wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Vector Applications DE 8.3

Total questions: 18

Worksheet time: 1hrs 5mins

Name
Class
Date
1.

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.

a)

<530cos25,530sin25>

b)

<530 cos 115, 530 sin 115>

c)

<530sin65,530cos65>

d)

none of the above

2.

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

a)

236.456 km at 258o bearing

b)

236.456 km at 268o bearing

c)

236.456 km at 271o bearing

d)

The answer is not here

3.

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?

a)
170 m/s
b)
214 m/s
c)
226 m/s
d)
270 m/s
4.

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.

a)
252 m/s
b)
222 m/s
c)
435 m/s
d)
125 m/s
5.
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?
a)
3.3 m/s
b)
5.0 m/s
c)
6.0 m/s
d)
8.3 m/s
6.

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.

a)
Direction 267.0°
Magnitude 485.6mph
b)
Direction 93.0°
Magnitude 485.6mph
c)
Direction 237.0°
Magnitude 485.6mph
d)
Direction 87.0°
Magnitude 510.0mph
7.
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.
a)
Horizontal 18.9
 Vertical 7.2
b)
Horizontal 7.2
 Vertical 18.9
c)
Horizontal 15.2
 Vertical 9.6
d)
Horizontal 9.6
 Vertical 15.2
8.

A small plane is flying at a speed of 180 mph on a bearing of N 50°50\degree E. The wind is blowing to the east at 40 mph. Find the resultant speed and direciton of the airplane (as a quadrant bearing).

a)

Speed: 212.2 mph

Direction: N 57 E

b)

Speed 212.2 mph

Direction: E 33 S

c)

Speed: 212.2 mph

Direction: N 33 W

d)

Speed: 212.2 mph

Direction: N 33 E

9.

Two forces, one of 100 pounds and the other of 150 pounds, act on the same object at angles of 20°20\degree and 60°60\degree , respectively, with the positive x-axis. Find the direction (with respect to the positive x-axis) and magnitude of the resultant of these forces.

a)

Mag: 235.5

Direction: 187.2

b)

Mag: 235.5

Direction: 224.2

c)

Mag: 235.5

Direction: 44.2

d)

Mag: 235.5

Direction: 45.8

10.

A plane is traveling 350 mph at a true bearing of 160°160\degree . A wind is blowing to the east at a speed of 20 mph. What is the resultant speed and direction of the airplane (as a true bearing)?

a)

Speed: 357.33

Direction: 158.1

b)

Speed: 357.33

Direction: 23.1

c)

Speed: 357.33

Direction: 66.9

d)

Speed: 357.33 mph

Direction: 156.9

11.

Write the true bearing

a)

125°125\degree

b)

055°055\degree

c)

035°035\degree

d)

305°305\degree

12.

Choose the correct true bearing

a)

75°75\degree

b)

255°255\degree

c)

195°195\degree

d)

075°075\degree

13.

Choose the correct true bearing

a)

62°62\degree

b)

062°062\degree

c)

332°332\degree

d)

152°152\degree

14.

Convert true bearing 095° into quadrant bearing 

a)

S5°E

b)

S85°E

c)

N95°E

d)

E5°S

15.

Convert true bearing 040° into quadrant bearing 

a)

N40°E

b)

E50°N

c)

S140°E

d)

NE

16.

Convert true bearing 040° into quadrant bearing 

a)

N40°E

b)

E50°N

c)

S140°E

d)

NE

17.

Convert true bearing 262° into quadrant bearing 

a)

W8°S

b)

N82°W

c)

S82°W

d)

S72°W

18.

What is the bearing of 270° in compass terms?

a)

N (North)

b)

E (East)

c)

S (South)

d)

W (West)