Vector Problem: Solving Displacement & Speed of Contact

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The discussion focuses on solving a vector problem related to displacement and speed of contact with the ground. The original poster seeks guidance on using vector operations, specifically dot and cross products, and understanding the final displacement point. Participants suggest utilizing the equations of motion and clarifying the direction of the velocity vector, emphasizing that the y-axis represents upward movement. The conversation highlights the importance of defining components clearly to solve the problem effectively. Overall, the thread provides insights into approaching vector problems in physics.
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Hello, my problem is attached as a picture. Could you give me some guidelines on how to approach the problem? (i know the given formulas are derived using QM (probably), and I'm not "scared" from them, i just need to know where to do a cross or a dot product, and maybe how to approach the last part of the problem - the speed of contact with the ground. This would probably mean that the vector displacement finish point will be at (a, b, 0).)
 

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I don't see any QM in there.
You have the equation of motion along with clues to ##\vec{V}## and ##\vec{A}## - why not use this?

It may help if you pick a direction for U - if it has to be general, then ##\vec{V}=U\hat{V}## which will have zero y component (because it is "horizontal").

Notice the the y-axis is "up".
 
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