Targ S.M. 1988 K1 option 30

Point B moves in the xy plane; the trajectory of a point in the figures is shown conditionally. The law of motion of the point is given by the equations x = f1 (t), y = f2 (t), where x and y are expressed in centimeters, t - in seconds. Find the equation of the trajectory of the point; for time t1 = 1c, determine the speed and acceleration of the point, as well as its tangent and normal accelerations and the radius of curvature at the corresponding point of the trajectory.