An aircraft approaches a runway that runs directly east at 440 km/h. A strong wind, of 52.0 km/h, blows out of the south. What is the aircraft’s speed in km/s?

A truck drives 20 blocks north, then 15 blocks east, then 8 blocks south. What is its total displacement (magnitude and direction)?

A cannonball was shot upward from a 50 meter tower. The cannonball traveled a total x displacement of 100 meters in 5.5 seconds before hitting the ground. What was the initial velocity of the cannonball in both magnitude and direction, in unit vector notation?

The Antarctic expedition drives their snowmobiles 185 miles south from their camp. Then they turn and drive 70 miles west. Now it is time to return to camp. In what direction must they drive and will they make it on 190 miles worth of gas?

A riverboat took 2 hours to travel 24 km down a river with the current and 3 hours to make the return trip against the current. Find the speed of the boat in still water and the speed of the current.

As a city planner, you receive complaints from local residents about the safety of nearby roads and streets. One complaint concerns a stop sign at the corner of Pine Street and 1st Street. Residents complain that the speed limit in the area (55 mph) is too high to allow vehicles to stop in time. Under normal conditions this is not a problem, but when fog rolls in visibility can reduce to only 155 ft. Since fog is a common occurrence in this region, you decide to investigate. The state highway department states that the effective coefficient of friction between a rolling wheel and asphalt ranges between 0.689 and 0.770, whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt ranges between 0.450 and 0.617. Vehicles of all types travel on the road, from small VW bugs weighing 1210 lb to large trucks weighing 8640 lb. Considering that some drivers will brake properly when slowing down and others will skid to stop, calculate the minimum and maximum…

The river runs straight north-south with a current 4mph south. You paddle straight from west to east and your paddling speed is 3mph. Determine your actual speed and direction on a compass. (0 degrees is north, 90 degrees is east, etc.)

a) On an interstate highway in a rural region of Wyoming, a car is traveling at a speed of 38.0 m/s. Is the driver ?exceeding the speed limit of 75.0 mi/h b) What if the driver were from outside the United States and is familiar with speeds measured in kilometres per hour? What is the speed of the carin ?km/h

An airplane flies due north through the air at a speed of  75 m/s in a wind from the west at 10 m/s. What is the ground speed of the plane and what direction will it go?

Carol and Robin share a house. To get to work, Carol walks north 2.0 km while Robin drives west 7.5 km. How far apart are their workplaces?