Word Problem with Kinematics Equation

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SUMMARY

The discussion focuses on solving a kinematics problem involving an object thrown from a cliff with an initial velocity of 10 m/s and a final velocity of 20 m/s downward. The acceleration due to gravity is given as 9.8 m/s². The correct displacement of the object is -15 meters, indicating it fell below the starting point. The time taken for the object to land is calculated to be approximately 3.1 seconds using the kinematic equations provided.

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  • Familiarity with the concept of negative displacement in physics
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Natko
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Homework Statement


An object thrown up from a cliff 10 m/s reaches a velocity of 20 m/s [down] as it lands. If acceleration due to gravity is 9.8 m/s2, what is the object's displacement? How long did it take for the object to land from the time it was thrown?


Homework Equations


I'm not sure if all of the below are relevant, or perhaps some equations are missing.

Δx = v0t + 1/2at2
(displacement = initial velocity x time + 1/2 acceleration x time squared)

vf2 = v02 + 2aΔx
(final velocity squared = initial velocity squared + 2 acceleration x displacement


The Attempt at a Solution


t1 = v/a = 1.02 s
t2 = v/a = 2.04 s
t1 + t2 = 3.1 s

Not sure how to find the displacement, but the answer key says it's -15m. How do I find it?
 
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Natko said:
Not sure how to find the displacement, but the answer key says it's -15m. How do I find it?
You can use either of your two equations to solve for the displacement. If you use the first, do not round off the time to 3.1 seconds.
 
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