Little Smith
07/03/2023 · Middle School
A stone is dropped off the edge of a 486 - ft cliff on Mars, where the acceleration due to gravity is about \( 12 \mathrm{ft} / \mathrm{s}^{2} \). The height (in feet) of the stone above the ground t seconds after it is dropped is \( \mathrm{s}(\mathrm{t})=-6 \mathrm{t}^{2}+486 \). Find the velocity of the stone and its speed when it hits the ground.
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The velocity of the stone when it hits the ground is \( -108 \, \text{ft/s} \) and its speed is \( 108 \, \text{ft/s} \).
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