Answer the following questions and show your solution. Free body diagram is needed in each questions.

73 2 A passenger has an inward acceleration of 10.47X10 m/s while riding a Ferris wheel that is 50.7 min diameter. How long will it take the passenger to complete one full cycle of his ride? 0 5.15 min 0 254 min 0 2.91 min 0 7.29 min The motion of a dog is observed to be given by the function r = (1.23 m/s ) thi-[(0.69 m/s ) t3-2.53 m]j. What is the magnitude of the instantaneous velocity of the dog between t=0 and t=3.1 s? 6.87 m/s O 6.95 m/s O 21.30 m/s O 21.56 m/sA canon was launched with an initial speed of 103 m/s at an angle of 43.7 above the horizontal. The canon hit the top of a building that is 912 m away from where the canon was launched. What is the height of the building? O 136.55 m O 435.76 m 258.36 m 526.49 mA physics teacher who is 1.76 m tall is walking towards the Science Complex Building at a constant speed of 1.03 m/s. His student who is on the rooftop of the building played a prank by pushing an egg vertically down at a speed of 1.02 m/s onto his head when he was a distance 4.22 m away from the building. How high is the Science Complex Building? O 88.2 m O 84.0 m O 86.4 m O 79.8 mAn airplane decelerates at a constant rate of 5.38 m/s when it landed on the runway of an airport. For a duration of 17.3 s, the plane has covered a distance of 1391 m between two points along the airport runway. What is the speed of the airplane at the first point? O 93.1 m/s O 122 m/s O 127 m/s O 33.9 m/s