2018­2019 vector applications day 2.notebook

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January 17, 2019

Vector Applications day 2

Objective:  Use vectors to solve real world problems. 

Bellwork:

1. Draw and state the angle in standard position.

a) a bearing of N15°E b) a bearing of S37°E

c) a bearing of N80°W

A bearing with a given direction is understood to start north and rotate clockwise.

2. Draw and state in standard position.

a) bearing of 120° b) bearing of 310° c) bearing of 14°

2018­2019 vector applications day 2.notebook

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January 17, 2019

3. Draw and solve

a) An airplane is flying on a bearing 170° of at 460 mph. Find the component form of the velocity of the airplane.

b) An airplane flies with a bearing of N59°W at 525 km/h. What is the component of the plane‛s velocity ?

c) A bear travels 70 miles in a northeasterly direction from his den. It then travels 150 miles 60 degrees north of west. Determine how far and in what direction the bear is from his den.

2018­2019 vector applications day 2.notebook

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January 17, 2019

4. Draw and solve.

a) A yacht is cruising at 20 knots at bearing of 185° when a 15 knot wind starts to blow at a bearing of 290°. Find the direction and speed of the boat.

b) An airplane is flying on a compass heading (bearing) of 170° at 460 mph. A wind is blowing with the bearing of 200°at 80 mph. Find the actual ground speed and direction of the airplane.

c) An airplane‛s velocity with respect to the air is 580 mph and it is headed N 58° W. The wind, at the altitude of the plane, is from the southwest and has a velocity of 60 mph. What are the resultant speed and direction of the airplane?

2018­2019 vector applications day 2.notebook

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January 17, 2019

Assignment

Vector Applications day 2 Draw and use vectors to solve.

1. To reach a final destination a pilot is plotting a course that will result in a velocity of 450 mph in a direction N60°W. There is a wind blowing at 50 mph from due south. Find the direction and the speed of the plane.

2. Two forces, one of 35 pounds and the other 50 pounds, act on the same object. The angle between the forces is 30°. Find the magnitude of the resultant vector of these two forces.

3. Lisa and Gina are pulling Aaron in his little red wagon. Gina pulls N 10° E with a force of 160 N (newtons). Lisa pulls N 30° W with a force of 190 N (newtons). What is the magnitude and direction of the resultant?

4. A plane is flying with a bearing of 160° and an air speed is 350 mph. If a west wind (which implies a wind from the west) is blowing at 20 mph, what are the resultant speed and direction of the airplane?

5. Of the following quantities, which are vectors? If it is, explain why. If it isn't, explain

why.(a) The speed of a car.(b) The velocity of a car.(c) How long it takes to do a physics assignment.(d) The magnitude of the force required to push a pumpkin o_ an abandoned overpass.(e) The acceleration of said pumpkin.

6. An airplane is headed N 30° W at a speed of 500 miles per hour. It encounters a wind with a velocity of 70 mph in the direction of N 45° E. What are the resultant speed and direction of the airplane?