Homework Questions
Applications
Navigation and Force
Navigation

Bearing: degrees from N (0°)
Quick Example
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Bearing of 100°
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Note: Knots (nautical mph)
Example 1
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A boat is traveling 35 knots for 2 hours at a bearing of
53° and then turns and travels 3 hours a ta bearing of
143°. Find the new bearing and the distance traveled.
Example 2

A boat is traveling at 20 knots for 3 hours at 80° and
turns and travels 15 knots for 2 hours at 170°. Find the
new bearing and distance traveled.
With vectors and Navigation
Example 3


𝑣
=< 𝑟 cos 𝜃, 𝑟 sin 𝜃 >
A plane is flying on a bearing of 65° at 500 mph. Find
the component form of the velocity of the airplane.
Example 4

A plane is flying on a bearing of 300° at 450 mph. Find
the component form.
Example 5


A plane is flying due North at 300 mph. There is a wind
coming from the NW at 10 mph. What is the ground
speed of the plane?
(ground speed is magnitude of resultant vector)
Example 6

If the same plane needs to head due north to reach its
destination, at what bearing must it set its course?
Example 7

An object weighing 50 lbs lies on an
inclined plane that makes a 400 angle with
the ground. Find the horizontal and
vertical force needed to push the object
up the incline.
Example 8

Do the same thing when the object
weights 200 lbs and the inclined plane
makes a 200 angle with the ground.
Example 9

One person is pulling on an object at an angle of 60°
with a force of 200 newtons. Another person is pulling
on the at an angle of 45° with a force of 120 newtons.
◦ A) What is the combined force on the object?
◦ B) At what angle is the object moving?
Example 9 cont…

B) At what angle is the object moving?
Homework
Pg 434 (17, 18, 25, 26)
 Pg 512 (30, 32, 41-43, 46, 48)
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