Question 1

Two projectiles are launched at 100 m/s,the angle of elevation for the first being 30° and for the second 60°.Which of the following statements is false?

Accepted Answer

A)  Both projectiles have the same acceleration while in flight. 
B)  The second projectile has the lower speed at maximum altitude. 
C)  Both projectiles have the same range. 
D)  All of the above statements are false. 
A)  Both projectiles have the same acceleration while in flight. 
B)  The second projectile has the lower speed at maximum altitude. 
C)  Both projectiles have the same range. 
D)  All of the above statements are false.

Question 2

A bridge that was 6.7 m long has been washed out by the rain several days ago.How fast must a car be going to successfully jump the stream? Although the road is level on both sides of the bridge,the road on the far side is 2.3 m lower than the road on this side.
​

Accepted Answer

A)  13.8 m/s 
B)  9.8 m/s 
C)  8 m/s 
D)  19.6 m/s 
E)  ​10.8 m/s 
A)  13.8 m/s 
B)  9.8 m/s 
C)  8 m/s 
D)  19.6 m/s 
E)  ​10.8 m/s

Question 3

A projectile is launched at an angle θ above the horizontal.Three seconds later the projectile is moving the same angle θ below the horizontal.Which of the following (actual values with units,not just algebraic symbols)can be found from the information given?

Accepted Answer

A)  the initial vertical component of the projectile's velocity 
B)  the initial horizontal component of the projectile's velocity 
C)  the initial magnitude of the velocity 
D)  None of the above since at least one of the above must be given to find the other two values. 
A)  the initial vertical component of the projectile's velocity 
B)  the initial horizontal component of the projectile's velocity 
C)  the initial magnitude of the velocity 
D)  None of the above since at least one of the above must be given to find the other two values.

Question 4

A projectile is fired at an angle of elevation of 45°.Neglecting air resistance,what are possible angles in flight between the acceleration vector and the velocity vector?
​

Accepted Answer

A)  160° and 40° 
B)  20° and 70° 
C)  90° and 45° 
D)  none of the above 
E)  ​10° and 45° 
A)  160° and 40° 
B)  20° and 70° 
C)  90° and 45° 
D)  none of the above 
E)  ​10° and 45°

Question 5

A stone is thrown with an initial speed of 10.1 m/s at an angle of 58° above the horizontal from the top of a 31 m building.If g = 9.8 m/s2 and air resistance is negligible,then what is the magnitude of the horizontal component of velocity as the rock strikes the ground?
​

Accepted Answer

A)  26 m/s 
B)  5 m/s 
C)  16 m/s 
D)  5 m/s. 
E)  13 m/s 
A)  26 m/s 
B)  5 m/s 
C)  16 m/s 
D)  5 m/s. 
E)  13 m/s

Question 6

Vector  Is 3.0 units in length and points along the positive x-axis;vector  Is 8.0 units in length and points along a direction 150° from the positive x-axis.What is the magnitude of the resultant when vectors  And  Are added?
​

Accepted Answer

A)  7 
B)  6.7 
C)  10.7 
D)  5.6 
E)  ​11 
A)  7 
B)  6.7 
C)  10.7 
D)  5.6 
E)  ​11

Question 7

Arvin the Ant is on a picnic table.He travels 35 cm eastward,then 20 cm northward,and finally 5 cm westward.What is the magnitude of Arvin's net displacement?
​

Accepted Answer

A)  60 cm 
B)  45 cm 
C)  40 cm 
D)  36 cm 
E)  ​21 cm 
A)  60 cm 
B)  45 cm 
C)  40 cm 
D)  36 cm 
E)  ​21 cm

Question 8

A runner circles a track of radius 100 m one time in 100 s at a constant rate.The greatest change in his velocity from his starting velocity:

Accepted Answer

A)  occurs one-fourth of the way around the track. 
B)  occurs one-half of the way around the track. 
C)  occurs three-fourths of the way around the track. 
D)  Both a and c are correct. 
A)  occurs one-fourth of the way around the track. 
B)  occurs one-half of the way around the track. 
C)  occurs three-fourths of the way around the track. 
D)  Both a and c are correct.

Question 9

Four vectors all have the same magnitude.Vector 1 is at 60°,Vector 2 is at 135°,vector 3 is at 210°,and Vector 4 is at 315°.Which vector has the greatest magnitude x-component and which vector has the greatest magnitude y-component?
​

Accepted Answer

A)  Vector 1,Vector 2 
B)  Vector 3,Vector 4 
C)  Vector 1,Vector 3 
D)  Vector 3,Vector 2 
E)  ​Vector 2,Vector 4 
A)  Vector 1,Vector 2 
B)  Vector 3,Vector 4 
C)  Vector 1,Vector 3 
D)  Vector 3,Vector 2 
E)  ​Vector 2,Vector 4

Question 10

A boat moves at 12 m/s relative to the water.If the boat is in a river where the current is 2 m/s,how long does it take the boat to make a complete round trip of 1,100 m upstream followed by a 1,100-m trip downstream?

Accepted Answer

A)  220 s 
B)  157.1 s 
C)  188.6 s 
D)  267.1 s 
E)  ​298.6 s 
A)  220 s 
B)  157.1 s 
C)  188.6 s 
D)  267.1 s 
E)  ​298.6 s

Question 11

I walk five miles in a straight line in a direction north of east,and I end up three miles east and several miles north.How many degrees north of east have I walked?
​

Accepted Answer

A)  37° 
B)  45° 
C)  31° 
D)  53° 
E)  ​59° 
A)  37° 
B)  45° 
C)  31° 
D)  53° 
E)  ​59°

Question 12

In a 2-dimensional Cartesian coordinate system the y-component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function,with respect to the angle between vector and y-axis?

Accepted Answer

A)  sine 
B)  cosine 
C)  tangent 
D)  cotangent 
A)  sine 
B)  cosine 
C)  tangent 
D)  cotangent

Question 13

Vector  Is 2 m long,and vector  Is 4 m long.The length of the sum of the vectors must be
​

Accepted Answer

A)  5 m. 
B)  6 m. 
C)  11 m. 
D)  some value from 2 m to 6 m. 
E)  ​2 m. 
A)  5 m. 
B)  6 m. 
C)  11 m. 
D)  some value from 2 m to 6 m. 
E)  ​2 m.

Question 14

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 28.1 m/s at an initial angle of 30.0° with respect to the horizontal.If it is in its trajectory for a total of 3.00 s before being caught by the third baseman at an equal shoulder-height level,what is the ball's net vertical displacement during its 3-s trajectory?
​

Accepted Answer

A)  73 m 
B)  9.80 m 
C)  10.1 m 
D)  zero 
E)  ​20.1 m 
A)  73 m 
B)  9.80 m 
C)  10.1 m 
D)  zero 
E)  ​20.1 m

Question 15

A boat travels upstream and after one hour has gone 8 km.The boat next travels downstream and after one hour has gone 14 km.If the boat's speed relative to the water is constant,what is the speed of the current in the river?
​

Accepted Answer

A)  2 km/h 
B)  3 km/h 
C)  4 km/h 
D)  5 km/h 
E)  ​6 km/h 
A)  2 km/h 
B)  3 km/h 
C)  4 km/h 
D)  5 km/h 
E)  ​6 km/h

Question 16

A river flows due east at 3 m/s.A boat crosses the 300-m-wide river by maintaining a constant velocity of 15 m/s due north relative to the water.If no correction is made for the current,how far downstream does the boat move by the time it reaches the far shore?
​

Accepted Answer

A)  120 m 
B)  50 m 
C)  45 m 
D)  60 m 
E)  ​70 m 
A)  120 m 
B)  50 m 
C)  45 m 
D)  60 m 
E)  ​70 m

Question 17

A projectile is fired directly upwards at 49 m/s.A second projectile is dropped from rest at some higher elevation at the instant the first projectile is fired and passes the first projectile 3.37 s later.From the frame of reference of the first projectile,what is the velocity of the second projectile as it passes by?
​

Accepted Answer

A)  65.5 m/s,downward 
B)  73.8 m/s,downward 
C)  49 m/s,downward 
D)  26.4 m/s,downward 
E)  109.5 m/s,downward 
A)  65.5 m/s,downward 
B)  73.8 m/s,downward 
C)  49 m/s,downward 
D)  26.4 m/s,downward 
E)  109.5 m/s,downward

Question 18

In a 2-dimensional Cartesian system,the x-component of a vector is known,and the angle between vector and x-axis is known.Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component)

Accepted Answer

A)  dividing by cosine 
B)  dividing by sine 
C)  multiplying by cosine 
D)  multiplying by sine 
A)  dividing by cosine 
B)  dividing by sine 
C)  multiplying by cosine 
D)  multiplying by sine

Question 19

A helicopter is traveling at 50 m/s at a constant altitude of 100 m over a level field.If a wheel falls off the helicopter,with what speed will it hit the ground? (g = 9.8 m/s2 and air resistance negligible)
​

Accepted Answer

A)  59 m/s 
B)  45 m/s 
C)  67 m/s 
D)  ​4,460 m/s 
E)  ​57 m/s 
A)  59 m/s 
B)  45 m/s 
C)  67 m/s 
D)  ​4,460 m/s 
E)  ​57 m/s

Question 20

Vector  Points north,and vector  Points east.I = − ,then   Points

Accepted Answer

A)  north of east. 
B)  south of east. 
C)  north of west. 
D)  south of west. 
A)  north of east. 
B)  south of east. 
C)  north of west. 
D)  south of west.

Exam 3: Vectors and Two-Dimensional Motion

Two projectiles are launched at 100 m/s,the angle of elevation for the first being 30° and for the second 60°.Which of the following statements is false?

A bridge that was 6.7 m long has been washed out by the rain several days ago.How fast must a car be going to successfully jump the stream? Although the road is level on both sides of the bridge,the road on the far side is 2.3 m lower than the road on this side. ​

A projectile is launched at an angle θ above the horizontal.Three seconds later the projectile is moving the same angle θ below the horizontal.Which of the following (actual values with units,not just algebraic symbols)can be found from the information given?

A projectile is fired at an angle of elevation of 45°.Neglecting air resistance,what are possible angles in flight between the acceleration vector and the velocity vector? ​

A stone is thrown with an initial speed of 10.1 m/s at an angle of 58° above the horizontal from the top of a 31 m building.If g = 9.8 m/s2 and air resistance is negligible,then what is the magnitude of the horizontal component of velocity as the rock strikes the ground? ​

Vector Is 3.0 units in length and points along the positive x-axis;vector Is 8.0 units in length and points along a direction 150° from the positive x-axis.What is the magnitude of the resultant when vectors And Are added? ​

Arvin the Ant is on a picnic table.He travels 35 cm eastward,then 20 cm northward,and finally 5 cm westward.What is the magnitude of Arvin's net displacement? ​

A runner circles a track of radius 100 m one time in 100 s at a constant rate.The greatest change in his velocity from his starting velocity:

Four vectors all have the same magnitude.Vector 1 is at 60°,Vector 2 is at 135°,vector 3 is at 210°,and Vector 4 is at 315°.Which vector has the greatest magnitude x-component and which vector has the greatest magnitude y-component? ​

A boat moves at 12 m/s relative to the water.If the boat is in a river where the current is 2 m/s,how long does it take the boat to make a complete round trip of 1,100 m upstream followed by a 1,100-m trip downstream?

I walk five miles in a straight line in a direction north of east,and I end up three miles east and several miles north.How many degrees north of east have I walked? ​

In a 2-dimensional Cartesian coordinate system the y-component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function,with respect to the angle between vector and y-axis?

Vector Is 2 m long,and vector Is 4 m long.The length of the sum of the vectors must be ​

A boat travels upstream and after one hour has gone 8 km.The boat next travels downstream and after one hour has gone 14 km.If the boat's speed relative to the water is constant,what is the speed of the current in the river? ​

A river flows due east at 3 m/s.A boat crosses the 300-m-wide river by maintaining a constant velocity of 15 m/s due north relative to the water.If no correction is made for the current,how far downstream does the boat move by the time it reaches the far shore? ​

In a 2-dimensional Cartesian system,the x-component of a vector is known,and the angle between vector and x-axis is known.Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component)

A helicopter is traveling at 50 m/s at a constant altitude of 100 m over a level field.If a wheel falls off the helicopter,with what speed will it hit the ground? (g = 9.8 m/s2 and air resistance negligible) ​

Vector Points north,and vector Points east.If=−,then vector11ec8726_cf4b_540b_8f60_37bcf0a2cf5d_TB34225555_11 Points

Introduction

Introduction: Part A

Motion in One Dimension

Motion in One Dimension: Part A

Vectors and Two-Dimensional Motion: Part A

The Laws of Motion

The Laws of Motion: Part A

Energy

Energy: Part A

Momentum and Collisions

Momentum and Collisions: Part A

Rotational Motion and the Law of Gravity

Rotational Motion and the Law of Gravity: Part A

Rotational Equilibrium and Rotational Dynamics

Rotational Equilibrium and Rotational Dynamics: Part A

Solids and Fluids

Solids and Fluids: Part A

Thermal Physics

Thermal Physics: Part A

Energy in Thermal Processes Heat and Internal Energy

Energy in Thermal Processes Heat and Internal Energy: Part A

The Laws of Thermodynamics Work in Thermodynamic Processes

The Laws of Thermodynamics Work in Thermodynamic Processes: Part A

Vibrations and Waves

Vibrations and Waves: Part A

Sound

Sound: Part A

Electric Forces and Electric Fields

Electric Forces and Electric Fields: Part A

Electrical Energy and Capacitance

Electrical Energy and Capacitance: Part A

Current and Resistance Electric Current

Current and Resistance Electric Current: Part A

Direct-Current Circuits Sources of EMF

Direct-Current Circuits Sources of EMF: Part A

Magnetism Magnets

Magnetism Magnets: Part A

Induced Voltages and Inductance

Induced Voltages and Inductance: Part A

Alternating-Current Circuits and Electromagnetic Waves

Alternating-Current Circuits and Electromagnetic Waves: Part A

Reflection and Refraction of Light

Reflection and Refraction of Light: Part A

Mirrors and Lenses

Mirrors and Lenses: Part A

Wave Optics

Wave Optics: Part A

Optical Instruments

Optical Instruments: Part A

Relativity

Relativity: Part A

Quantum Physics Blackbody Radiation and Plancks Hypothesis

Quantum Physics Blackbody Radiation and Plancks Hypothesis: Part A

Atomic Physics

Atomic Physics: Part A

Nuclear Physics

Nuclear Physics: Part A

Nuclear Energy and Elementary Particles

Nuclear Energy and Elementary Particles: Part A

Particle Collisions, Mediating Photons, and Quark Structures: Exploring the Fundamentals of Physics

Filters

A bridge that was 6.7 m long has been washed out by the rain several days ago.How fast must a car be going to successfully jump the stream? Although the road is level on both sides of the bridge,the road on the far side is 2.3 m lower than the road on this side.

A projectile is fired at an angle of elevation of 45°.Neglecting air resistance,what are possible angles in flight between the acceleration vector and the velocity vector?

A stone is thrown with an initial speed of 10.1 m/s at an angle of 58° above the horizontal from the top of a 31 m building.If g = 9.8 m/s² and air resistance is negligible,then what is the magnitude of the horizontal component of velocity as the rock strikes the ground?

Vector Is 3.0 units in length and points along the positive x-axis;vector Is 8.0 units in length and points along a direction 150° from the positive x-axis.What is the magnitude of the resultant when vectors And Are added?

Arvin the Ant is on a picnic table.He travels 35 cm eastward,then 20 cm northward,and finally 5 cm westward.What is the magnitude of Arvin's net displacement?

Four vectors all have the same magnitude.Vector 1 is at 60°,Vector 2 is at 135°,vector 3 is at 210°,and Vector 4 is at 315°.Which vector has the greatest magnitude x-component and which vector has the greatest magnitude y-component?

I walk five miles in a straight line in a direction north of east,and I end up three miles east and several miles north.How many degrees north of east have I walked?

Vector Is 2 m long,and vector Is 4 m long.The length of the sum of the vectors must be

A boat travels upstream and after one hour has gone 8 km.The boat next travels downstream and after one hour has gone 14 km.If the boat's speed relative to the water is constant,what is the speed of the current in the river?

A river flows due east at 3 m/s.A boat crosses the 300-m-wide river by maintaining a constant velocity of 15 m/s due north relative to the water.If no correction is made for the current,how far downstream does the boat move by the time it reaches the far shore?

A helicopter is traveling at 50 m/s at a constant altitude of 100 m over a level field.If a wheel falls off the helicopter,with what speed will it hit the ground? (g = 9.8 m/s² and air resistance negligible)