Question 1

Vector  = -3.00  + 3.00  and vector  = 3.00  + 4.00  . What is vector  =  +  ?

Accepted Answer

A) 0.00  + 3.00
 
B) 7.00  + 7.00
 
C) -3.00  + 7.00
 
D) 0.00  + 7.00
 
E) -3.00  + -3.00

Question 2

If  -  =  and A-B=C, then the vectors  and  are oriented perpendicular relative to one other.

Accepted Answer

A) True 
 B)False

Question 3

A ball is thrown at a 30.0° angle above the horizontal across level ground. It is released from a height of 2.00 m above the ground with a speed of 18.0 m/s. How far does the ball travel horizontally before it strikes the ground?

Accepted Answer

A) 28.6 m 
B) 24.0 m 
C) 26.5 m 
D) 10.5 m 
E) 31.7 m

Question 4

A car is moving with a velocity (3.0 m/s)x + (1.0 m/s)y and 2.5 seconds later its velocity is (6.0 m/s)x - (3.0 m/s)y. What is the magnitude of the average acceleration of the car?

Accepted Answer

A) 0.82 m/s2 
B) 1.6 m/s2 
C) 2.0 m/s2 
D) 4.5 m/s2 
E) 6.2 m/s2

Question 5

Vector  = 4.0 m points eastward and vector  = 3.0 m points westward. The resultant vector  +  is given by

Accepted Answer

A) 7.0 m east. 
B) 7.0 m west. 
C) 1.0 m east. 
D) 1.0 m west. 
E) 3.5 m west.

Question 6

Refer to Fig. 3-2. Vector  as expressed in terms of vectors  and  is given by

Accepted Answer

A)   +
 . 
B)   -
 . 
C)   . 
D)   . 
E) None of the other choices is correct.

Question 7

Vector  = 2.00  + -1.00  and vector  = 3.00  + 4.00  . What is vector  =  -  ?

Accepted Answer

A) 1.00  + 5.00
 
B) 1.00  + 3.00
 
C) -1.00  + -3.00
 
D) -1.00  + 3.00
 
E) -1.00  + -5.00

Question 8

An Olympic athlete throws a javelin at four different angles above the horizontal, each with the same speed: 30°, 40°, 60°, and 80°. Which two throws cause the javelin to land the same distance away?

Accepted Answer

A) 30° and 80° 
B) 40° and 60° 
C) 30° and 40° 
D) 40° and 80° 
E) 30° and 60°

Question 9

FIGURE 3-2 
-Refer to Fig. 3-2. Vector  as expressed in terms of vectors  and  is given by

Accepted Answer

A)   +
 . 
B)   -
 . 
C)   . 
D)   . 
E) None of the other choices is correct.

Question 10

Under what condition is  =  -  ?

Accepted Answer

A) The statement is always true. 
B) Vectors  and
 are in opposite directions. 
C) Vectors  and
 are in perpendicular directions. 
D) The statement is never true. 
E) Vectors  and
 are in the same direction.

Question 11

Under what condition is  =  +  ?

Accepted Answer

A) The magnitude of vector  is zero. 
B) Vectors  and
 are in opposite directions. 
C) Vectors  and
 are in the same direction. 
D) Vectors  and
 are in perpendicular directions. 
E) both A and B

Question 12

If  -  =0, then the vectors  and  have equal magnitudes and are directed in the same direction.

Accepted Answer

A) True 
 B)False

Question 13

FIGURE 3-1 
-Refer to Fig. 3-1. The components of vectors  and  are

Accepted Answer

A) Ax = 0 Bx = B sin 30° Ay = 0 By = B cos30°. 
B) Ax = A sin90° Bx = B cos60° Ay = A cos90° By = B sin60°. 
C) Ax = A cos0° Bx = -B cos60° Ay = A cos90° By = B cos30°. 
D) Ax = A cos90° Bx = B sin60° Ay = A sin90° By = B cos60°. 
E) Ax = A cos90° Bx = 0 Ay = A sin90° By = 0

Question 14

Vector  = 3.00  + -1.00  and vector  = 3.00  + 4.00  . What is vector  = 2.00  + 3.00  ?

Accepted Answer

A) 3.00  + 6.00
 
B) 5.00  + 1.00
 
C) -3.00  + 9.00
 
D) 15.0  + 10.0
 
E) 2.00  + 3.00

Question 15

For general projectile motion, the horizontal component of a projectile's acceleration

Accepted Answer

A) is zero. 
B) remains a non-zero constant. 
C) continuously increases. 
D) continuously decreases. 
E) any of the above, depending on position.

Question 16

When a football in a field goal attempt reaches its maximum height, how does its speed compare to its initial speed?

Accepted Answer

A) It is zero. 
B) It is less than its initial speed. 
C) It is equal to its initial speed. 
D) It is greater than its initial speed. 
E) Cannot be determined without additional information.

Question 17

If  +  =  and A+B=C, then the vectors  and  are oriented perpendicular relative to one other.

Accepted Answer

A) True 
 B)False

Question 18

FIGURE 3-3 
-Vector  = 6.0 m and points 30° north of east. Vector  = 4.0 m and points 30° south of west. The resultant vector  +  is given by

Accepted Answer

A) 2.0 m at an angle 30° north of east. 
B) 2.0 m at an angle 60° north of east. 
C) 10.0 m at an angle 60° east of north. 
D) 10.0 m at an angle 30° north of east. 
E) 10.0 m at an angle 60° north of east.

Question 19

A car moves from the point (3.0 m)x + (5.0 m)y to the point (8.0 m)x - (7.0 m)y in 2.0 s. What is the magnitude of the average velocity of the car?

Accepted Answer

A) 6.5 m/s 
B) 13 m/s 
C) 9.0 m/s 
D) 4.5 m/s 
E) 3.3 m/s

Question 20

A hockey puck slides off the edge of a table with an initial velocity of 20.0 m/s. The height of the table above the ground is 2.0 m. What is the magnitude of the vertical component of the velocity of the puck just before it hits the ground?

Accepted Answer

A) 20.0 m/s 
B) 6.26 m/s 
C) 12.5 m/s 
D) 19.6 m/s 
E) 21 m/s

Exam 3: Kinematics in Two or Three Dimensions; Vectors

Vector = -3.00 + 3.00 and vector = 3.00 + 4.00 . What is vector = + ?

If - = and A-B=C, then the vectors and are oriented perpendicular relative to one other.

A ball is thrown at a 30.0° angle above the horizontal across level ground. It is released from a height of 2.00 m above the ground with a speed of 18.0 m/s. How far does the ball travel horizontally before it strikes the ground?

A car is moving with a velocity (3.0 m/s) ^x + (1.0 m/s) ^y and 2.5 seconds later its velocity is (6.0 m/s) ^x - (3.0 m/s) ^y. What is the magnitude of the average acceleration of the car?

Vector = 4.0 m points eastward and vector = 3.0 m points westward. The resultant vector + is given by

Refer to Fig. 3-2. Vector as expressed in terms of vectors and is given by

Vector = 2.00 + -1.00 and vector = 3.00 + 4.00 . What is vector = - ?

An Olympic athlete throws a javelin at four different angles above the horizontal, each with the same speed: 30°, 40°, 60°, and 80°. Which two throws cause the javelin to land the same distance away?

FIGURE 3-2 -Refer to Fig. 3-2. Vector as expressed in terms of vectors and is given by

Under what condition is = - ?

Under what condition is = + ?

If - =0, then the vectors and have equal magnitudes and are directed in the same direction.

FIGURE 3-1 -Refer to Fig. 3-1. The components of vectors and are

Vector = 3.00 + -1.00 and vector = 3.00 + 4.00 . What is vector = 2.00 + 3.00 ?

For general projectile motion, the horizontal component of a projectile's acceleration

When a football in a field goal attempt reaches its maximum height, how does its speed compare to its initial speed?

If + = and A+B=C, then the vectors and are oriented perpendicular relative to one other.

FIGURE 3-3 -Vector = 6.0 m and points 30° north of east. Vector = 4.0 m and points 30° south of west. The resultant vector + is given by

A car moves from the point (3.0 m) ^x + (5.0 m) ^y to the point (8.0 m) ^x - (7.0 m) ^y in 2.0 s. What is the magnitude of the average velocity of the car?

A hockey puck slides off the edge of a table with an initial velocity of 20.0 m/s. The height of the table above the ground is 2.0 m. What is the magnitude of the vertical component of the velocity of the puck just before it hits the ground?

Exam 3: Kinematics in Two or Three Dimensions; Vectors

Vector = -3.00 + 3.00 and vector = 3.00 + 4.00 . What is vector = + ?

If - = and A-B=C, then the vectors and are oriented perpendicular relative to one other.

A ball is thrown at a 30.0° angle above the horizontal across level ground. It is released from a height of 2.00 m above the ground with a speed of 18.0 m/s. How far does the ball travel horizontally before it strikes the ground?

A car is moving with a velocity (3.0 m/s) x + (1.0 m/s) y and 2.5 seconds later its velocity is (6.0 m/s) x - (3.0 m/s) y. What is the magnitude of the average acceleration of the car?

Vector = 4.0 m points eastward and vector = 3.0 m points westward. The resultant vector + is given by

Refer to Fig. 3-2. Vector as expressed in terms of vectors and is given by

Vector = 2.00 + -1.00 and vector = 3.00 + 4.00 . What is vector = - ?

An Olympic athlete throws a javelin at four different angles above the horizontal, each with the same speed: 30°, 40°, 60°, and 80°. Which two throws cause the javelin to land the same distance away?

FIGURE 3-2 -Refer to Fig. 3-2. Vector as expressed in terms of vectors and is given by

Under what condition is = - ?

Under what condition is = + ?

If - =0, then the vectors and have equal magnitudes and are directed in the same direction.

FIGURE 3-1 -Refer to Fig. 3-1. The components of vectors and are

Vector = 3.00 + -1.00 and vector = 3.00 + 4.00 . What is vector = 2.00 + 3.00 ?

For general projectile motion, the horizontal component of a projectile's acceleration

When a football in a field goal attempt reaches its maximum height, how does its speed compare to its initial speed?

If + = and A+B=C, then the vectors and are oriented perpendicular relative to one other.

FIGURE 3-3 -Vector = 6.0 m and points 30° north of east. Vector = 4.0 m and points 30° south of west. The resultant vector + is given by

A car moves from the point (3.0 m) x + (5.0 m) y to the point (8.0 m) x - (7.0 m) y in 2.0 s. What is the magnitude of the average velocity of the car?

A hockey puck slides off the edge of a table with an initial velocity of 20.0 m/s. The height of the table above the ground is 2.0 m. What is the magnitude of the vertical component of the velocity of the puck just before it hits the ground?

A car is moving with a velocity (3.0 m/s) ^x + (1.0 m/s) ^y and 2.5 seconds later its velocity is (6.0 m/s) ^x - (3.0 m/s) ^y. What is the magnitude of the average acceleration of the car?

A car moves from the point (3.0 m) ^x + (5.0 m) ^y to the point (8.0 m) ^x - (7.0 m) ^y in 2.0 s. What is the magnitude of the average velocity of the car?