Free fall with + and - Vinitial

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Two objects are thrown from a cliff, one with a positive initial velocity (upward) and the other with a negative initial velocity (downward). The discussion centers on whether the object thrown upward reaches a greater height and thus has a larger final velocity (vf) upon hitting the ground due to a longer duration under gravity. It is pointed out that the initial velocities must be considered when calculating vf, as they influence the overall motion. The upward-thrown object will eventually return to the cliff's height, raising questions about its velocity at that point. Ultimately, the calculations of final velocities depend on both the initial velocities and the heights reached.
Gerstemeier
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Two objects thrown from a cliff. One with + vinitial (upward) One with - vinitial (downward). Does the one with + vinitial not reach a greater height and thus have a larger vf upon hitting the ground since it falls farther and therefore is subject to gravity longer?
 
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Gerstemeier said:
thus have a larger vf upon hitting the ground since it falls farther and therefore is subject to gravity longer?
Yes. perhaps your argument is correct but check their initial velocities (from which they start falling under gravity) and then calculate Vf... then you may be wrong!
 
Gerstemeier said:
Two objects thrown from a cliff. One with + vinitial (upward) One with - vinitial (downward). Does the one with + vinitial not reach a greater height and thus have a larger vf upon hitting the ground since it falls farther and therefore is subject to gravity longer?
If you throw an object upward from the top of the cliff, it will normally come back down again. When it does so and is level with the top of the cliff, what is its velocity then?
 
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