Module 8 Lesson 4: Quiz
Directions: Select the best solution
1. An airplane is flying on a bearing of 2180 at 389mph. Find the component form of
the velocity of the plane.
2. A hot-air balloon is moving on a bearing of 1560 at 38mph. Find the component
form of the velocity of the balloon.
3. A hot-air balloon is moving on a bearing of 2910 at 47mph. A wind is blowing with
the bearing of 2710 at 14mph. Find the component form of the velocity of the
balloon.
4. Another hot-air balloon has a component form of the velocity as <41.068,
55.341>. What is the ground speed of the balloon (in mph)?
5. An airplane has a ground speed of 567 mph and a component form of the velocity
of <-511.642, 44.108>, due to wind. What is the bearing of the plane?
6. I am playing croquet, and I when my mallet strikes the ball, I slip and the ball
moves up into the air at an angle of 180 with an initial speed of 4.7 feet per
second. What is the component form of the velocity?
7. A sled weighing 47 pounds (with children) is sliding down a hill which has an
incline of 300. What force is required to keep the sled from sliding down the hill?
8. Find the work done by a force F of 37 pounds acting in the direction <6,6> in
moving an object 11 feet from (0,0) to (11, 0).
Solutions: A is correct for all (set quiz to shuffle answers).
1
2
3
4
5
6
7
8
A
<-239.492, 306.536>
<15.456, 34.715>
<-57.876,
17.087>
68.914 mph
295.5290
<4.470, 1.452>
23.5
198√2 foot-pounds
B
<-306.536, 239.492>
<34.715, 15.456>
<-42.878,
16.843>
96.409 mph
25.5290
<1.452, 4.470>
-23.5
396 foot-pounds
C
<-218.664, 287.013>
<19.271, 39.268>
<-13.998, 0.244>
32.206 mph
154.4710
<17.939, 1.475>
47
285.014 footpounds
D
<-287.013, 218.664>
<39.268, 19.271>
<-29.880,
16.599>
9.819 mph
205.5290
<1.475, 17.939>
-47
66√2 foot pounds