Solving Gravity: Initial Velocity & Time

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SUMMARY

Determining the acceleration due to gravity can be achieved using the initial velocity and the time taken for an object to return to the ground after being launched vertically. The relevant equation is derived from the kinematic equations of motion, specifically \( g = \frac{2 \cdot v_0}{t} \), where \( g \) represents acceleration due to gravity, \( v_0 \) is the initial velocity, and \( t \) is the total time of flight. This formula allows for the calculation of gravitational acceleration when the initial velocity and time are known.

PREREQUISITES
  • Kinematic equations of motion
  • Understanding of initial velocity
  • Basic principles of gravity
  • Time of flight calculations
NEXT STEPS
  • Research the derivation of kinematic equations
  • Learn about projectile motion and its applications
  • Explore the effects of air resistance on free fall
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Students in physics, educators teaching mechanics, and anyone interested in understanding the principles of motion under gravity.

Sammiches
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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?
 
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Sammiches said:
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
 

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