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# Applied 40S May 4, 2009

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Vectors pre-test and some extra practice problems.

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### Applied 40S May 4, 2009

1. 1. Vectors Pre-Test which way? by ﬂickr user aurevoirkatie
2. 2. 26.604 N
3. 3. (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.
4. 4. 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.
5. 5. 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.
6. 6. 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
7. 7. 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?
8. 8. 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.
9. 9. 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
10. 10. 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
11. 11. Rhonda lives 5 km from Morris in a SW direction. Travis lives 5 km SW of Thompson. Are the two vector quantities equal? Explain.
12. 12. 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?