Worksheets10 - Vectors
Total questions: 14
Worksheet time: 1hrs 10mins
Name
Class
Date
1.
Write in component form.
a)
<0, 4>
b)
<8, 2>
c)
<2, 8>
d)
<0, 2>
2.
Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).
a)
6
b)
8.2
c)
10
d)
10.4
3.
If w = <2, -5> and y = <2, 0>, find 2w + y
a)
<-10, 2>
b)
<4, -5>
c)
<-6, 10>
d)
<6, -10>
4.
If R = (-2, 5) and S = (2, -8). Find the component form and magnitude of 4 times the resultant vector RS.
a)
<-15, 0> : 15
b)
<16, 52> : 54.4
c)
<-16, -52> : 42.5
d)
<16, -52> : 54.4
5.
If k=<-1, 0, 7> and M=<3, -2, 5>, find ∥m+k∥ :
a)
13.23
b)
12
c)
144
d)
50+38
6.
John and Danny, own a strong and stubborn puppy named Dexter. It is so hard to take Dexter for a walk that they devise a scheme to use 2 leashes. If John and Danny pull with forces of 23 lbs and 27 lbs at the angles shown, how hard is Dexter pulling if the puppy holds the children at a standstill?
a)
50 lbs
b)
47.954 lbs
c)
48.073 lbs
d)
48.461 lbs
7.
What is the magnitude of the resulting force ?
a)
18.727 Newtons
b)
20 Newtons
c)
4 Newtons
d)
8.082 Newtons
8.
Find the magnitude of the resultant. Round to the nearest whole number.
a)
6
b)
7
c)
40
9.
Find the direction of the resultant.
a)
15
b)
76
c)
195
d)
256
10.
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.
a)
Direction 267.0°
Magnitude 485.6mph
Magnitude 485.6mph
b)
Direction 93.0°
Magnitude 485.6mph
Magnitude 485.6mph
c)
Direction 237.0°
Magnitude 485.6mph
Magnitude 485.6mph
d)
Direction 87.0°
Magnitude 510.0mph
Magnitude 510.0mph
11.
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
12.
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.
a)
252 m/s
b)
222 m/s
c)
435 m/s
d)
125 m/s
13.
A child walks 5 meters north, then 4 meters east, and finally 2 meters south. What is the magnitude of the resultant displacement of the child after the entire walk?
a)
1.0 m
b)
5.0 m
c)
3.0 m
d)
11.0 m
14.
An airplane traveling north at 220 meters per second encounters a 50.0-meters-per-second crosswind from west to east.
a)
170 m/s
b)
214 m/s
c)
226 m/s
d)
270 m/s
100 %
