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The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by 0 = 0.84t - 0.056t2, where is in radians and t is in seconds. The slider is at r = 1.42 m when t = 0 and thereafter is drawn inward at the constant rate of 0.15 m/s. Determine the velocity v and acceleration a of the slider when t = 2.5 s. Express your answers in the x-y coordinate system. Answers: At t = 2.5 s, v = (i a = ( IN p x i+ i+ i j) m/s j) m/s²

An amusement park ride consists of a car which is attached to the cable OA. The car rotates in a horizontal circular path and is brought to a speed of 7 ft/s when r = 16 ft. The cable is then pulled in at the constant rate of 1 ft/s. Determine the speed of the car in 4.6 s.

Car A is traveling at the constant speed of 45 km/h as it rounds the circular curve of radius r = 380 m and at the instant represented is at the position 0 = 40°. Car B is traveling at the constant speed of 54 km/h and passes the center of the circle at this same instant. Car A is located with respect to car B by polar coordinates r and with the pole moving with B. For this instant determine VA/B and the values of r and as measured by an observer in car B. Answers: VA/B = r = 0 = i i 8 m/s m/s rad/s B