Question 1

FIGURE 3-5  
-Refer to Fig. 3-5. The components of the sum of these vectors are given by

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

Vector   = -2.00   + 3.00   . Determine the magnitude and direction of vector   .

Accepted Answer

A) 3.61 in a direction 304° counterclockwise from the positive x axis 
B) 3.61 in a direction 56.3° counterclockwise from the positive x axis 
C) -1.00 in a direction 56.3° counterclockwise from the positive x axis 
D) 3.61 in a direction 124° counterclockwise from the positive x axis 
E) 5.00 in a direction 56.3° counterclockwise from the positive x axis 
A) 3.61 in a direction 304° counterclockwise from the positive x axis 
B) 3.61 in a direction 56.3° counterclockwise from the positive x axis 
C) -1.00 in a direction 56.3° counterclockwise from the positive x axis 
D) 3.61 in a direction 124° counterclockwise from the positive x axis 
E) 5.00 in a direction 56.3° counterclockwise from the positive x axis

Question 4

A pilot drops a bomb from a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane will

Accepted Answer

A) be behind the bomb. 
B) be over the bomb. 
C) be in front of the bomb. 
D) depend of the speed of the plane when the bomb was released. 
E) depend of the mass of the bomb when it was released. 
A) be behind the bomb. 
B) be over the bomb. 
C) be in front of the bomb. 
D) depend of the speed of the plane when the bomb was released. 
E) depend of the mass of the bomb when it was released.

Question 5

A projectile is launched with velocity v at an angle θ above the horizontal. The range of the projectile does not depend upon the acceleration due to gravity at that location.

Accepted Answer

A) True 
 B)False

Question 6

Vector   = 1.00   + -2.00   and vector   = 3.00   + 4.00   . What are the magnitude and direction of vector   =   +   ?

Accepted Answer

A) 7.21 in a direction 33.7° counterclockwise from the positive x axis 
B) 6.00 in a direction 63.4° counterclockwise from the positive x axis 
C) 4.47 in a direction 6.34° counterclockwise from the positive x axis 
D) 4.47 in a direction 26.6° counterclockwise from the positive x axis 
E) 7.21 in a direction 56.3° counterclockwise from the positive x axis 
A) 7.21 in a direction 33.7° counterclockwise from the positive x axis 
B) 6.00 in a direction 63.4° counterclockwise from the positive x axis 
C) 4.47 in a direction 6.34° counterclockwise from the positive x axis 
D) 4.47 in a direction 26.6° counterclockwise from the positive x axis 
E) 7.21 in a direction 56.3° counterclockwise from the positive x axis

Question 7

A swimmer heading directly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still water?

Accepted Answer

A) 0.50 m/s 
B) 0.80 m/s 
C) 1.2 m/s 
D) 1.4 m/s 
E) 1.8 m/s 
A) 0.50 m/s 
B) 0.80 m/s 
C) 1.2 m/s 
D) 1.4 m/s 
E) 1.8 m/s

Question 8

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground. How far from where the child is standing does the ball hit the ground?

Accepted Answer

A) 1.22 m 
B) 5.14 m 
C) 6.79 m 
D) 7.46 m 
E) 1.58 m 
A) 1.22 m 
B) 5.14 m 
C) 6.79 m 
D) 7.46 m 
E) 1.58 m

Question 9

A package of supplies is dropped from a plane, and one second later a second package is dropped. Neglecting air resistance, the distance between the falling packages will

Accepted Answer

A) be constant. 
B) decrease. 
C) increase. 
D) depend on their weight. 
E) depend on the speed of the plane. 
A) be constant. 
B) decrease. 
C) increase. 
D) depend on their weight. 
E) depend on the speed of the plane.

Question 10

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground. At what angle below the horizontal does the ball approach the ground?

Accepted Answer

A) 35.1° 
B) 38.6° 
C) 48.0° 
D) 40.0° 
E) 65.2° 
A) 35.1° 
B) 38.6° 
C) 48.0° 
D) 40.0° 
E) 65.2°

Question 11

A rock is thrown at a window that is located 18.0 m above the ground. The rock is thrown at an angle of 40.0° above horizontal. The rock is released from a height of 2.00 m above the ground with a speed of 30.0 m/s. If the rock strikes the window on its upward trajectory, from what horizontal distance from the window was it released?

Accepted Answer

A) 53.2 m 
B) 48.7 m 
C) 71.6 m 
D) 29.8 m 
E) 27.3 m 
A) 53.2 m 
B) 48.7 m 
C) 71.6 m 
D) 29.8 m 
E) 27.3 m

Question 12

FIGURE 3-5  
-Refer to Fig. 3-5. The sum of these vectors is given by

Accepted Answer

A) 4.2 cm at an angle 180° with respect to +x-axis. 
B) 4.2 cm along the y-axis. 
C) 4.2 cm at an angle 270° with respect to +x-axis. 
D) 4.2 cm along the x-axis. 
E) 4.2 cm along the negative y-axis. 
A) 4.2 cm at an angle 180° with respect to +x-axis. 
B) 4.2 cm along the y-axis. 
C) 4.2 cm at an angle 270° with respect to +x-axis. 
D) 4.2 cm along the x-axis. 
E) 4.2 cm along the negative y-axis.

Question 13

Vector   = -1.00   + 2.00   and vector   = 3.00   + 4.00   . What are the magnitude and direction of vector   =   +   ?

Accepted Answer

A) 6.32 in a direction 71.6° counterclockwise from the positive x axis 
B) 8.00 in a direction 71.6° counterclockwise from the positive x axis 
C) 8.00 in a direction 18.4° counterclockwise from the positive x axis 
D) 6.32 in a direction 18.4° counterclockwise from the positive x axis 
E) 40 in a direction 18.4° counterclockwise from the positive x axis 
A) 6.32 in a direction 71.6° counterclockwise from the positive x axis 
B) 8.00 in a direction 71.6° counterclockwise from the positive x axis 
C) 8.00 in a direction 18.4° counterclockwise from the positive x axis 
D) 6.32 in a direction 18.4° counterclockwise from the positive x axis 
E) 40 in a direction 18.4° counterclockwise from the positive x axis

Question 14

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 direction of the average velocity of the car?

Accepted Answer

A) 67° from the x-axis 
B) -67° from the x-axis 
C) 33° from the x-axis 
D) -33° from the x-axis 
E) 52° from the x-axis 
A) 67° from the x-axis 
B) -67° from the x-axis 
C) 33° from the x-axis 
D) -33° from the x-axis 
E) 52° from the x-axis

Question 15

If   +   =   and A2 + B2 = C2, then the vectors   and   are oriented perpendicular relative to one other.

Accepted Answer

A) True 
 B)False

Question 16

Object A has a position as a function of time given by   A(t) = (3.00 m/s)t   + (1.00 m/s2)t2  
  . Object B has a position as a function of time given by   B(t) = (4.00 m/s)t   + (-1.00 m/s2)t2
 
  . What is the distance between object A and object B at time t = 5.00 s?

Accepted Answer

A) 34.6 m 
B) 45.0 m 
C) 50.2 m 
D) 3.46 m 
E) 29.8 m 
A) 34.6 m 
B) 45.0 m 
C) 50.2 m 
D) 3.46 m 
E) 29.8 m

Question 17

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

Accepted Answer

A) -3.00   + -18.0
  
B) 9.00   + 10.0
  
C) 3.00   + 2.00
  
D) -3.00   + -2.00
  
E) 3.00   + 18.0
  
A) -3.00   + -18.0
  
B) 9.00   + 10.0
  
C) 3.00   + 2.00
  
D) -3.00   + -2.00
  
E) 3.00   + 18.0

Question 18

Vector quantities are represented in terms of their magnitude and direction.

Accepted Answer

A) True 
 B)False

Question 19

A monkey is sitting at the top of a tree 20 m above ground level. A person standing on the ground wants to feed the monkey. He uses a bow and arrow to launch the food to the monkey. If the person knows that the monkey is going to drop from the tree at the same instant that the person launches the food, how should the person aim the arrow containing the food?

Accepted Answer

A) He should aim it at the monkey. 
B) He should aim it below the monkey. 
C) He should aim it above the monkey. 
D) None of the other choices is correct. 
A) He should aim it at the monkey. 
B) He should aim it below the monkey. 
C) He should aim it above the monkey. 
D) None of the other choices is correct.

Question 20

James and John dive from an overhang into the lake below. James simply drops straight down from the edge. John takes a running start and jumps with an initial horizontal velocity of 25 m/s. When they reach the lake below,

Accepted Answer

A) the splashdown speed of James is larger than that of John. 
B) the splashdown speed of John is larger than that of James. 
C) they will both have the same splashdown speed. 
D) the splashdown speed of James will always be 9.8 m/s larger than that of John. 
E) the splashdown speed of John will always be 25 m/s larger than that of John. 
A) the splashdown speed of James is larger than that of John. 
B) the splashdown speed of John is larger than that of James. 
C) they will both have the same splashdown speed. 
D) the splashdown speed of James will always be 9.8 m/s larger than that of John. 
E) the splashdown speed of John will always be 25 m/s larger than that of John.

Exam 3: Kinematics in Two or Three Dimensions; Vectors

FIGURE 3-5 -Refer to Fig. 3-5. The components of the sum of these vectors are given by

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

Vector = -2.00 + 3.00 . Determine the magnitude and direction of vector .

A pilot drops a bomb from a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane will

A projectile is launched with velocity v at an angle θ above the horizontal. The range of the projectile does not depend upon the acceleration due to gravity at that location.

Vector = 1.00 + -2.00 and vector = 3.00 + 4.00 . What are the magnitude and direction of vector = + ?

A swimmer heading directly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still water?

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground. How far from where the child is standing does the ball hit the ground?

A package of supplies is dropped from a plane, and one second later a second package is dropped. Neglecting air resistance, the distance between the falling packages will

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground. At what angle below the horizontal does the ball approach the ground?

FIGURE 3-5 -Refer to Fig. 3-5. The sum of these vectors is given by

Vector = -1.00 + 2.00 and vector = 3.00 + 4.00 . What are the magnitude and direction of vector = + ?

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 direction of the average velocity of the car?

If + = and A2 + B2 = C2, then the vectors and are oriented perpendicular relative to one other.

Object A has a position as a function of time given by A(t) = (3.00 m/s)t + (1.00 m/s2)t2 . Object B has a position as a function of time given by B(t) = (4.00 m/s)t + (-1.00 m/s2)t2 . What is the distance between object A and object B at time t = 5.00 s?

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

Vector quantities are represented in terms of their magnitude and direction.

James and John dive from an overhang into the lake below. James simply drops straight down from the edge. John takes a running start and jumps with an initial horizontal velocity of 25 m/s. When they reach the lake below,

Introduction, Measurement, Estimating

Describing Motion: Kinematics in One Dimension

Dynamics: Newtons Laws of Motion

Using Newtons Laws: Friction, Circular Motion, Drag Forces

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Wave Motion

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Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

Second Law of Thermodynamics

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Gausss Law

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Sources of Magnetic Field

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Maxwells Equations and Electromagnetic Waves

Light: Reflection and Refraction

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Special Theory of Relativity

Early Quantum Theory and Models of the Atom

Quantum Mechanics

Quantum Mechanics of Atoms

Molecules and Solids

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Nuclear Energy: Efects and Uses of Radiation

Elementary Particle

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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 direction of the average velocity of the car?

If + = and A² + B²= C², then the vectors and are oriented perpendicular relative to one other.

Object A has a position as a function of time given by _A(t) = (3.00 m/s)t + (1.00 m/s²)t² . Object B has a position as a function of time given by _B(t) = (4.00 m/s)t + (-1.00 m/s²)t² . What is the distance between object A and object B at time t = 5.00 s?