Projectile Motion: Finding Final Vertical Velocity

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To find the final vertical velocity of a rock thrown horizontally off a cliff, the time of flight must first be determined using the horizontal distance and initial velocity. The horizontal motion provides a time of flight of approximately 1.48 seconds. Using this time in the vertical motion equations, the final vertical velocity can be calculated with the equation vf = vo + at, where the initial vertical velocity (vo) is 0 m/s and acceleration (a) is 9.81 m/s². This results in a final vertical velocity of 18.9 m/s. The solution emphasizes the importance of calculating time of flight to derive the final vertical velocity accurately.
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Homework Statement


A backpacker throws a rock horizontally off of a cliff with an initial velocity of 11.7 m/s, and the rock lands 17.3 m away from the base of the cliff. What is the final vertical velocity of the rock? Round your answer to 2 decimal places.

Homework Equations


Δd = vot + 1/2at2

vf = vo + at

vf^2 = vo^2 + 2aΔd

The Attempt at a Solution


18.9 m/s
 
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You need to show how you got that 18.9 m/s answer. Hint you can find the time of flight easily.
 
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