Vector Applications DE 8.3

An airplane is flying on a bearing of N 25° W at 530 mph. which is the velocity of the plane in the form of a vector.

• <530cos25,530sin25>

• <530 cos 115, 530 sin 115>

• <530sin65,530cos65>

• none of the above

Tags

CCSS.HSN.VM.A.3

A ship travels 100 km due west from port and then changes course going W 20° S for 140 km. Find the distance the ship is from its home port and the bearing (as a true bearing) of the ship from the port

• 236.456 km at 258^o bearing

• 236.456 km at 268^o bearing

• 236.456 km at 271^o bearing

• The answer is not here

An airplane traveling north at 220 meters per second encounters a 50.0-meters-per-second crosswind from west to east. What is the resultant velocity?

• 170 m/s
• 214 m/s
• 226 m/s
• 270 m/s

Tags

CCSS.HSN-VM.B.4C

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

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

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

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 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

Tags

CCSS.HSN.VM.A.3

An airplane is flying due south at 485 mph against a 25 mph wind blowing due west. Determine the new speed and direction of the plane (with respect to positive x-axis.

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

George Washington throws a baseball with an initial velocity of 20.2 feet per second at an angle of 69° with the horizontal.  Find the initial vertical and horizontal velocity of the ball.

• Horizontal 18.9
   Vertical 7.2
• Horizontal 7.2
   Vertical 18.9
• Horizontal 15.2
   Vertical 9.6
• Horizontal 9.6
   Vertical 15.2

Tags

CCSS.HSN.VM.A.3

• Speed: 212.2 mph

  Direction: N 57 E

• Speed 212.2 mph

  Direction: E 33 S

• Speed: 212.2 mph

  Direction: N 33 W

• Speed: 212.2 mph

  Direction: N 33 E

• Mag: 235.5

  Direction: 187.2

• Mag: 235.5

  Direction: 224.2

• Mag: 235.5

  Direction: 44.2

• Mag: 235.5

  Direction: 45.8

• Speed: 357.33

  Direction: 158.1

• Speed: 357.33

  Direction: 23.1

• Speed: 357.33

  Direction: 66.9

• Speed: 357.33 mph

  Direction: 156.9