Name:  _________________________________      Per:  ______     Date:  ___________

Vector Pretest  - Honors Physics

1.  A vector may be represented by:

a)  a point on a graph.

b)  an x and a y coordinate.

c)  a line of a given length.

d)  an arrow of a given length and direction.

e)  a trigonometric identity.

2.  Which of the following is an acceptable definition of a vector?

a)  The set of all possible rays of a given direction.

b)  The set of all points in space with a given set of ordered coordinates.

c)  The set of all line segments of a specified length.

d)  The set of all line segments of a specified direction.

e)  The set of all line segments of a specified length and direction.

3.  Which of the following statements is not true regarding vectors?

a)  A vector must be described by a magnitude and a direction.

b)  The magnitude of a vector is described by a scalar.

c)  A scalar and a vector are opposite in direction.

d)  The direction of a vector may be expressed by an angle.

e)  A vector may be expressed by x and y components.

4.  A ray may or may not represent a vector:

a)  may, because they are both represented by arrows.

b)  may not, because a ray is of infinite length.

c)  may not, because a vector is of infinite length.

d)  may not because a ray is of finite length.

e)  may because the direction of a ray and a vector is specified.

5.  The opposite of a vector it can be found by

a)  rotating it clockwise 90°.

b)  rotating it counterclockwise by 90°.

c)  taking the opposite the x and y components.

d)  the inverse tangent of the ratio of the y component to the x component.

e)  the square root of the some of the squares of the x and y components.

6.  Vectors may be represented in all of the following ways except:

a)  Magnitude and direction.

b)  x component and y component.

c)  the origin and starting coordinate.

d)  two ordered pairs for the start and end of the vector.

7.  A vector of magnitude 5.00 at 36.9º has an x component of magnitude:

a)  0.600

b)  0.800

c)  3.00

d)  4.00

e)  5.00

8.  A vector with an x component of 3.0 and a y component of 4.0 has a magnitude of

a)  0.75

b)  1.33

c)  3.0

d)  4.0

e)  5.0

9.  A vector with a magnitude of 10.0 and an angle of 53.1º has a y component of

a)  0.600

b)  0.800

c)  6.00

d)  8.00

e)  10.0

10.  A vector with an x component 0.500 and a y component of 0.866 an angle of:

a)  0.000º

b)  30.0º

c)  45.0º

d)  60.0º

e)  90.0º

11.  Vector A has a magnitude of 5 and vector B has a magnitude of 7.  Which of the following are possible resultant vector magnitudes and directions?

a)  -12

b)  -2

c)  2

d)  12

e)  35

12.  Vector A has a magnitude of 6.00 in the positive y direction and Vector B As a magnitude of 6.00 in the positive x direction.  What is the magnitude and direction of the resultant vector A+B?

a)  12.0 in the positive x direction.

b)  8.49 in the positive x direction.

c)  8.49 at 45°.

d)  12.0 at 45°.

e)  72.0 at 45°.

13.  Vector A has a magnitude of 6.00 in the positive y direction and Vector B As a magnitude of 8.00 in the positive x direction.  What is the magnitude and direction of the resultant vector A+B?

a)  14.0 in the positive x direction.

b)  10.0 in the positive x direction.

c)  10.0 at 36.9°.

d)  14.0 at 36.9°.

e)  10.0 at 53.1°.

14.  Vector A has a magnitude of 6.00 in the positive y direction and Vector B has a magnitude of 8.00 in the negative x direction.  What is the magnitude and direction of the resultant vector A+B?

a)  14.0 in the positive y direction.

b)  10.0 in the negative x direction.

c)  10.0 at 127°.

d)  14.0 at 143°.

e)  10.0 at 143°.

15.  Vector A has a magnitude of 6.00 in the negative y direction and Vector B As a magnitude of 8.00 in the positive x direction.  What is the magnitude and direction of the resultant vector A-B?

a)  2.00 at 180º.

b)  10.0 at -143.1º.

c)  10.0 at -36.9º.

d)  10.0 at 53.1º.

e)  10.0 at 36.9º.

16.  The magnitude of a vector is indicated on a graph by:

a)  The length of an arrow.

b)  The distance of the head of the arrow from the origin.

c)  The angle of the arrow with respect to the x axis.

d)  The distance of the tail of the arrow from the origin.

e)  The thickness of a line.

17.  Which of the following transformations leaves a vector unchanged?

a)  Rotation by 90º.

b)  Rotation by 180º.

c)  Translation by 5 in the positive y direction.

d)  Reflection about the x axis.

e)  Reflection about the y axis.

18.  If a vector A starting at (2,3), ending at (5,1), which of the following represents B = -A?

a)  B starting at (-2, -3)and ending at (-5, -1).

b)  B starting at (-5, -1)and ending at (-2, -3).

c)  B starting at (-2, -3)and ending at (5, 1).

d)  B starting at (3,2)and ending at (1, 5).

e)  B starting at (3,-2)and ending at (1, -5).

19.  Vectors A and B can be added graphically by:

a)  Graphing An arrow with length equal to the sum or difference of the lengths of the two vectors.

b)  The vector connecting the heads of the two vectors A and B.

c)  The vector connecting the tails of the two vectors A and B.

d)  Move the tail of B to the head of A; the resultant is from the tail of A to the head of B.

e)  Move the tail of -B to the head of A; the resultant is from the tail of A to the head of -B.

20.  Graphically, the sum or difference of two vectors is:

a)  An arrow with length equal to the sum or difference of the lengths of the two vectors.

b)  The vector connecting the heads of the two vectors.

c)  The vector connecting the tails of the two vectors.

d)  The diagonal of a rhombus, where A and B are the sides of the rhombus.

21.  If a tree casts an 8.00 m shadow when the sun is at 36.9º with respect to horizontal, how tall is the tree?

a)  0.600m

b)  6.00m

c)  8.00m

d)  10.0m

e)  10.7m

22.  If a boat rows 0.30 miles across a river with still water at a speed of 6.00 mph, how far down stream would the boat land if the river had a current of 8.00mph?

a)  10.0 miles

b)  8.00 miles

c)  0.500 miles

d)  0.400 miles

e)  0.300 miles

23.  If an airplane is flying at 500 mph parallel to a 100mph wind, which of the following speeds, to an observer on the ground, could the airplane be flying?

a)  400mph only

b)  500mph only

c)  600mph only

d)  Either b or c

e)  Either a or c

24.  If an airplane is flying at 500 mph due north on a still day, with  100mph westerly wind (pointing from the west toward the east), which of the following speeds, as seen by an observer on the ground, could the airplane be flying:

a)  100mph only

b)  500mph only

c)  510mph only

d)  600mph only

e)  Either c or d

25.  If an airplane is flying at 500 mph due north on a still day, with 150mph wind pointing toward the northeast (45º north of east), which of the following speeds, as seen by an observer on the ground, could the airplane be flying:

a)  350mph

b)  408mph

c)  500mph

d)  615mph

e)  650mph