Projectile Motion / Kinematics Lab (Only 2 Variables Given)

AI Thread Summary
The lab involves launching a projectile from a height of 37 cm to a cup positioned 7 cm above the ground, resulting in a vertical displacement (Dy) of 30 cm. Students will be given a launch angle, such as 35 degrees, and must determine the horizontal distance (Dx) to the cup. The primary equation discussed is tanθ = Vy/Vx, but without knowing the initial speed of the projectile, calculating Dx is not feasible. The only tools available are measuring tape, which limits the ability to measure time or speed. Ultimately, the problem cannot be solved with the provided information.
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.

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Without knowing the initial speed of the projectile, this problem cannot be solved.
 

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