A 4 - A curve Given the curve: r(t) = (y(t) ( 2 18 ) - R - sin (2wt) cos(2wt) (1) 4.1 What is the meaning (and units) of the parameters R, w and t? Sketch the curve. 4.2 Compute velocity v(t) and acceleration a(t). Show, that v(t) = lu(t) | and a(t) = la(t)| are constants with respect to time t. 4.3 Compute the arc length for a full revolution. 4.4 If a particle of mass m moves along that trajectory, a force F(r) = -2mwer is required. Is this force field conservative? (Why?) Compute/find a potential