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Perpendicular Vectors Worksheet KEY Name:___________________ ________________ Date:_________________ Mod:_________________ Directions: Solve the problems below by using the component method of vector addition to find the resultant. Make sure that the resultant has both magnitude and direction because it is a vector quantity. Show all work for each problem and circle your final answer. 1. A football player runs due east for 30 yards then cuts up the field due north for a distance of 35 yards before running into the end zone. What is the total displacement of the football player? √ ( ) √ ( ) 2. A vehicle travels to the right at an angle of 0 degrees for a distance of 50m. It then turns and heads at an angle of 90 degrees for a distance of 90m. What is the vehicle’s total displacement? √ ( ) √ ( ) 3. A soccer player kicks a ball to another player of the field who it due north by a distance of 15m. Once that player gets the ball, they then kick it to another player who is due west by a distance of 30m. What is the total displacement of the ball? √ ( ) √ ( Perpendicular Vectors Worksheet Methacton High School Physics Department ) 1 4. A plane travels from Houston, Texas to Washington, D.C., which is 1540km east and 1160 km north of Houston. What is the total displacement of the plane? √ ( ) √ ( ) 5. A camper travels 4.5 km west and 4.5 km south. What is the camper’s total displacement? √ ( ) √ ( ) 6. An archaeologist climbs a pyramid Egypt. If the pyramids height is 100.5m and the total width of the pyramid is 2.15x102 m. What is the archaeologist’s total displacement from the bottom of the pyramid to the top? √ √( ( ) Perpendicular Vectors Worksheet Methacton High School Physics Department ( ( ) ) ( ) ( ) ( ) ) 2