Very simple gravity/time/distance travelled problem

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SUMMARY

The discussion revolves around calculating the time it takes for a droplet of water to fall from a height (Point A) to a surface (Point B) under the influence of gravity (g). The equation used for the initial fall time (t1) is t1 = square_root((2 * d)/g). To find the time (t2) for the droplet to travel from an intermediate point (Point X) to the surface, one must first calculate the time to reach Point X (t[X]) and then subtract this from t1. This method is crucial for applications such as high-speed photography of falling objects.

PREREQUISITES
  • Understanding of basic physics concepts, specifically free fall and gravity.
  • Familiarity with the kinematic equation for free fall: t = square_root((2 * d)/g).
  • Knowledge of high-speed photography techniques and their requirements.
  • Ability to perform basic arithmetic operations and manipulations of equations.
NEXT STEPS
  • Learn advanced kinematic equations for objects in free fall.
  • Explore the principles of high-speed photography and its applications in physics.
  • Study the effects of air resistance on falling objects.
  • Investigate the use of motion sensors to measure falling times accurately.
USEFUL FOR

This discussion is beneficial for physics enthusiasts, high-speed photographers, and anyone interested in the dynamics of falling objects and their measurement techniques.

dkayuk
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Homework Statement


This isn't really homework, because I'm not at school anymore (aged 42!) but I will describe as best as I can.

A small object like a droplet of water is released from a height (point A), falling on the surface (Point B) with initial speed 0. Distance between A and B, I will call d and obviously there's gravity (g) and time it takes for the droplet to fall from A to B, I will call t1. I know the equation so that given d is known, and so is gravity, then I can calculate time (t1).

Suppose that between points A and B, there's a point X. By the time the droplet has reached X is already has a certain speed. How do I calculate the time (t2) that it takes for the droplet to travel from X to the surface (B)?

Homework Equations



t1=square_root((2 * d)/g)

The Attempt at a Solution



I know (or at least I think I know) that I can't use the same equation to calculate t2 because the droplet already has a certain speed.

Apologies, if I'm not explaining this very well. I've not done any physics for 25 years and the reason I need this is because I'm doing high speed photography with falling objects.

thx

DK
 
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If you know the distance AX, you can use the above equation to calculate the time for the droplet to reach point X, t[X]. As t[1] stays the same whether or not you add an extra reference point, simply substract t[X] from t[1] and you have your answer.

Hope this helps.
 

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