IV. In the reference system (0,7,j)the position of a particle M is given by: r(t) = OM = (2t2 + 5) - (10) (rin m and t in seconds) 1) Determine the positions Mo and M2 corresponding to t = Os and t = 2s respectively. 2) Determine the average velocity vector between Os and 2s. 3) Determine the cartesian equation of the trajectory. 4) Determine the velocity vector at any time and deduce its speed at any time. 5) Does the particle pass in the point A(23m, -30m)? if yes find its speed then. 6) Determine the tangential and the normal acceleration at f = Is and deduce the radius of curvature then. .
