Projectile Motion / Kinematics Lab (Only 2 Variables Given)

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SUMMARY

The discussion centers on a kinematics lab involving projectile motion where students launch a projectile at a specified angle to land in a cup positioned at a certain distance. The launcher height is 37 cm and the cup height is 7 cm, resulting in a vertical displacement (Dy) of 30 cm. The primary equation referenced is tanθ = Vy/Vx, but participants note that without the initial speed of the projectile, determining the horizontal distance (Dx) is impossible. The challenge lies in solving for Dx with only two variables provided.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Knowledge of trigonometric functions, specifically tangent
  • Ability to manipulate equations involving velocity components
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Learn about the relationship between angle, velocity, and range in projectile motion
  • Explore methods for measuring projectile speed without a timer
  • Investigate the effects of launch height on projectile trajectory
USEFUL FOR

Students in physics courses, educators teaching kinematics, and anyone interested in understanding the principles of projectile motion and its applications in laboratory settings.

dimitri194
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Homework Statement


So, our lab entails the students launching a projectile at a certain angle into a cup at a certain distance away. The launcher is 37 cm off of the ground and the cup is 7cm of the ground, so the Dy = 37-7 = 30cm. We will be given the angle in class and will be asked to position the cup at a certain distance. Let's say for example it is 35 degrees.

How could we solve for Dx with only two variables.
Any thoughts?

Thanks.


Homework Equations


tanθ = Vy/Vx


The Attempt at a Solution


I was thinking of using Vx = Vy/tanθ and then possibly substituting something in for Vy from another kinematic equation but that would require time and we are only given measuring tape, no timer.
 
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Hint: we are only given measuring tape.

Welcome to PF!
 
Without knowing the initial speed of the projectile, this problem cannot be solved.
 

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