Two dimentional motion question

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The discussion revolves around a physics problem involving two-dimensional motion, specifically focusing on finding the velocity and acceleration of a particle from its position functions. Participants emphasize the importance of understanding that velocity is the derivative of position, while acceleration is the derivative of velocity. An image of the problem is provided for clarity. The thread highlights the need for a solid grasp of calculus concepts to solve the question effectively. Overall, the conversation aims to assist in refreshing knowledge of fundamental physics principles.
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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