Vector Application Problems

A vector is a ray with both ____________ and _____________.

• Arrows and Direction

• Space and time

• Direction and magnitude

• Angles and measurement

Find the resultant vector.

• <5, 3>

• <1, 7>

• <7, 1>

• <3, 5>

Write the vector from B to D...

• a

• -a

• b

• -b

What is the direction angle (in degrees) for a boat traveling

20° East of South?

• 160

• 70

• 340

• 290

A motorboat, which has a speed of 5 meters per second in still water, is headed east as it crosses a river flowing south at 3.3 meters per second. What is the approximate magnitude of the boat’s resultant velocity with respect to the starting point?

• 3.3 m/s

• 5.0 m/s

• 6.0 m/s

• 8.3 m/s

The president’s airplane, Air Force One, flies at 250 m/s to the east with respect to the air. The air is moving at 35 m/s to the north with respect to the ground. Find the velocity of Air Force One with respect to the ground.

• 252 m/s
• 222 m/s
• 435 m/s
• 125 m/s

The president’s airplane, Air Force One, flies at 250 m/s to the east with respect to the air. The air is moving at 35 m/s to the north with respect to the ground. Find the direction angle of Air Force One with respect to the ground.

• 81.45 degrees

• 7.96 degrees

• 82.03 degrees

• 80 degrees

An arrow is shot at an angle of 35° from horizontal at a velocity of 140 feet per second. What is the horizontal (h) component of the velocity vector?

• h = 114.68 fps
• h = 140 fps
• h = 80.30 fps
• h = 105 fps

An arrow is shot at an angle of 35° from horizontal at a velocity of 140 feet per second. What is the vertical (v) component of the velocity vector?

• h = 114.68 fps
• h = 140 fps
• h = 80.30 fps
• h = 105 fps

Given the magnitude & direction of the resultant, find the horizontal & vertical components.

• Horizontal 63.9
   Vertical 44.7
• Horizontal 7.3
   Vertical 34.2
• Horizontal -63.9
   Vertical 44.7
• Horizontal -7.3
   Vertical 34.2