Solving Gravity: Initial Velocity & Time

[Sammiches]

I guess this isn't the proper format, but I would rather try and work out the complete problem on my own :\ If this is a huge faux pas then someone can go ahead and delete this post i suppose.

Now that that's out of the way, could someone tell me if it is possible to determine acceleration due to gravity knowing only the variables for initial velocity and time taken to once again reach to ground of an object launched from the ground vertically? And what would this equation be?

 

[LowlyPion]

I guess this isn't the proper format, but I would rather try and work out the complete problem on my own :\ If this is a huge faux pas then someone can go ahead and delete this post i suppose.

Now that that's out of the way, could someone tell me if it is possible to determine acceleration due to gravity knowing only the variables for initial velocity and time taken to once again reach to ground of an object launched from the ground vertically? And what would this equation be?

Welcome to PF.

If you are browsing for formulas:
https://www.physicsforums.com/showpost.php?p=905663&postcount=2

 

[baba89]

I appreciate your desire to work through problems on your own. However, I would like to offer some guidance on this topic.

In order to solve for the acceleration due to gravity, we need to use the equation for free fall motion: d = 1/2 * g * t^2, where d is the distance traveled, g is the acceleration due to gravity, and t is the time taken.

In this case, we are given the initial velocity (which we can assume is 0 since the object is launched from the ground) and the time taken to reach the ground again. We can rearrange the equation to solve for g: g = 2d/t^2.

Therefore, if we know the distance traveled and the time taken, we can determine the acceleration due to gravity.

However, it is important to note that this equation assumes that there is no air resistance and that the object is in a vacuum. In reality, there will always be some air resistance and other factors that may affect the object's motion. So while this equation can give us a rough estimate of the acceleration due to gravity, it may not be completely accurate.

I hope this helps and encourages you to continue exploring and solving scientific problems!