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1. An arrow is shot straight up, from the top of a cliff and lands on the ground below the cliff. The cliff is 65

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1. An arrow is shot straight up, from the top of a cliff and lands on the ground below the cliff. The cliff is 65 m high. The bow gives the arrow a velocity of 37 m/s [up]. What is the maximum height of the arrow measured from the ground below the cliff? (3 marks) 2. You are on a train, travelling at a speed of 42.0 m/s when you notice debris on the tracks up ahead. You immediately apply the brakes, and the train is exactly 550 m away from the debris. The brakes cause the train to slow down at a constant rate of 1.65 m/s , will the train have enough room to stop? (HINT: There are at least two different ways to solve this problem!) (3 marks) 3. Find the acceleration of an object that changes velocity from 118 m/s [W] to 206 m/s [S] in 55 s. (HINT: The equation for acceleration involves a vector subtraction. Since a=Av/At and Av=v2-vy , use vector subtraction to find Av. Be careful with this, as the directions in this problem are in 2 different dimensions.) (4 marks) 4. A boat cruises down the St. Clair River with a velocity of 42 km/h [60 N of E], relative to the water. If the water current on the river moves eastward with a velocity of 12 km/h, relative to the shore, determine the velocity of the boat, relative to the shore. (4 marks) 5. An egg is thrown from the top of a 45-m building at an angle 250 above horizontal with a velocity of 24 m/s. Find the egg's total flight time and its impact velocity as it splats on the ground. (6 marks)

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