2 of 4 Problem 1 - Revenge of the Kinematics Graphs (10 pts.) Check the boxes that best describe the motion of the body that created each graph (2.5 pts. each) fx [m] The motion of the body represented by this graph: starts from rest. O moves at a constant velocity. undergoes constant acceleration. O undergoes increasing acceleration. is slowing down. O is speeding up. O is best described by: x = _ . a . t2 is best described by: x = 3 . a . t2 + 20 O All of the above. None of the above. t [s) Av[ m] The motion of the body represented by this graph: O starts from rest O moves at a constant velocity. O moves with an increasing velocity. O moves with a decreasing velocity. O undergoes constant acceleration. O undergoes increasing acceleration. is slowing down. O is speeding up. undergoes average acceleration described by: a = "f-vi O All of the above. ONone of the above. t (s) N The motion of the body represented by this graph: starts from rest. undergoes accel. between 0 and t1. undergoes accel. between t] and t2. O undergoes accel. between t2 and t3. O moves at constant velocity btw. t, and t2. O is not undergoing accel. btw. t1 and t2. comes to a halt between t, and t2. O All of the above. O None of the above. t2 t3 t [s]" ['\"l The motion ofthe body represented by this graph; Fl starts from rest. undergoes accel. between i) and r1. undergoes accel. between n and r2. undergoes accel. between #2 and 1'\". moves at constant velocity btw. i] and it]. moves at constant velocity btw. 2'1 and 1'2. moves at constant velocity btw. 2'2 and 1'3. comes to a halt between n and r3. '_ travels a total distance greater than 0. E ends where it started. Fl Fl ll Fl Fl Fl Fl C All ofthe above. _ None of the above. n t1 t2 t3 Tjsj Problem 2 Alligator River Bank Horizontal Velocity (2.5 pts.) You have decided to change majors from medicine to zoology. As part of your graduate course- work, you have to observe a group of alligators in the Florida Everglades. The alligators like to hang out in a shallow river bed, lurking for prey. You are standing on the western bank of the river, 3.2 111 above the water. The eastern bank is 2.8111 meters away. rising Hi 11] meters above the water. You need to cross the river, but a storm has taken out the bridge. You don't want to hike to the nearest crossing, so you decide to jump. If you don't want to end up as alligator food, you need to have a running start when jumping the river. Knowing that the acceleration due to gravity is 1i) 3;, what is the minimum horizontal velocity you need to clear the river? Problem 3 Dropping Medical Supplies Horizontal Position (4 pts.) You are a pilot for the Coast Guard doing search and rescue missions. You have recently located a castaway who has been marooned on a small island for several weeks. The castaway has signaled that they require medical assistance. Unfortunately, the island is too small for your aircraft to land on, so you have decided to airdrop a crate of food and medical supplies via parachute instead. The parachute reduces the acceleration due to gravity from u) g to :4 fig. As you approach the island, the horizontal velocity of your aircraft (and everything in it) is 120 3 and your altitude is 3.5mm. If you want the crate to land on the island's shore, how far away from the island do you have to be when you drop the crate? Problem 4 Baseball Practice - Vertical Position (3.5 pts.) Your cousin has taken up little league baseball and has asked that you watch him during practice. Your cousin is not very good at throwing, but has shown some talent as a catcher. The horizontal distance between the pitcher and your cousin is 15m. Assuming that the pitcher throws the ball with a constant horizontal velocity of 28 % from a height of Lii 111, at what height should your cousin position their catcher's mitt to catch the ball in case the batter misses? Extra Credit Fun With Sprinklers Vertical Velocity (10 pts.) It's the middle of August and you are visiting your cousin's house. You uncle has put the lawn sprinkler on the lawn in the backyard. Your cousin has climbed your uncle's cherry tree to pick some cherries. You think it might be fun to splash your cousin with water from the sprinkler. The horizontal distance from the sprinkler to the cherry tree is 4.2 111. Your cousin is sitting in the tree, 2.4 111 above the ground. The horizontal velocity of the water coming out of the sprinkler's noz- zle is a constant 2.7 'f' and the acceleration due to gravity is in '5; Determine the constant upward vertical velocity of the water so that it will hit your cousin. 7