vector applications

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

An airplane traveling north at 220 meters per second encounters a 50.0-meters-per-second crosswind from west to east. Find the plane's velocity. Round to the nearest m/s.

• 170 m/s

• 214 m/s

• 226 m/s

• 270 m/s

A motorboat velocity is 20 km/h in still water. If the boat must travel straight to the nearest shore in a river whose current is 12 km/h, What up stream angle must the bow boat point at? (hints: you know the opposite and resultant sides of your right triangle here).

• 46 degrees upsteam
• 37 degrees upstream
• 22 degrees upstream
• 42 degrees upstream

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

• no solution

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

What is the net force?
100 N        230 N
<------        --------->

• 30 N to the right
• 230 N to the right
• 130 N to the right
• This is a balanced force

What is the x component of the vector given in the diagram?

• 77N
• 92N
• 120N
• 60N

Given the magnitude & direction of the resultant, find the horizontal & vertical components. Direction: 287° Magnitude: 422mph

• Horizontal -403.6
   Vertical 123.4
• Horizontal 123.4
  Vertical -403.6
• Horizontal 123.4
  Vertical 403.6
• Horizontal -123.4 
  Vertical -403.6