Problem 5: A 5 kg particle is traveling counterclockwise around a circle. The y-component of the particle's position is given by y(t) = 2 sin(t²). Note that the equation which parameterizes a circle is x² + y² = R², in which R is the radius of the circle. At time t = 0,x(0) = 2 m. Report answers in Cartesian Coordinates. i) ii) iii) A X What is the position vector ŕ (t) as a function of time? What is the velocity v(t) of the particle as a function of time? What is the acceleration ä(t) of the particle as a function of time? What is the net force on the particle when at point A?

Problem 5: A 5 kg particle is traveling counterclockwise around a circle. The y-component of the particle's position is given by y(t) = 2 sin(t²). Note that the equation which parameterizes a circle is x² + y² = R², in which R is the radius of the circle. At time t = 0,x(0) = 2 m. Report answers in Cartesian Coordinates. i) ii) iii) A X What is the position vector ŕ (t) as a function of time? What is the velocity v(t) of the particle as a function of time? What is the acceleration ä(t) of the particle as a function of time? What is the net force on the particle when at point A?