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This printable supports Common Core Mathematics Standard HSN-VM.A.3

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# ~Vectors - Word Problems (Grades 11-12)

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## ~Vectors - Word Problems

1.
An airplane pilot follows her compass straight north and maintains an air speed of 140 mph. A wind is blowing from the west at 20 mph. After 5 hours how far west will she have traveled?
1. 100 miles
2. 600 miles
3. -100 miles
4. -600 miles
2.
Jose leaves home riding his bike straight east for 3 km, turns south for .5 km, then west for 5 km, and finally north for 2 km. What are the vector components from his start to finish locations?
1. $<< -2, 1.5 >>$
2. $<< 8, 2.5 >>$
3. $<< -8, -2.5 >>$
4. $<< -2.5, 3 >>$
3.
Tom is on a train traveling west at 17 m/s. He decides to get a snack from the rear car so walks toward the car at a speed of 2 m/s. What is Tom's ground speed?
1. 15 m/s
2. 19 m/s
3. 8.5 m/s
4. 34 m/s
4.
Kumar is flying a glider over the prairies. His glider constantly sinks through the air at a rate 1 m/s. Kumar finds a thermal where the air is rising at a rate of 2.5 m/s. Compared to the glider the rising air is acting as a
1. positive vector.
2. neutral vector.
3. negative vector.
4. cross vector.
5.
Raylene is riding a sled down a hill traveling at 15 m/s. She turns around and throws a snowball back uphill at a velocity of 10 m/s. What is the ground speed of the snowball?
1. 150 m/s
2. 25 m/s
3. 5 m/s
4. 1.5 m/s
6.
An airplane pilot follows her compass straight north and maintains an air speed of 140 mph. A wind is blowing from the west at 20 mph. After 5 hours how far north will she have traveled?
1. 700 miles
2. 600 miles
3. 707 miles
4. 693 miles
7.
The cruising speed of a Boeing 767 in still air is 530 mi/h. Suppose a 767 cruising directly east encounters a 80 mi/h wind blowing 40 degrees south of west.

A) Sketch the vectors described.

B) Express the vectors as ordered pairs.

C) Find the sum of the vectors.

D) Find the magnitude and direction of the vector from part C.

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