A skydiver falls at a constant downward velocity of 120 miles per hour. In the figure, vector u represents the skydiver's velocity. A steady breeze pushes the skydiver to the east at 40 miles per hour. Vector v represents the wind velocity.

(a) Write the vectors u and v in component form.
(b) Let s = u + v.
Use the figure to sketch s. To print an enlarged copy of the graph, go to MathGraphs.com.
(c) Find the magnitude of s. What information does the magnitude give you about the skydiver's fall?
(d) Without wind, the skydiver would fall in a path perpendicular to the ground. At what angle to the ground is the path of the skydiver when affected by the 40-mile-per-hour wind from due west?
(e) The next day, the skydiver falls at a constant downward velocity of 120 miles per hour and a steady breeze pushes the skydiver to the west at 30 miles per hour. Draw a new figure that gives a visual representation of the problem and find the skydiver's new velocity.

Transcribed Image Text:

Up 140 120 100 80 + 60 40 20 ++►E 60 - 20 20 40 Down