3 ways of finding muzzle velocity?

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To find muzzle velocity, the discussion focuses on measuring the drop of a horizontally fired projectile over varying distances. The relevant equation is s = ut + 1/2at^2, where acceleration is due to gravity. The challenge arises from not having recorded the time of flight, leading to questions about alternative methods for calculating muzzle velocity. It is noted that the vertical motion is independent of horizontal motion, allowing for the determination of time based on the drop distance. Understanding these principles is crucial for accurately calculating muzzle velocity without direct time measurements.
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Homework Statement


I have been measuring the drop over varying distances of a projectile that was fired horizontally. I have measured the drop(s) of shot from the horizontal. while recording the distances to the target.

Homework Equations


I have been told to use s=ut+1/2at^2

The Attempt at a Solution


accelartion=gravity
s=1/2gt^2.
The suggested formula uses time, and i don't have the times recorded, is there a way round or do i need time?
 
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The distance of the horizontal barrel from the ground is s. Knowing s you can solve for the time, t for the bullet to hit the ground. The motion of the bullet in the vertical direction is completely independent to the horizontal motion of the bullet. The vertical motion is only influenced by gravity and is similar to just dropping the bullet from the height of the barrel from the ground.
 

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