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- Vector Addition Template - Problem 1 Equations for Vector Components: Polar to Rectangular Rectangular to Polar Ax = A cos e A, = A sin e R² + R,² 2 R = 0 = tan Rx = Ax + Bx + .…. Ry = Ay + By +.…. Summary of Results: Name Magnitude Angle Reference X-component Y-component Angle A 10 m 0° В 15 m 90° Resultant (R) Vector Diagrams:6. When adding two perpendicular vectors, which of the following methods is best suited to determining the net vector? a) The component method c) The tip-to-tail method 7. An airplane is taking off with a speed of 260 km/h with its nose at an angle of inclination of 35 degrees. What are the horizontal and vertical components of it's motion (in that order) in km/h? 230, 110 a) b) 110, 230 c) 150, 210 d) 210, 150 8. An object is dropped and hits the ground 6.00 seconds later. From what height was it dropped? (Ignore air resistance). a) 177 m c) 294 m a) b) Magnitude adding method d) Scale diagram method 9. An object reaches a maximum velocity of v₂ by travelling a distance d, with an acceleration of a. How long of a time did this take to accomplish? 0₂²-0₁² 2ad V₂±√√v₂²-2ad a b) 289 m d) Not enough information given. c) At its max height V₂-ad 2 d) None of the above b) 10. An object is launched from the edge a cliff before falling into the water below. At a particular instant, its speed…# 5) Think in three dimensions. Think about what is your coordinate system. What directions are positive and negative in your coordinate system (clearly show how the positive and negative x, y, and z axes relate to North, East, South, and West)? You and your buddy do not have to have the same coordinate system, but the answer will work out the same for this problem. Clearly draw and label your 3D coordinate system A Los Angeles class nuclear submarine deep in the ocean's water rises 50.0 m straight upward in the water, then propels 200.0 m eastward (from west to east), then 100.0 m horizontally to the north. If an enemy Churchill class nuclear submarine started out at the same location as the Los Angeles class submarine and instead rose 100.0 m straight up, propelled 200.0 m westward, and 50.0 m horizontally to the south. What is the magnitude of the distance between the two submarines in the end? Express answer to 3 sig figs.
- When adding multiple two-dimensional displacement vectors, which of the following methods is most approp[riate to accurately determine the total displacement? 1. scale method diagram 2. Trigonometric method 3. magnitude adding method 4. algebriac component methodQuestion 6 B0/1 pt 5 20 Hint 1 Hint 2 Suppose you walk 29 m straight west and then 29 m straight north. Answer all questions assuming the +x - axis is to the east. • How far are you from your starting point? D = • What is your displacement vector? ÿ) m • What is the direction of your displacement? degrees relative to the + axis. Question 7 C0/1 pt 5 20 n 10Physics sample problems about vectors. Thought I knew how to do them but keep getting wrong answers.