Initial Velocity + Free Fall = Time

AI Thread Summary
The discussion focuses on deriving the time of free fall for an object with an initial velocity. The correct equation to use is (1/2)gt² + vit - h = 0, which incorporates both gravitational acceleration and initial velocity. The initial equation provided, √(2 ⋅ h / a), is only valid when the object starts from rest. Participants clarify that the quadratic formula must be applied to solve for time when initial velocity is present. Understanding these equations is crucial for accurately calculating free fall time.
julianwitkowski
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Homework Statement



Equation for the time of a free fall with an initial velocity?

Homework Equations



√ (2 ⋅ h / a )

The Attempt at a Solution



Is it √ (2 ⋅ h / via )Thanks for the help :)
 
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Your guess is not correct. Your first equation is correct if the object is at rest (vi=0). If initial velocity is not 0 you have to factor in a vit term and work t out from the quadratic equation:

(1/2)gt2 + vit - h = 0

(where h is the distance fallen).

AM
 
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