Lesson 1 Quiz C
1.
Name_______________________________
This map shows the location of the Salmon King when its skipper decided to navigate to
Pirate’s Cove. The length of the route indicated on the map below is 9.0 nm and the
direction is 35 degrees.
a. If the vector representing the trip to Pirate’s cove is a, write each of the following vectors in
[r,θ], where r is the vector’s magnitude and its direction θ satisfies 0 <θ < 360.
I.
a
II.
.3a
III.
–a
IV.
3a
This map still shows the location of the Salmon King when its skipper decided to
navigate to Pirate’s Cove. The length of the route indicated on the map below is 9.0 nm
and direction 35 degrees. Suppose that as the Salmon King heads for Pirate’s Cove, a
strong wind blows at 0.4 knots in a direction of 200˚.
a. Find the components for the vector representing the Salmon King’s location
b. Find the components of the wind vector.
c. The skipper wants to be moving on a course toward Pirate’s Cove at about 9 knots,
using the wind to help her. What direction and speed should she set to account for the
wind and arrive at Pirate’s Cove as planned? Include a diagram in your explanation.
2.
Two tractors are pulling on a large tree stump, one with 1000 pounds of force and
direction 180˚, the other with 400 pounds of force and direction 135˚. Find the magnitude
and direction of the resultant force.
3.
Use the vectors described below to compute the magnitude and direction of the resultant
vector in each case. Show your work or explain your reasoning. You may use drawings
to help, but your answers must be found using trigonometry.
v has magnitude 7 cm and direction 25˚.
z has magnitude 5 cm and direction 150˚.
a. 2 v
b. v - z
c. 3v + z