Initial Velocity + Free Fall = Time

[julianwitkowski]

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 / v_ia )


Thanks for the help :)

 

[Andrew Mason]

Your guess is not correct. Your first equation is correct if the object is at rest (v_i=0). If initial velocity is not 0 you have to factor in a v_it term and work t out from the quadratic equation:

(1/2)gt² + v_it - h = 0

(where h is the distance fallen).

AM