Particle Motion and Forces: Solving for Velocity, Acceleration, and Force

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To determine the velocity, acceleration, and force acting on a particle of mass 10 kg, a position function must first be established for the variables x and y. Once the position function is defined, the velocity can be derived as the first derivative of the position with respect to time. The acceleration is then found as the second derivative of the position function. Finally, using Newton's second law, the force can be calculated by multiplying the mass by the acceleration. A clear formula and step-by-step explanation are essential for solving this problem effectively.
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Homework Statement


the motion of a particle of mass m=10kg is described by the equation x= y=
where x and y are in meters and t in seconds. Determine the velocity acceleration of the particle and the force acting on it.


Homework Equations





The Attempt at a Solution

 
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i don't see an eq of x and y. :(
 
oh sorry. there is no any eq in front of x and y, can u put one for me and explain it for me
 
Again, you'll want to formulate an equation that gives the position function, and relate that to velocity, then relate that equation to acceleration, at which point you can use Newtons second law to figure out the force acting on the particle.
 
can u show me a formula and how to do it
 

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