1. Let A = (2, 4, 5) and A = (1, 3, 5). Which vector is more inclined to the x- axis? 2. A particle is moving with an acceleration a. = (2t, 3t). The initial position ofthe particle is r = (10, 20). Find it's a) position, v) velocitv, and c) direction of motion at t=3s 3. A lift with its occupants has a mass of SODOkg. Calculate the tension in the elevator cable if it is: a] accelerated upward bv 1.5 m/s2; b) decelerated upward bv 1.5 mst; c} accelerated downward bv 1.5 mfsl; d) decelerated downward by 1.5 mfsl. 4. The spring of a cork gun has a spring constant of 20 me. A cork is shot horizontally from 10 m above the ground using this gun. How far the cork will travel before it hits the ground; ignore the air resistance in the calculation. 5. A 2 kg object is moving under the action of a force F = {2, 3, 4) N. The object is displaced from a position r1 = [2, 3, 4) to r2 = [3, 4, 5) in 10 s. Calculate the average power applied on this object during this interval