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1-dt-conteht-fi0-3307 1. A motorcycle is traveling at a constant rate of 20.0 m/s in the east direction Oz = 20.0 m/s) and 25.0 m/s in the north direction (vy 25.0 m/s) (a) What is the magnitude of the motorcycles velocity vector? 4. A ship starts at the origin, experiences a displacement of 3000.0 m directly northeast, another displacement of 1000.0 m directly east, and then a final displacement of 3000.0 m directly southeast. Graphically find the total displacement of the ship by vector-adding the individual displacement vectors using the tail-to-head method, and then estimating the magnitude and direction of the final vector (b) What is the direction that the motorcycle is traveling (as an angle relative to east)? (c) What is the total distance that the motorcycle will travel in 10 seconds? 2. A robot is sitting motionless at a point relative to its charging station (which we will call the origin) such that its position vector has a magnitude of 33.0 m and an angle in the xy plane of-15.0° relative to theand then adding corresponding components. x axis. What are the x and y components of this position vector? 5. Redo the previous problem numerically by calculating the east and north components of each displacement vector 6. Two vectors are given in unit-vector notation by а 38 b -2+79 (a) Find a × b (b) Find a. b 3. Two vectors are given in unit-vector notation by: а-38-29 + b=29 + 52 (a) Find ã+b (b) Find a-b (c) Find the vector that satisfies the equation: ã +2b-3-0


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