Projectile Motion: Method of finding initial velocity in a lab

AI Thread Summary
To determine the initial velocity of a marble launched horizontally from a table, the height, horizontal distance, and time of flight can be measured. The equations of motion can be applied, specifically using d = vi * t + 0.5 * g * t^2 to find time and initial velocity. The discussion raises a question about whether the initial velocity would differ if the marble were launched at an angle, noting that the independence of perpendicular components may not apply depending on the launching mechanism. It is highlighted that using a spring launcher could affect the initial speed due to energy distribution between kinetic and potential energy. Understanding these factors is crucial for accurately calculating the marble's exit speed.
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Homework Statement


Determine the exit speed(initial velocity) of a marble exiting a launcher shot from a table.
The height of the table, distance of the x component and the time can be measured. t=? Vi=? Vix=?

Homework Equations


d= vi * t + 0.5*g*t^2
Vi^2=Vix^2*Viy*2

The Attempt at a Solution


I would be able to find the initial velocity for the marble if I launch it horizontally by setting Viy= 0 and finding the time for the y component and sub that into the x component.

tl:dr: My question is that is would the initial velocity for the marble launched horizontally be the same initial velocity if it was launched at an angle? (since perpendicular components are independent of each other or does that not apply to this situation?)[/color]
 
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Not necessarily. It depends on the launching mechanism. If it is a spring for instance
we get that the stored energy in the spring is now used to increase both the kinetic
and potential energy of the marble, so it would have slightly smaller launching speed.
 

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