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Vectors

Total questions: 10

Worksheet time: 22mins

Name
Class
Date
1.
Given the magnitude & direction of the resultant, find the horizontal & vertical components. Direction: 287° Magnitude: 422mph
a)
Horizontal -403.6
 Vertical 123.4
b)
Horizontal 123.4
Vertical -403.6
c)
Horizontal 123.4
Vertical 403.6
d)
Horizontal -123.4 
Vertical -403.6
2.
Given the magnitude & direction of the resultant, find the horizontal & vertical components.
a)
Horizontal 63.9
 Vertical 44.7
b)
Horizontal 7.3
 Vertical 34.2
c)
Horizontal -63.9
 Vertical 44.7
d)
Horizontal -7.3
 Vertical 34.2
3.
Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.
a)
〈-10,3〉
b)
〈-6,3〉
c)
〈10,11〉
d)
〈-6,-3〉
4.
Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.
a)
〈14,-13〉
b)
〈-14,13〉
c)
〈-40,-21〉
d)
〈40,-21〉
5.
Determine the direction and magnitude of the vector 〈7,18〉
a)
Direction 21.3°
Magnitude 19.3
b)
Direction 68.7°
Magnitude 19.3
c)
Direction 21.3°
Magnitude 373
d)
Direction 68.7°
Magnitude 373
6.
 Determine the direction and magnitude of the vector 〈-11,5〉
a)
Direction 24.4°
Vertical 12.1
b)
Direction65.6°
Magnitude 12.1
c)
Direction -24.4°
Magnitude 12.1
d)
Direction 155.6°
Magnitude 12.1
7.
Find the direction and magnitude of the resultant vector for the drawing of two forces.
a)
Direction 90°
Magnitude 139.0N
b)
Direction 52.3°
Magnitude 195N
c)
Direction 52.3°
Magnitude 139.0N
d)
Direction 37.7°
Magnitude 139.0N
8.
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
b)
Direction 93.0°
Magnitude 485.6mph
c)
Direction 237.0°
Magnitude 485.6mph
d)
Direction 87.0°
Magnitude 510.0mph
9.
Find the direction and magnitude of the resultant vector for the drawing of two forces.
a)
Direction 75.0°
Magnitude 221.8mph
b)
Direction 41.9°
Magnitude 233.3mph
c)
Direction 48.1°
Magnitude 233.3mph
d)
Direction 57.2°
Magnitude 238.6mph
10.
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