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 direction angle of Air Force One with respect to the ground.

• 81.45 degrees

• 7.96 degrees

• 82.03 degrees

• no solution

Tags

NGSS.HS-PS2-1

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. (Think: would velocity be magnitude or direction angle?)

• 252 m/s

• 222 m/s

• 435 m/s

• 125 m/s

Tags

NGSS.HS-PS2-1

Find the magnitude of the resultant for the Force vectors given:
F₁ : magnitude = 60 lbs, θ = 80°
F₂ : magnitude = 80 lbs, θ = 20°

• 121.66 lbs
• <85.6, 86.5>
• 45.3°
• 140 lbs

Find the direction angle of the resultant for the Force vectors given:
F₁ : magnitude = 60 lbs, θ = 80°
F₂ : magnitude = 80 lbs, θ = 20°

• 121.66 lbs
• <85.6, 86.5>
• 45.3°
• 140 lbs

Find the component form of the resultant for the Force vectors given:
F₁ : magnitude = 60 lbs, θ = 80°
F₂ : magnitude = 80 lbs, θ = 20°

• 121.66 lbs
• <85.6, 86.5>
• 45.3°
• 140 lbs

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

Tags

CCSS.HSN.VM.A.3

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

FInd the direction angle (θ) for vector v. Round to three decimals.

• -74.054^o
• 105.945^o
• -15.945^o
• 164.055^o

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

Tags

NGSS.HS-PS2-1

An airplane flying due south (270°)  485 mph against a 25 mph wind blowing due west(180°). Determine the new speed and direction of the plane.

• Direction 267.0°
  Magnitude 485.6mph
• Direction 93.0°
  Magnitude 485.6mph
• Direction 237.0°
  Magnitude 485.6mph
• Direction 87.0°
  Magnitude 510.0mph