Solution K1 Option 29 (Fig. 2 cond. 9) termehu Targ 198

Solution of Problem K1 Option 29 by Theorem from Targ S.M. 1988. Condition for the task from the section Kinematics 1 (page 19 in the training manual Targ S.M.): Point B moves in the xy plane (Fig. K1.0-K1.9, Table K1; the trajectory of the point in the figures is shown conditionally). The law of motion of a 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; for time t1 = 1 s, determine the speed and acceleration of the point, as well as its tangential acceleration and radius of curvature at the corresponding point of the trajectory. The dependence x = f1 (t) is indicated directly in the figures, and the dependence y = f2 (t) is given in Table. K1 (for Fig. 0-2 in column 2, for Fig. 3-6 in column 3, for Fig. 7-9 in column 4).