Determining the Force acting on a Particle

[kacete]

Homework Statement

A particle of mass

moves across the XOY plane following the equation:

Homework Equations

The Attempt at a Solution

I'm totally clueless about this one.
I know I have to find the derivative of the movement equation to find the velocity and then again to find the acceleration and use it on Newton's Second Law of motion.
(The previous exercise was the reverse problem, given the F(t) eq, find the x(t) eq.)
I tried t=0 and t=1, and given the resulting vectors the velocity could be found?

 

[kacete]

Anyone?

 

[thomate1]

I would first clarify the problem by asking for more information such as the initial position and the equation for the force acting on the particle. Without this information, it is difficult to provide a specific solution. However, in general, to determine the force acting on a particle, we can use Newton's Second Law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration (F=ma). In this case, we would need to find the acceleration of the particle, which can be done by taking the second derivative of the position equation with respect to time. From there, we can plug in the mass of the particle and solve for the force. It is also important to note that the force acting on the particle may change over time, so we may need to consider the force at different points in time.