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A pellet gun is fired straight downward from the edge of a cliff that is 16.8 m above the ground. The pellet strikes the ground with a speed of 38.1 m/s. How far above the cliff edge would the pellet have gone had the gun been fired straight upward?

Answer :

The pellet would have reached a maximum height of approximately 73.5 m above the cliff edge if it had been fired straight upward.

Use the conservation of energy to find the height that the pellet would have reached if it had been fired straight upward from the cliff edge.

Let's call the maximum height reached by the pellet h.

Initial kinetic energy = Final potential energy

(1/2)mv^2 = mgh

where m is the mass of the pellet, v is the initial velocity of the pellet, and g is the acceleration due to gravity.

Solving for h, we get:

h = (1/2)v^2/g

h = (1/2)(38.1 m/s)^2/9.81 m/s^2 ≈ 73.5 m

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