Question

A: A bird watcher meanders through the woods, walking 0.30 km due east, 0.80 km due south, and 2.30 km in a direction 45.0° north of west. The time required for this trip is 4.00 h.

(a) Determine the magnitude and direction (relative to due west) of the bird watcher's displacement. Use kilometers and hours for distance and time, respectively.

(b) Determine the magnitude and direction (relative to due west) of the bird watcher's average velocity.

B: An airplane is flying with a velocity of 226 m/s at an angle of 30.0° with the horizontal, as the drawing shows. When the altitude of the plane is 2.1 km, a flare is released from the plane. The flare hits the target on the ground. What is the angle θ?

C: After leaving the end of a ski ramp, a ski jumper lands downhill at a point that is displaced 33 m horizontally from the end of the ramp. His velocity, just before landing, is 18.5 m/s and points in a direction 43° below the horizontal. Neglecting air resistance and any lift he experiences while airborne, find his initial velocity (magnitude and direction), when the he left the end of the ramp.

magnitude	m/s
direction	° counterclockwise from the positive x axis

Answer 1