Vectors pre-test and some extra practice problems.

1. Vectors Pre-Test
which way? by flickr user
aurevoirkatie

4. 26.604 N

6. (5) An airplane travels at a speed of 250 km/h in a direction 30° north of
west for one hour. It then travels at a speed of 300 km/h for 40 minutes
in a direction of 42° east of north. To return directly to its starting point,
in what direction and what distance must the airplane travel? Show all
work.
Use the back of this page to answer this question. Remember,
draw BIG diagrams.

8. Where Do I Want To Go?
A ship needs to travel in the
direction of 40°. The ship has a
speed of 20 knots in still water. A
current of six knots at 340° is
pushing the ship. Determine the
direction the ship is headed and
the magnitude of the ship's
resultant velocity.

9. An aircraft is flying at a rate of 600 km/h with a bearing of 60°. A
100 km/h wind is blowing in the direction of 270°. Calculate the
groundspeed and direction of the aircraft. Round your answer to
the nearest whole numbers.

10. A large black ant pulls a breadcrumb N32°E with a force of 0.03 N.
A small red ant pulls with a 0.045 N force in the direction E5°S.
Determine the magnitude and direction of the resultant force.
0.0644 N BEARING 70.48°
HOMEWORK

11. An airplane is flying with a heading of 150° and an airspeed of
550 mph. The airplane is flying through a jet stream which is
moving 175 mph with a heading of 80°. What is the velocity of
HOMEWORK
the airplane with respect to the ground?

12. The Parallelogram Method ...
We use the parallelogram method when the vectors are
arranged tail-to-tail.
5cm
Scale: 1 cm = 2 km
3cm
We find the quot;answerquot; by measuring the length of the resultant vector
and it's bearing using a ruler and protractor.
The length of the resultant vector often has to be converted to
appropriate units using the given scale.

13. You try ...
Add each pair of vectors using the parallelogram method.
Find Find
is 3 meters east is 3 meters southwest
is 4 meters north is 4 meters west

14. A ball is thrown horizontally against a wall with a velocity of 10 m/s.
It rebounds with a velocity that has a magnitude of 75% of the initial
velocity. Sketch two vectors to represent the two velocities.
Scale 1cm = 1m/s

15. Rhonda lives 5 km from Morris in a
SW direction. Travis lives 5 km SW
of Thompson. Are the two vector
quantities equal? Explain.

16. Two ropes suspend a crate with a weight of 800N. The force exerted
by one rope is 600N, directed to the left at an angle of 60° above the
horizontal. What force is exerted by the other rope to keep the crate
from moving?