Question 1

Jordan ran up the hill at 7.0 m/s.The horizontal component of Jordan's velocity vector was 1.8 m/s.What was the angle of the hill?

Accepted Answer

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

Question 2

The components of vectors   and   are given as follows: 
Bx = -9.2  Cx = -4.5
By = -6.1 Cy = + 4.3
The angle (less than 180 degrees)between vectors   and   ,in degrees,is closest to:

Accepted Answer

A) 77 
B) 103 
C) 10 
D) 170 
E) 84 
A) 77 
B) 103 
C) 10 
D) 170 
E) 84

Question 3

You throw a 5.0 kg stone from the top of a cliff with an initial vertical velocity of 8.0 m/s downward and an initial horizontal velocity of 7.0 m/s away from the cliff,and it feels no air resistance.After the stone is in the air but free of your hand,its acceleration remains constant at 9.8 m/s2 downward but its speed changes.

Accepted Answer

A) True 
 B)False

Question 4

You walk 55 m to the north,then turn 60° to your right and walk another 45 m.How far are you from where you originally started?

Accepted Answer

A) 87 m 
B) 50 m 
C) 94 m 
D) 46 m 
A) 87 m 
B) 50 m 
C) 94 m 
D) 46 m

Question 5

The magnitude of the displacement vector from A to B can never be less than the distance from A to B,but it can be greater than that distance.

Accepted Answer

A) True 
 B)False

Question 6

Vector   points to the north and has length A.Vector   points to the east and has length B = 2.0 A.Find the magnitude of   = 4   +   in terms of A.

Accepted Answer

A) 4.5A 
B) 6A 
C) 3.6A 
D) 3.1A 
A) 4.5A 
B) 6A 
C) 3.6A 
D) 3.1A

Question 7

Two bullets are fired simultaneously parallel to a horizontal plane.The bullets have different masses and different initial velocities.Which one will strike the plane first?

Accepted Answer

A) the fastest one 
B) the slowest one 
C) the heaviest one 
D) the lightest one 
E) They strike the plane at the same time. 
A) the fastest one 
B) the slowest one 
C) the heaviest one 
D) the lightest one 
E) They strike the plane at the same time.

Question 8

Shown here are the velocity and acceleration vectors for an object in several different types of motion.In which case is the object's velocity changing while its speed is not changing?

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
E) None of these cases 
A) 
  
B) 
  
C) 
  
D) 
  
E) None of these cases

Question 9

A projectile is fired from the origin (at y = 0 m)as shown in the figure.The initial velocity components are vox = 940 m/s and voy = 96 m/s.The projectile reaches maximum height at point P,then it falls and strikes the ground at point Q.In the figure,the y-coordinate of point P is closest to:

Accepted Answer

A) 470 m 
B) 45,550 m 
C) 45,080 m 
D) 940 m 
E) 90,160 m 
A) 470 m 
B) 45,550 m 
C) 45,080 m 
D) 940 m 
E) 90,160 m

Question 10

The sum of the two vectors   and   is equal to zero.What can you conclude about   and   ?

Accepted Answer

The vectors @#IMG-DLM& and @#IMG-DLM& ha

Question 11

An electron moves with a horizontal velocity of 3.0 × 106 m/s as it enters a deflector inside a TV tube.The electron strikes the screen after traveling 17.0 cm horizontally and 40.0 cm vertically upward.What is the constant vertical acceleration provided by the deflector?

Accepted Answer

A) 2.5 × 1014 m/s2 
B) 8.3 × 102 m/s2 
C) 1.4 × 104 m/s2 
D) 1.2 × 1014 m/s2 
A) 2.5 × 1014 m/s2 
B) 8.3 × 102 m/s2 
C) 1.4 × 104 m/s2 
D) 1.2 × 1014 m/s2

Question 12

An apple falls straight down from an apple tree growing on a 20° slope.The apple hits the ground with a speed of 16.2 m/s.What is the component of the apple's impact velocity parallel to the ground?

Accepted Answer

A) 5.5 m/s 
B) 8.7 m/s 
C) 12 m/s 
D) 15 m/s 
A) 5.5 m/s 
B) 8.7 m/s 
C) 12 m/s 
D) 15 m/s

Question 13

A ship moving initially at 10.7 m/s due North,drifts due NE at the same speed.To correct the bearing,the captain accelerates the engine and turns the rudder NW.If the engines deliver a constant acceleration of 4.4 m/s2,how long will it take to assume the original course again?

Accepted Answer

A) 2.4 s 
B) 3.4 s 
C) 1.7 s 
D) 1.2 s 
A) 2.4 s 
B) 3.4 s 
C) 1.7 s 
D) 1.2 s

Question 14

A small boat is moving at a velocity of 3.35 m/s when it is accelerated by a river current perpendicular to the initial direction of motion.If the current acceleration is 0.750 m/s2,what will the new velocity of the boat be after 33.5 s?

Accepted Answer

A) 25.3 m/s at 82.4° from initial direction of motion 
B) 25.3 m/s at 7.59° from initial direction of motion 
C) 640.1 m/s at 82.4° from initial direction of motion 
D) 640.1 m/s at 7.59° from initial direction of motion 
A) 25.3 m/s at 82.4° from initial direction of motion 
B) 25.3 m/s at 7.59° from initial direction of motion 
C) 640.1 m/s at 82.4° from initial direction of motion 
D) 640.1 m/s at 7.59° from initial direction of motion

Question 15

The magnitude of the displacement vector of an object is equal to the distance that object has moved.

Accepted Answer

A) True 
 B)False

Question 16

The magnitude of   is 5.5.Vector   lies in the second quadrant and forms an angle of 34 degrees with the y-axis.The components,Ax and Ay,are closest to:

Accepted Answer

A) Ax = - 3.1,Ay = + 4.6 
B) Ax = + 3.1,Ay = - 4.6 
C) Ax = + 4.6,Ay = - 3.1 
D) Ax = - 4.6,Ay = + 3.1 
E) Ax = - 4.6,Ay = - 3.1 
A) Ax = - 3.1,Ay = + 4.6 
B) Ax = + 3.1,Ay = - 4.6 
C) Ax = + 4.6,Ay = - 3.1 
D) Ax = - 4.6,Ay = + 3.1 
E) Ax = - 4.6,Ay = - 3.1

Question 17

A rescue plane spots a survivor 132 m directly below and releases an emergency kit with a parachute.If the package descends at a constant vertical acceleration of 6.89 m/s2 and the initial plane horizontal speed was 68.9 m/s,how far away from the survivor will it hit the waves?

Accepted Answer

A) 426 m 
B) 2.64 km 
C) 301 m 
D) 446 m 
A) 426 m 
B) 2.64 km 
C) 301 m 
D) 446 m

Question 18

Which of the following is NOT a vector?

Accepted Answer

A) speed 
B) acceleration 
C) velocity 
D) displacement 
A) speed 
B) acceleration 
C) velocity 
D) displacement

Question 19

A football kicker is attempting a field goal from 44 m out.The ball is kicked and just clears the lower bar with a time of flight of 2.9 s.If the angle of the kick was 45°,what was the initial speed of the ball?

Accepted Answer

A) 21.5 m/s 
B) 19.7 m/s 
C) 2.2 m/s 
D) 39 m/s 
A) 21.5 m/s 
B) 19.7 m/s 
C) 2.2 m/s 
D) 39 m/s

Question 20

A fisherman casts his bait into the river at an angle of 25°.As the line unravels,he notices that the bait and hook reach a maximum height of 3.9 m.What was the initial velocity he launched the bait with?

Accepted Answer

A) 21 m/s 
B) 9.2 m/s 
C) 10 m/s 
D) 8.4 m/s 
A) 21 m/s 
B) 9.2 m/s 
C) 10 m/s 
D) 8.4 m/s

Exam 3: Vectors and Motion in Two Dimensions

Jordan ran up the hill at 7.0 m/s.The horizontal component of Jordan's velocity vector was 1.8 m/s.What was the angle of the hill?

The components of vectors and are given as follows: Bx = -9.2 Cx = -4.5 By = -6.1 Cy = + 4.3 The angle (less than 180 degrees)between vectors and ,in degrees,is closest to:

You walk 55 m to the north,then turn 60° to your right and walk another 45 m.How far are you from where you originally started?

The magnitude of the displacement vector from A to B can never be less than the distance from A to B,but it can be greater than that distance.

Vector points to the north and has length A.Vector points to the east and has length B = 2.0 A.Find the magnitude of = 4 + in terms of A.

Two bullets are fired simultaneously parallel to a horizontal plane.The bullets have different masses and different initial velocities.Which one will strike the plane first?

Shown here are the velocity and acceleration vectors for an object in several different types of motion.In which case is the object's velocity changing while its speed is not changing?

A projectile is fired from the origin (at y = 0 m)as shown in the figure.The initial velocity components are vox = 940 m/s and voy = 96 m/s.The projectile reaches maximum height at point P,then it falls and strikes the ground at point Q.In the figure,the y-coordinate of point P is closest to:

The sum of the two vectors and is equal to zero.What can you conclude about and ?

An electron moves with a horizontal velocity of 3.0 × 106 m/s as it enters a deflector inside a TV tube.The electron strikes the screen after traveling 17.0 cm horizontally and 40.0 cm vertically upward.What is the constant vertical acceleration provided by the deflector?

An apple falls straight down from an apple tree growing on a 20° slope.The apple hits the ground with a speed of 16.2 m/s.What is the component of the apple's impact velocity parallel to the ground?

A ship moving initially at 10.7 m/s due North,drifts due NE at the same speed.To correct the bearing,the captain accelerates the engine and turns the rudder NW.If the engines deliver a constant acceleration of 4.4 m/s2,how long will it take to assume the original course again?

A small boat is moving at a velocity of 3.35 m/s when it is accelerated by a river current perpendicular to the initial direction of motion.If the current acceleration is 0.750 m/s2,what will the new velocity of the boat be after 33.5 s?

The magnitude of the displacement vector of an object is equal to the distance that object has moved.

The magnitude of is 5.5.Vector lies in the second quadrant and forms an angle of 34 degrees with the y-axis.The components,Ax and Ay,are closest to:

A rescue plane spots a survivor 132 m directly below and releases an emergency kit with a parachute.If the package descends at a constant vertical acceleration of 6.89 m/s2 and the initial plane horizontal speed was 68.9 m/s,how far away from the survivor will it hit the waves?

Which of the following is NOT a vector?

A football kicker is attempting a field goal from 44 m out.The ball is kicked and just clears the lower bar with a time of flight of 2.9 s.If the angle of the kick was 45°,what was the initial speed of the ball?

A fisherman casts his bait into the river at an angle of 25°.As the line unravels,he notices that the bait and hook reach a maximum height of 3.9 m.What was the initial velocity he launched the bait with?

Representing Motion

Motion in One Dimension

Forces and Newtons Laws of Motion

Applying Newtons Laws

Circular Motion,orbits,and Gravity

Rotational Motion

Equilibrium and 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

Electromagnetic Induction and Electromagnetic Waves

Ac Electricity

Relativity

Quantum Physics

Atoms and Molecules

Nuclear Physics

Filters

The components of vectors and are given as follows: B_x = -9.2 C_x = -4.5 B_y= -6.1 C_y= + 4.3 The angle (less than 180 degrees)between vectors and ,in degrees,is closest to:

An electron moves with a horizontal velocity of 3.0 × 10⁶ m/s as it enters a deflector inside a TV tube.The electron strikes the screen after traveling 17.0 cm horizontally and 40.0 cm vertically upward.What is the constant vertical acceleration provided by the deflector?

A ship moving initially at 10.7 m/s due North,drifts due NE at the same speed.To correct the bearing,the captain accelerates the engine and turns the rudder NW.If the engines deliver a constant acceleration of 4.4 m/s²,how long will it take to assume the original course again?

A small boat is moving at a velocity of 3.35 m/s when it is accelerated by a river current perpendicular to the initial direction of motion.If the current acceleration is 0.750 m/s²,what will the new velocity of the boat be after 33.5 s?

The magnitude of is 5.5.Vector lies in the second quadrant and forms an angle of 34 degrees with the y-axis.The components,A_x and A_y,are closest to:

A rescue plane spots a survivor 132 m directly below and releases an emergency kit with a parachute.If the package descends at a constant vertical acceleration of 6.89 m/s² and the initial plane horizontal speed was 68.9 m/s,how far away from the survivor will it hit the waves?