What is the formula for calculating time and velocity with acceleration?

AI Thread Summary
To calculate the time it takes for an object to fall a certain distance under constant acceleration, the relevant formula involves initial velocity, acceleration, and distance. For an object falling 125 meters, one can use the equation Dx = v_f t - 1/2 a t^2 to find the final velocity and then determine the time. If the start and end points are the same, the displacement is zero, indicating that average velocity equals zero, while average speed accounts for total distance traveled. It is important to distinguish between average speed and average velocity, as they are calculated differently. Understanding these concepts is crucial for solving problems related to motion under acceleration.
Genowyn
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OK. I am doing my science summative and have entirely forgotten what formula to use to find how long it takes something to travel a certain distance, given the acceleration.

More specifically, I need to know the formula for how long it takes something to fall 125m to the ground.

Also, how do I find velocity if the start position of my object is the same as the first one. (I know the speed, just not the direction.)
 
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All of the ones on that page seem to require that I know the final velocity. I don't know the final velocity, just the distance, initial velocity, and acceleration.

So, I still have no idea what to do.
 
You can use equation 4 to solve for the final velocity and then use equation 3 to solve for the time.
 
I see, thank you.

Does anyone know about how I find direction if the start and end point are the same point?
 
The displacement is zero, hence no direction, i think that is right judging from what your question is asking
 
So the velocity is just the same as the speed?
 
No.
Average speed is the total path distance traveled divided by the time taken
(there and back again distances adding up)
Average velocity is the "net" displacement (zero, here) divided by time.

Their "complete set of formulas" is missing 3b : Dx = v_f t - 1/2 a t^2 .
 
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