I think my physics teacher doesnt have a clue

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SUMMARY

The discussion centers on a physics experiment involving the calculation of time for a marble's trajectory. The initial speed calculated was 0.5135 m/s, and the equation provided by the teacher was T = Velocity * Sin(angle) / Gravity. However, the user calculated a travel time of approximately 3.15 seconds for a distance of 1.62 meters, which is inconsistent with the initial speed. The correct approach indicates that the time for the entire trip should be double the time calculated for the ascent, and the user likely made a measurement error, as the initial speed should be around 16.5 m/s for a 3.15-second trip.

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Homework Statement



we did a experiment in class shooting marbles and taking measurements. The size of the Marble is .0019 meters and with a photo gate timed it at .0037 secs. Giving me a initial speed of .5135 m/s2. I am now trying to find time. with the angle being 70 degrees

Homework Equations




She gave us this equation to find time T= Velocity*Sin(angle)/Gravity.

The Attempt at a Solution


I have tried several times looking at the units. We did the experiment and the distance it traveld was roughly 1.62 meters. KNowing this i figured the time to be roughly 3.15s. But using the formula she gave me i can't come up with the same answer what am i doing wrong?
 
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The equation you mention gives the time the marble takes to travel from the photo gate to the top of its trajectory (ignoring air resistance). If you want the time for the "whole" trip (assuming it lands at the same height as the photo gate), you should use twice this value.

But I think you must have made a measurement error somewhere, because a particle with initial speed of around 0.5 m/s will only take around 0.1 s to fall and it will only reach a maximum height around 0.01 m. To get a trip time of around 3.15 s the initial speed should have been around 16.5 m/s which gives a maximum height around 12.2 m.
 

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