BSB 112, PHYSICS I Tutorial 3 September 2019 1. A person walks 40.0° north of east for 3.10 km. How far would she have to walk due north and due east to arrive at the same location? 2. Given the displacement vectors 𝐴̅ = (3𝑖̂ − 4𝑗̂ + 6𝑘̂) 𝑚 and 𝐵̅ = (2𝑖̂ + 3𝑗̂ − 7𝑘̂) 𝑚, find the magnitudes of the following vectors and express each in terms of its rectangular components. a) 𝐶̅ = 𝐴̅ + 𝐵̅ ̅ = 2𝐴̅ − 𝐵̅ b) 𝐷 3. A fish swimming in a horizontal plane has velocity 𝑣̅𝑖 = (4.0𝑖̂ + 1.0𝑗̂) 𝑚/𝑠 at a point in the ocean where the position relative to a certain rock is 𝑟̅ = (10.0𝑖̂ − 4.0𝑗̂) 𝑚. After the fish swims with constant acceleration for 20.0 s, its velocity is 𝑣̅ = (20.0𝑖̂ − 5.0𝑗̂) 𝑚/𝑠. a) What are the components of the acceleration of the fish? b) What is the direction of its acceleration with respect to unit vector 𝑖̂? c) If the fish maintains constant acceleration, where is it at t = 25.0 s and in what direction is it moving? 4. A pool ball leaves a 0.65-meter high table with an initial horizontal velocity of 2.5 m/s. a) Calculate the time required for the pool ball to fall to the ground. b) Calculate the horizontal distance between the table's edge and the ball's landing location.