Projectile Motion: Method of finding initial velocity in a lab

In summary, the problem is to determine the exit speed of a marble launched from a table, with the height of the table, x-component distance, and time being known. The equations used are d= vi * t + 0.5*g*t^2 and Vi^2=Vix^2*Viy*2. The initial velocity for a horizontally launched marble can be found by setting Viy=0 and finding the time for the y component. However, if the marble is launched at an angle, the initial velocity may not be the same, depending on the launching mechanism. For instance, if a spring is used, the marble may have a slightly smaller launching speed due to the use of stored energy.
  • #1
Yme
1
0

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?)
 
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  • #2
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.
 

FAQ: Projectile Motion: Method of finding initial velocity in a lab

What is projectile motion?

Projectile motion is the motion of an object that is launched or thrown and moves through the air under the influence of gravity.

Why is it important to find the initial velocity in a lab?

Finding the initial velocity allows us to accurately predict the trajectory and behavior of a projectile, which is crucial in many fields such as physics, engineering, and sports.

What is the method for finding initial velocity in a lab?

The most common method for finding initial velocity in a lab is by using the projectile motion equation: v = u + at. This equation can be rearranged to solve for the initial velocity (u = v - at) by measuring the final velocity, time, and acceleration of the object.

What equipment is needed for conducting a projectile motion experiment?

To find initial velocity in a lab, you will need a projectile (such as a ball), a ramp or other launching mechanism, a timer or stopwatch, a measuring tape or ruler, and a calculator.

Are there any limitations to finding initial velocity in a lab?

Yes, there are some limitations to finding initial velocity in a lab. These include air resistance, which can affect the motion of the projectile, and human error in measuring the time and distance traveled. It is important to conduct multiple trials and take accurate measurements to minimize these limitations.

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