Velocity and acceleration of a person and train

AI Thread Summary
The discussion centers on calculating the velocity and acceleration of a person on a balcony and a train moving below. The scenario involves a person attempting to drop an object from a height of 4.95 meters onto a train traveling at a constant speed between two photogates. Key equations related to projectile motion and kinematics are suggested for solving the problem. Participants are encouraged to share their attempts and relevant equations to facilitate understanding. The objective is to accurately determine the timing needed for the object to hit the moving train.
crystaluc12
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Homework Statement



A person is standing on top floor anywhere along a measuring tape that runs from point A to point B. There is a train on the ground level directly below that floor. The distance between the top floor and the level of the train is 4.95 m. Train is going from Photogate A (a sensor) (its directly below point A) to Photogate B (directly below point B). The train is running at a constant speed along the track and parallel to the balcony. Objective is to hit the train with a "bomb" blindly. You are given a stopwatch.

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The Attempt at a Solution

 
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Why don't you start off my stating some equations that could be used for this question.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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