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Presumably, the ball is kicked parallel to the ground below the cliff, so its altitude <em>y</em> at time <em>t</em> is
where <em>g</em> = 9.80 m/s^2 is the acceleration due to gravity.
The ball hits the ground when <em>y</em> = 0:
The speed of the block when the compression is 15 cm is 9.85 m/s.
The given parameters;
- <em>mass of the block, m = 2.4 kg</em>
- <em>height of the block, h = 5 m</em>
- <em>compression of the spring, x = 25 cm = 0.25 m</em>
The spring constant is calculated as follows;
The speed of the block when the compression is 15 cm can be determined by applying the principle of conservation of energy;
Thus, the speed of the block when the compression is 15 cm is 9.85 m/s.
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