Question 1

A golfer drives her ball from the tee down the fairway in a high arcing shot. When the ball is at the highest point of its flight,

Accepted Answer

A)  its velocity and acceleration are both zero. 
B)  its velocity is zero but its acceleration is nonzero. 
C)  its velocity is nonzero but its acceleration is zero. 
D)  its velocity and acceleration are both nonzero. 
E)  Insufficient information is given to answer correctly. 
A)  its velocity and acceleration are both zero. 
B)  its velocity is zero but its acceleration is nonzero. 
C)  its velocity is nonzero but its acceleration is zero. 
D)  its velocity and acceleration are both nonzero. 
E)  Insufficient information is given to answer correctly. D

Question 2

The figure represents the parabolic trajectory of a ball going from a to e in Earth gravity but without air resistance. The initial velocity of the ball is Vo at an angle $\theta$ to the horizon. The vertical dashed lines represent equal time interval, $\Delta$t. Consider UP as the positive direction.   The vertical velocity at point c is [Note: g = 9.81 m/s2)]

Accepted Answer

A)  Vo cos $\theta$). 
B)  Vo cos $\theta$) - ½ g 3$\Delta$t)2. 
C)  Vo sin $\theta$) - ½ g 3$\Delta$t)2. 
D)  0. 
E)  Vo cos $\theta$) + ½ g 3$\Delta$t)2. 
A)  Vo cos $\theta$). 
B)  Vo cos $\theta$) - ½ g 3$\Delta$t)2. 
C)  Vo sin $\theta$) - ½ g 3$\Delta$t)2. 
D)  0. 
E)  Vo cos $\theta$) + ½ g 3$\Delta$t)2. A

Question 3

Vectors   ,   , and   have the following components, expressed in arbitrary units:   Vector   is defined so that   = 0 The magnitude and direction of   relative to the positive x axis are

Accepted Answer

A)  7.6 units at -26º. 
B)  7.6 units at 154º. 
C)  14 units at 26º. 
D)  3.5 units at 29º. 
E)  10 units at 29º. 
A)  7.6 units at -26º. 
B)  7.6 units at 154º. 
C)  14 units at 26º. 
D)  3.5 units at 29º. 
E)  10 units at 29º. B

Question 4

The magnitude of the displacement of a particle is _______ the distance the particle has traveled.

Accepted Answer

A)  larger than 
B)  smaller than 
C)  either larger or smaller than 
D)  the same as 
E)  smaller than or equal to 
A)  larger than 
B)  smaller than 
C)  either larger or smaller than 
D)  the same as 
E)  smaller than or equal to

Question 5

A particle initially moving at 4.0 m/s along the y-axis is uniformly accelerated at 3.0 m/s2 along the x-axis for 2.0 s. The final speed of the particle is

Accepted Answer

A)  -2.0 m/s. 
B)  7.2 m/s. 
C)  6.0 m/s. 
D)  10 m/s. 
E)  None of these is correct. 
A)  -2.0 m/s. 
B)  7.2 m/s. 
C)  6.0 m/s. 
D)  10 m/s. 
E)  None of these is correct.

Question 6

Vector   has components Ax = +4.0 units and Ay = +3.2 units, whereas vector   has components Bx = +2.5 units and By = +5.5 units. The angle between the two vectors is

Accepted Answer

A)  24º. 
B)  65º. 
C)  27º. 
D)  39º. 
E)  14º. 
A)  24º. 
B)  65º. 
C)  27º. 
D)  39º. 
E)  14º.

Question 7

A car is at position x1, y1) = 4 m, 5 m) at time t1 = 1 s. If 10 seconds later the car moving in a straight line is at position x2, y2) = 204 m, 305 m), calculate the magnitude of the average velocity during this interval.

Accepted Answer

A)  36.1 m/s 
B)  32.8 m/s 
C)  36.7 m/s 
D)  50.0 m/s 
E)  40.1 m/s 
A)  36.1 m/s 
B)  32.8 m/s 
C)  36.7 m/s 
D)  50.0 m/s 
E)  40.1 m/s

Question 8

The figure represents the parabolic trajectory of a ball going from a to e in Earth gravity but without air resistance. The initial velocity of the ball is Vo at an angle $\theta$ to the horizon. The vertical dashed lines represent equal time interval, $\Delta$t. Consider "up" as the positive direction.   The vertical velocity at point b is [Note: g = 9.81 m/s2)]

Accepted Answer

A)  0. 
B)  Vo cos $\theta$) - ½ g 2$\Delta$t)2. 
C)  Vo sin $\theta$) - ½ g 2$\Delta$t)2. 
D)  Vo sin$\theta$) + ½ g 2$\Delta$t)2. 
E)  Vo cos $\theta$) + ½ g 2$\Delta$t)2. 
A)  0. 
B)  Vo cos $\theta$) - ½ g 2$\Delta$t)2. 
C)  Vo sin $\theta$) - ½ g 2$\Delta$t)2. 
D)  Vo sin$\theta$) + ½ g 2$\Delta$t)2. 
E)  Vo cos $\theta$) + ½ g 2$\Delta$t)2.

Question 9

The components of a vector

Accepted Answer

A)  are not unique. 
B)  depend on the axes chosen. 
C)  can have one of the components equal to zero. 
D)  can be negative. 
E)  All are correct. 
A)  are not unique. 
B)  depend on the axes chosen. 
C)  can have one of the components equal to zero. 
D)  can be negative. 
E)  All are correct.

Question 10

The components of a vector   are Ax = -10 units and Ay = 6 units. What angle does this vector make with the positive x axis?

Accepted Answer

A)  31º 
B)  -31º 
C)  180º - 31º 
D)  180º + 31º 
E)  90º - 31º 
A)  31º 
B)  -31º 
C)  180º - 31º 
D)  180º + 31º 
E)  90º - 31º

Question 11

Vectors   and   have the following components:   The angle between the positive x axis and the vector   is

Accepted Answer

A)  -45º. 
B)  194º. 
C)  37º. 
D)  -54º. 
E)  86º. 
A)  -45º. 
B)  194º. 
C)  37º. 
D)  -54º. 
E)  86º.

Question 12

A particle initially moving at 4.0 m/s along the x-axis is uniformly accelerated at 3.0 m/s2 along the y-axis for 2.0 s. The final speed of the particle is

Accepted Answer

A)  -2.0 m/s. 
B)  8.2 m/s. 
C)  6.0 m/s. 
D)  10 m/s. 
E)  None of these is correct. 
A)  -2.0 m/s. 
B)  8.2 m/s. 
C)  6.0 m/s. 
D)  10 m/s. 
E)  None of these is correct.

Question 13

Given vector   , the vector

Accepted Answer

A)  has a magnitude 3 times that of   . 
B)  points in the same direction as   . 
C)  has components each of which is 3 times those of   . 
D)  makes the same angle with a given axis as does   . 
E)  is described by all of these. 
A)  has a magnitude 3 times that of   . 
B)  points in the same direction as   . 
C)  has components each of which is 3 times those of   . 
D)  makes the same angle with a given axis as does   . 
E)  is described by all of these.

Question 14

Which of the following statements is not true of a projectile moving against negligible air resistance near the surface of Earth?

Accepted Answer

A)  The horizontal velocity is constant. 
B)  The vertical acceleration is constant. 
C)  The horizontal displacement is directly proportional to the time of flight. 
D)  The vertical velocity at any given time is independent of the angle of projection. 
E)  The horizontal acceleration is constant. 
A)  The horizontal velocity is constant. 
B)  The vertical acceleration is constant. 
C)  The horizontal displacement is directly proportional to the time of flight. 
D)  The vertical velocity at any given time is independent of the angle of projection. 
E)  The horizontal acceleration is constant.

Question 15

The initial path of a rocket is 30° above the horizontal, and the horizontal component of the rocket's velocity is 326 m/s. The initial vertical component of the rocket's velocity is

Accepted Answer

A)  188 m/s. 
B)  330 m/s. 
C)  380 m/s. 
D)  280 m/s. 
E)  250 m/s. 
A)  188 m/s. 
B)  330 m/s. 
C)  380 m/s. 
D)  280 m/s. 
E)  250 m/s.

Question 16

The velocity vector of an object is given by   and 4 s later, its velocity vector is   . The units are in m/s. The magnitude of the change in the velocity vector   is

Accepted Answer

A)  1.4 m/s. 
B)  2.8 m/s. 
C)  5.7m/s. 
D)  3.7 m/s. 
E)  11.3 m. 
A)  1.4 m/s. 
B)  2.8 m/s. 
C)  5.7m/s. 
D)  3.7 m/s. 
E)  11.3 m.

Question 17

A projectile is fired horizontally from the top of a building in Earth gravity with an initial speed v0.   In the absence of air resistance, which of the graphs is representative of the projectile's motion?

Accepted Answer

A)  1) 
B)  2) 
C)  3) 
D)  4) 
E)  5) 
A)  1) 
B)  2) 
C)  3) 
D)  4) 
E)  5)

Question 18

The distance traveled by a particle is _______ the magnitude of the displacement of the particle.

Accepted Answer

A)  larger than or equal to 
B)  smaller than 
C)  either larger or smaller than 
D)  the same as 
E)  smaller than or equal to 
A)  larger than or equal to 
B)  smaller than 
C)  either larger or smaller than 
D)  the same as 
E)  smaller than or equal to

Question 19

Two vectors   and   are added to give a resultant   . The components of   are Ax = -8.0 units and Ay = 6.0 units, and the components of   are Bx = 1.0 units and By = -1.0 units. The magnitude of vector   is

Accepted Answer

A)  -1.0 units. 
B)  +8.6 units. 
C)  +19 units. 
D)  +2.0 units. 
E)  -3.2 units. 
A)  -1.0 units. 
B)  +8.6 units. 
C)  +19 units. 
D)  +2.0 units. 
E)  -3.2 units.

Question 20

What is the least number of unequal non-zero vectors that can be added to give a resultant equal to zero?

Accepted Answer

A)  2 
B)  3 
C)  4 
D)  5 
E)  It cannot be done. 
A)  2 
B)  3 
C)  4 
D)  5 
E)  It cannot be done.

Exam 3: Motion in Two and Three Dimensions

A golfer drives her ball from the tee down the fairway in a high arcing shot. When the ball is at the highest point of its flight,

Vectors , , and have the following components, expressed in arbitrary units: Vector is defined so that = 0 The magnitude and direction of relative to the positive x axis are

The magnitude of the displacement of a particle is _______ the distance the particle has traveled.

A particle initially moving at 4.0 m/s along the y-axis is uniformly accelerated at 3.0 m/s2 along the x-axis for 2.0 s. The final speed of the particle is

Vector has components Ax = +4.0 units and Ay = +3.2 units, whereas vector has components Bx = +2.5 units and By = +5.5 units. The angle between the two vectors is

A car is at position x1, y1) = 4 m, 5 m) at time t1 = 1 s. If 10 seconds later the car moving in a straight line is at position x2, y2) = 204 m, 305 m), calculate the magnitude of the average velocity during this interval.

The components of a vector

The components of a vector are Ax = -10 units and Ay = 6 units. What angle does this vector make with the positive x axis?

Vectors and have the following components: The angle between the positive x axis and the vector is

A particle initially moving at 4.0 m/s along the x-axis is uniformly accelerated at 3.0 m/s2 along the y-axis for 2.0 s. The final speed of the particle is

Given vector , the vector

Which of the following statements is not true of a projectile moving against negligible air resistance near the surface of Earth?

The initial path of a rocket is 30° above the horizontal, and the horizontal component of the rocket's velocity is 326 m/s. The initial vertical component of the rocket's velocity is

The velocity vector of an object is given by and 4 s later, its velocity vector is . The units are in m/s. The magnitude of the change in the velocity vector is

A projectile is fired horizontally from the top of a building in Earth gravity with an initial speed v0. In the absence of air resistance, which of the graphs is representative of the projectile's motion?

The distance traveled by a particle is _______ the magnitude of the displacement of the particle.

Two vectors and are added to give a resultant . The components of are Ax = -8.0 units and Ay = 6.0 units, and the components of are Bx = 1.0 units and By = -1.0 units. The magnitude of vector is

What is the least number of unequal non-zero vectors that can be added to give a resultant equal to zero?

Introduction to Physics

Linear Motion

Forces and Motion I: Newtons Laws

Forces and Motion II: Applications

Work and Energy

Momentum, Collisions, and the Center of Mass

Rotational Motion

Elastic Properties of Matter: Stress and Strain

Gravitation

Fluids

Oscillations

Waves

Thermodynamics I

Thermodynamics II

Electrostatics I: Electric Charge, Forces, and Fields

Electrostatics II: Electric Potential Energy and Electric Potential

Electric Charges in Motion

Magnetism

Electromagnetic Induction

Alternating-Current Circuits

Electromagnetic Waves

Wave Properties of Light

Geometrical Optics

Relativity

Quantum Physics and Atomic Structure

Nuclear Physics

Particle Physics

Filters

A particle initially moving at 4.0 m/s along the y-axis is uniformly accelerated at 3.0 m/s² along the x-axis for 2.0 s. The final speed of the particle is

Vector has components A_x = +4.0 units and A_y = +3.2 units, whereas vector has components B_x = +2.5 units and B_y = +5.5 units. The angle between the two vectors is

A car is at position x₁, y₁) = 4 m, 5 m) at time t₁ = 1 s. If 10 seconds later the car moving in a straight line is at position x₂, y₂) = 204 m, 305 m), calculate the magnitude of the average velocity during this interval.

The components of a vector are A_x = -10 units and A_y = 6 units. What angle does this vector make with the positive x axis?

A particle initially moving at 4.0 m/s along the x-axis is uniformly accelerated at 3.0 m/s² along the y-axis for 2.0 s. The final speed of the particle is

A projectile is fired horizontally from the top of a building in Earth gravity with an initial speed v₀. In the absence of air resistance, which of the graphs is representative of the projectile's motion?

Two vectors and are added to give a resultant . The components of are A_x = -8.0 units and A_y = 6.0 units, and the components of are B_x = 1.0 units and B_y = -1.0 units. The magnitude of vector is