Question 1

A player kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory

Accepted Answer

A) both the velocity and the acceleration of the soccer ball are zero. 
B) neither the ball's velocity nor its acceleration are zero. 
C) the ball's acceleration is zero but its velocity is not zero. 
D) the ball's acceleration points upward. 
E) the ball's velocity points downward. 
A) both the velocity and the acceleration of the soccer ball are zero. 
B) neither the ball's velocity nor its acceleration are zero. 
C) the ball's acceleration is zero but its velocity is not zero. 
D) the ball's acceleration points upward. 
E) the ball's velocity points downward.

Question 2

The components of vectors $\overrightarrow { \mathrm { A } }$ and $\overrightarrow { \mathrm { B } }$ are given as follows: Ax = 7.6 Bx = -5.1
Ay = -9.2 By = -6.8
What is the magnitude of the vector difference $\overrightarrow { \mathrm { B } }$ - $\overrightarrow { \mathrm { A } }$ ?

Accepted Answer

A) 13 
B) 3.5 
C) 16 
D) 170 
E) 3.4 
A) 13 
B) 3.5 
C) 16 
D) 170 
E) 3.4

Question 3

An airplane with an airspeed of 140 km/h has a heading of 50° west of north in a wind that is blowing toward the east at 25 km/h. What is the groundspeed of the plane?

Accepted Answer

The answer of An airplane with an airspeed of 140...

Question 4

A batter hits a home run in which the ball travels 110 m horizontally with no appreciable air resistance. If the ball left the bat at 50° above the horizontal just above ground level, how fast was it hit?

Accepted Answer

The answer of A batter hits a home run in...

Question 5

Vector $\overrightarrow { \mathrm { A } }$ has a magnitude of 6.0 m and points 30° north of east. Vector $\overrightarrow { \mathrm { B } }$ has a magnitude of 4.0 m and points 30° east of north. The resultant vector $\overrightarrow { \mathrm { A } }$ + $\overrightarrow { \mathrm { B } }$ is given by

Accepted Answer

A) 0.70 m at an angle of 42° north of east. 
B) 14 m at an angle of 42° north of east. 
C) 1.1 m at an angle of 42° north of east. 
D) 9.7 m at an angle of 42° north of east. 
E) 2.0 m at an angle of 42° north of east. 
A) 0.70 m at an angle of 42° north of east. 
B) 14 m at an angle of 42° north of east. 
C) 1.1 m at an angle of 42° north of east. 
D) 9.7 m at an angle of 42° north of east. 
E) 2.0 m at an angle of 42° north of east.

Question 6

If a vector pointing upward has a positive magnitude, a vector pointing downward has a negative magnitude.

Accepted Answer

A) True 
 B)False

Question 7

Vector $\overrightarrow { \mathrm { A } }$ is along the +x-axis and vector $\overrightarrow { \mathrm { B } }$ is along the +y-axis. Which one of the following statements is correct with respect to these vectors?

Accepted Answer

A) The x component of vector $\overrightarrow { \mathrm { A } }$ is equal to the x component of vector $\overrightarrow { \mathrm { B } }$ . 
B) The y component of vector $\overrightarrow { \mathrm { A } }$ is equal to the y component of vector $\overrightarrow { \mathrm { B } }$ . 
C) The x component of vector $\overrightarrow { \mathrm { A } }$ is equal to the y component of vector $\overrightarrow { \mathrm { B } }$ . 
D) The y component of vector $\overrightarrow { \mathrm { A } }$ is equal to the x component of vector $\overrightarrow { \mathrm { B } }$ . 
A) The x component of vector $\overrightarrow { \mathrm { A } }$ is equal to the x component of vector $\overrightarrow { \mathrm { B } }$ . 
B) The y component of vector $\overrightarrow { \mathrm { A } }$ is equal to the y component of vector $\overrightarrow { \mathrm { B } }$ . 
C) The x component of vector $\overrightarrow { \mathrm { A } }$ is equal to the y component of vector $\overrightarrow { \mathrm { B } }$ . 
D) The y component of vector $\overrightarrow { \mathrm { A } }$ is equal to the x component of vector $\overrightarrow { \mathrm { B } }$ .

Question 8

An athlete participates in an interplanetary discus throw competition during an Olympiad that takes place on a planet where the acceleration due to gravity is 9.7 m/s2. He throws the discus with an initial velocity of 20 m/s at an angle of 60° from the vertical. Neglecting air resistance and the height of the discus at the point of release, what is the range of the discus?

Accepted Answer

A) 21 m 
B) 60 m 
C) 36 m 
D) 40 m 
E) 32 m 
A) 21 m 
B) 60 m 
C) 36 m 
D) 40 m 
E) 32 m

Question 9

The x and y components of a vector in a horizontal plane are 4.00 m and 3.00 m, respectively.
(a)What is the magnitude of this vector?
(b)What angle does this vector make with the positive +y-axis.

Accepted Answer

The answer of The x and y components of a...

Question 10

For general projectile motion with no air resistance, the vertical component of a projectile's acceleration

Accepted Answer

A) is always zero. 
B) remains a non-zero constant. 
C) continuously increases. 
D) continuously decreases. 
E) first decreases and then increases. 
A) is always zero. 
B) remains a non-zero constant. 
C) continuously increases. 
D) continuously decreases. 
E) first decreases and then increases.

Question 11

Vector $\overrightarrow { \mathrm { A } }$ has a magnitude of 8.0 m and points 30° north of east; vector $\overrightarrow { \mathrm { B } }$ has a magnitude of 6.0 m and points 30° west of north; and vector $\overrightarrow { \mathrm { C } }$ has a magnitude of 5.0 m and points 30° west of south. The resultant vector $\overrightarrow { \mathrm { A } }$ + $\overrightarrow { \mathrm { B } }$ + $\overrightarrow { \mathrm { C } }$ is given by

Accepted Answer

A) 2.7 m at an angle 74° north of east. 
B) 5.9 m at an angle 74° north of east. 
C) 4.8 m at an angle 74° east of north. 
D) 5.1 m at an angle 74° north of east. 
E) 2.1 m at an angle 66° east of north. 
A) 2.7 m at an angle 74° north of east. 
B) 5.9 m at an angle 74° north of east. 
C) 4.8 m at an angle 74° east of north. 
D) 5.1 m at an angle 74° north of east. 
E) 2.1 m at an angle 66° east of north.

Question 12

A projectile is fired from ground level with an initial speed of 55.6 m/s at an angle of 41.2° above the horizontal. Neglect air resistance, take upward as the positive direction, and use g = 9.8 m/s2.
(a)Determine the time necessary for the projectile to reach its maximum height.
(b)Determine the maximum height reached by the projectile.
(c)Determine the horizontal and vertical components of the velocity vector at the maximum height.
(d)Determine the horizontal and vertical components of the acceleration vector at the maximum height.

Accepted Answer

(a)3.7 s (b)68 m (c)

Question 13

An airplane undergoes the following displacements, all at the same altitude: First, it flies $59.0 \mathrm {~km}$ in a direction 30.0° east of north. Next, it flies $58.0 \mathrm {~km}$ due south. Finally, it flies $100 \mathrm {~km}$ 30.0° north of west. Use components to determine how far the airplane ends up from its starting point.

Accepted Answer

A) 71.5 km 
B) 73.0 km 
C) 74.4 km 
D) 70.1 km 
E) 68.7 km 
A) 71.5 km 
B) 73.0 km 
C) 74.4 km 
D) 70.1 km 
E) 68.7 km

Question 14

Vectors $\overrightarrow { \mathbf { M } }$ and $\overrightarrow { \mathrm { N } }$ obey the equation $\overrightarrow { \mathbf { M } }$ + $\overrightarrow { \mathrm { N } }$ = 0. These vectors satisfy which one of the following statements?

Accepted Answer

A) Vectors $\overrightarrow { \mathbf { M } }$ and $\overrightarrow { \mathrm { N } }$ are at right angles to each other. 
B) Vectors $\overrightarrow { \mathbf { M } }$ and $\overrightarrow { \mathrm { N } }$ point in the same direction. 
C) Vectors $\overrightarrow { \mathbf { M } }$ and $\overrightarrow { \mathrm { N } }$ have the same magnitudes. 
D) The magnitude of $\overrightarrow { \mathbf { M } }$ is the negative of the magnitude of $\overrightarrow { \mathrm { N } }$ . 
A) Vectors $\overrightarrow { \mathbf { M } }$ and $\overrightarrow { \mathrm { N } }$ are at right angles to each other. 
B) Vectors $\overrightarrow { \mathbf { M } }$ and $\overrightarrow { \mathrm { N } }$ point in the same direction. 
C) Vectors $\overrightarrow { \mathbf { M } }$ and $\overrightarrow { \mathrm { N } }$ have the same magnitudes. 
D) The magnitude of $\overrightarrow { \mathbf { M } }$ is the negative of the magnitude of $\overrightarrow { \mathrm { N } }$ .

Question 15

Sarah drives at a constant speed of 15 m/s around a circular horizontal curve of diameter 60 m. What are the magnitude and direction of her acceleration?

Accepted Answer

7.5 m/s² to

Question 16

An airplane with an airspeed of 120 km/h has a heading of 30° east of north in a wind that is blowing toward the west at 30 km/h. What is the speed of the plane relative to the ground?

Accepted Answer

A) 90 km/h 
B) 110 km/h 
C) 140 km/h 
D) 150 km/h 
A) 90 km/h 
B) 110 km/h 
C) 140 km/h 
D) 150 km/h

Question 17

A disk-shaped space station 125 m in diameter spins at a uniform rate about an axis through its center and perpendicular to the plane of the disk. If the acceleration of a point on the rim of the disk is to be equal to g, how long does it take for the station to make one revolution? Use g = 9.8 m/s2.

Accepted Answer

Question 18

You are trying to cross a river that flows toward the south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

Accepted Answer

A) directly toward the west. 
B) directly toward the north. 
C) in a general southwesterly direction. 
D) in a general northwesterly direction. 
A) directly toward the west. 
B) directly toward the north. 
C) in a general southwesterly direction. 
D) in a general northwesterly direction.

Question 19

Vector $\overrightarrow { \mathrm { A } }$ has a magnitude of 6.0 m and points 30° east of south. Vector $\overrightarrow { \mathrm { B } }$ has a magnitude of 4.0 m and points 30° west of north. The resultant vector $\overrightarrow { \mathrm { A } }$ + $\overrightarrow { \mathrm { B } }$ is given by

Accepted Answer

A) 2.0 m at an angle of 30° north of west. 
B) 2.0 m at an angle of 30° east of south. 
C) 10.0 m at an angle of 60° north of west. 
D) 10.0 m at an angle of 60° east of south. 
E) 1.0 m at an angle of 60° north of west. 
A) 2.0 m at an angle of 30° north of west. 
B) 2.0 m at an angle of 30° east of south. 
C) 10.0 m at an angle of 60° north of west. 
D) 10.0 m at an angle of 60° east of south. 
E) 1.0 m at an angle of 60° north of west.

Question 20

When rolled down a mountainside at 7.0 m/s, the horizontal component of its velocity vector was 1.8 m/s. What was the angle of the mountain surface above the horizontal?

Accepted Answer

A) 75° 
B) 57 ° 
C) 33° 
D) 15° 
A) 75° 
B) 57 ° 
C) 33° 
D) 15°

Exam 3: Vectors and Motion in Two Dimensions

A player kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory

The components of vectors A→\overrightarrow { \mathrm { A } }A and B→\overrightarrow { \mathrm { B } }B are given as follows: Ax = 7.6 Bx = -5.1 Ay = -9.2 By = -6.8 What is the magnitude of the vector difference B→\overrightarrow { \mathrm { B } }B - A→\overrightarrow { \mathrm { A } }A ?

An airplane with an airspeed of 140 km/h has a heading of 50° west of north in a wind that is blowing toward the east at 25 km/h. What is the groundspeed of the plane?

A batter hits a home run in which the ball travels 110 m horizontally with no appreciable air resistance. If the ball left the bat at 50° above the horizontal just above ground level, how fast was it hit?

If a vector pointing upward has a positive magnitude, a vector pointing downward has a negative magnitude.

Vector A→\overrightarrow { \mathrm { A } }A is along the +x-axis and vector B→\overrightarrow { \mathrm { B } }B is along the +y-axis. Which one of the following statements is correct with respect to these vectors?

The x and y components of a vector in a horizontal plane are 4.00 m and 3.00 m, respectively. (a)What is the magnitude of this vector? (b)What angle does this vector make with the positive +y-axis.

For general projectile motion with no air resistance, the vertical component of a projectile's acceleration

Vectors M→\overrightarrow { \mathbf { M } }M and N→\overrightarrow { \mathrm { N } }N obey the equation M→\overrightarrow { \mathbf { M } }M + N→\overrightarrow { \mathrm { N } }N = 0. These vectors satisfy which one of the following statements?

Sarah drives at a constant speed of 15 m/s around a circular horizontal curve of diameter 60 m. What are the magnitude and direction of her acceleration?

An airplane with an airspeed of 120 km/h has a heading of 30° east of north in a wind that is blowing toward the west at 30 km/h. What is the speed of the plane relative to the ground?

You are trying to cross a river that flows toward the south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

When rolled down a mountainside at 7.0 m/s, the horizontal component of its velocity vector was 1.8 m/s. What was the angle of the mountain surface above the horizontal?

Representing Motion

Motion in One Dimension

Forces and Newtons Laws of Motion

Applying Newtons Laws

Gravity

Rotational Motion

Equilibrium Ad Elasticity

Momentum

Energy and Work

Using Energy

Thermal Properties of Matter

Fluids

Oscillations

Traveling Waves and Sound

Superposition and Standing Waves

Wave Optics

Ray Optics

Optical Instruments

Electric Fields and Forces

Electric Potential

Current and Resistance

Circuits

Magnetic Fields and Forces

Em Induction and Em Waves

Ac Electricity

Relativity

Quantum Physics

Atoms and Molecules

Nuclear Physics

Filters

The components of vectors $\overrightarrow { \mathrm { A } }$ and $\overrightarrow { \mathrm { B } }$ are given as follows: A_x = 7.6 B_x = -5.1 A_y = -9.2 B_y = -6.8 What is the magnitude of the vector difference $\overrightarrow { \mathrm { B } }$ - $\overrightarrow { \mathrm { A } }$ ?

Vector $\overrightarrow { \mathrm { A } }$ is along the +x-axis and vector $\overrightarrow { \mathrm { B } }$ is along the +y-axis. Which one of the following statements is correct with respect to these vectors?

Vectors $\overrightarrow { \mathbf { M } }$ and $\overrightarrow { \mathrm { N } }$ obey the equation $\overrightarrow { \mathbf { M } }$ + $\overrightarrow { \mathrm { N } }$ = 0. These vectors satisfy which one of the following statements?