Worksheet # 1 Vectors 1. A car moved east with a velocity of 70 mi/h. Then it turned and continued to move to the north with a velocity of 55 mi/hr. Draw a diagram and calculate the car's resultant velocity and direction. (At the end convert mi/h to m/s.) 2. You walk 0.50 km in a direction 67.0 north of east. What is your horizontal and vertical components? 3. Roger drove 60 km/h due north then drove 20 km/h due west and 40 km/h due east. Draw a diagram and calculate the car's resultant velocity and direction. 4. The old car shuddered and groaned but it was able to travel 42 km/h west, then travel south 24 km/h and 28 km/h north. At last it made 24 km/h east. Draw a diagram and calculate the car's resultant velocity and direction. 5. A cat, trying to avoid the neighbor's dog, runs 15 meters south and then changes direction and runs 27 meters west in order to run under the fence. The dog jumps the fence and the cat runs again 9 meters north and then 6 meters east until she is hidden under a shed. Draw a diagram and calculate the cat's displacement.6. A toddler escapes his mother and stumbles 6 feet east then changes direction and toddles another 26 feet south. His mother almost catches him, but he nearly evades her by reversing direction and toddling 12 feet north and then 10 feet west. His mother finally grabs him. Draw a diagram and calculate the toddler's displacement at the point he was caught. 9'. Katie steals her brother's ice cream and runs away 25 m north. He starts to catch up with her. so she changes directions and runs behind the shed.l? m west. At last. she runs 32 m south and 24 m east. Draw a diagram and calculate her displacement. B. A truck drives up a hill with an lBincline. If the truck has a constant speed of 24 mfs. which are horizontal and vertical components of the truck's velocity? 9. You walk 0.40 mi in a direction 60,0west of north. then goes 0.20 mi due east. What is your displacement? 1i]. Plane ies 500 miles west. then turns and ies 100 miles north. The airport is snowed in. so he turns once more. flying 200 miles in a direction 50west of north. Draw a diagram and calculate the plane's displacement