Name ______________________________________ Pd ___ Date ______________________ Vector Worksheet #2 Finding the Resultant Vector Use the Pythagorean Theorem and the trigonometry equation as shown on page 4 of the Vectors Guided Inquiry to find the magnitude and angle of direction of the resultant vector. 1. An airplane is heading north with an airspeed of 325 m/s with a wind from the east at 55.0 m/s. What is the airplane’s velocity relative to the ground? Is the airplane’s ground speed faster or slower than its air speed? Why? 2. A kayaker is paddling 2.50 m/s at an angle of 45° (northeast) and the current is moving 1.25 m/s at an angle of 315° (southeast). What is the kayaker’s total velocity? 3. A football is thrown with a horizontal velocity of 15.0 m/s and a vertical velocity of 4.25 m/s. What is the football’s velocity? 4. An inclined ramp has a height (rise) of 0.250 m and a horizontal distance (run) of 1.25m. What is the displacement of the ramp? Finding the Component Vectors Use trigonometry method shown on page 6 of the Vectors Guided Inquiry to resolve a vector into its x (east, horizontal) and y (north, vertical) component vectors. 5. A bullet leaves the barrel of the gun at 925 m/s and an angle of 5.00°. What are the bullet’s vertical and horizontal velocity components? 6. A ship is traveling 12.5 m/s at an angle of 105°. What are the ship’s north and east velocity components? 7. A hiker travels 4750 meters at an angle of 30°. How far did the hiker travel north and east? 8. A rocket is launched at an angle of 75.0° with an acceleration of 125 m/s2. What are the rocket’s vertical and horizontal acceleration components?