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Jogger Vector Question Using Cosine Law

Q: A jogger runs 100 m due west, then changes direction for the second leg of the run. At the end of the run, she is 175m away from the starting point at an angle of 15.0° north of west. What were the direction and length of her second displacement? Use graphical techniques.

. . . → Read More: Jogger Vector Question Using Cosine Law

Kinematics of a Fire Hose

Q: A fireman, 50.0 m away from a burning building, directs a stream of water from a ground level fire hose at an angle of 30.0° above the horizontal. If the speed of the stream as it leaves the hose is 40.0m/s, at what height will the stream of water strike the building?

A: . . . → Read More: Kinematics of a Fire Hose

Airplane Vectors, Using Trigonometry

Q: A commuter airplane starts from an airport and takes the route shown in Figure P3.17. It first flies to city A located at 175 km in a direction 30.0° north of east. Next, it flies 150 km 20.0° west of north to city B. Finally, it flies 190 km due west to city . . . → Read More: Airplane Vectors, Using Trigonometry

A car rolling off a cliff

Q: A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 24.0° below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline with a constant acceleration of 4.00 m/s2 for a . . . → Read More: A car rolling off a cliff