text{ N/m}$ 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 meters) of the ball from the spring when it hits the ground.

**Details and Assumptions:**

- The ball does not rebound after hitting the ground first.
- Air friction is negligible.
- The spring is 100% efficient.
- Take $g=10 {\text{ m/s}}^2$ as the acceleration due to gravity.

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