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Vector Practice Problems 1. Consider an airplane that normally has an air speed of 105 km/h flying in a 90 km/h crosswind blowing from west to east. Calculate its ground velocity when its nose is pointed north in the crosswind. 2. A dog pulls on a pillow with a force of 4.5 N at an angle of 32° above the horizontal. Find the x and y components of the force. 3. Calculate the magnitude of the resultant of a pair of 78 km/h velocity vectors that are at right angles to each other. 4. A person walks 34° north of east for 2.53 km. How far would another person walk due north and due east to arrive at the same location? 5. A telescope pointed directly at the top of a distant flagpole makes an angle of 69° with the ground. If the scope is low to the ground and 34 m from the base of the pole, how tall is the pole? 6. Jeffy walks to the corner of the street to wait for the bus. He has displacement vectors of 12 m @250, 11m @1550, 8 m @ -1550 and finally 24m @ 540. Find the resultant vector for the sum. 7. John walks at 1.3 m/s @ 150 N of E for 5 min. He then turns and travels at 0.8 m/s @ 150 E of N for 10 min. before finally traveling at 0.6 m/s @ 550 W of S for 25 min. Determine his displacement, average speed and average velocity. 138.293 km/[email protected] 3.8162 N 2.3846 N 110.309 km/h 1.4145 km N 2.0975 km E 88.573 m 26.8988 m @73.2240 0.85 m/s 509.014m @31.340 NofE 0.1697 m/s @31.340 NofE