Two dimentional motion question

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SUMMARY

The discussion focuses on solving a two-dimensional motion problem in physics, specifically involving position functions that describe a particle's location over time. Participants emphasize the importance of understanding that velocity is the derivative of position, while acceleration is the derivative of velocity. This foundational knowledge is crucial for accurately calculating both velocity and acceleration from the given position functions.

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  • Understanding of calculus, specifically derivatives
  • Familiarity with two-dimensional motion concepts
  • Knowledge of position, velocity, and acceleration relationships
  • Basic physics principles related to motion
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  • Explore two-dimensional motion equations and their graphical representations
  • Learn about particle motion analysis using position functions
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Students refreshing their physics knowledge, educators teaching motion concepts, and anyone interested in the mathematical foundations of kinematics.

Nikolayevitc
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Hi everyone! I've just started to refresh my knoweldge of physics after a lot of time and I bumped into a question which I can't understand. I will really appreciate it if someone can solve and explain this thing for me. An image of the problem is attached to the thread. thx
 

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You're basically given two position functions that describe where the particle is at a given time and you have to find the velocity and acceleration of the particle given the position functions. Knowing that velocity is a derivative of position and that acceleration is a derivative of velocity will greatly help you in solving this problem.
 

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