An airplane traveling north at 400 m/s is accelerated due east at a rate of 50 m/s2 for 6 s. If the effects of air resistance and gravity are ignored, what is the final speed of the plane?

A) 300 m/s B) 400 m/s C) 500 m/s D) 700 m/s E) 800 m/s A) 300 m/s B) 400 m/s C) 500 m/s D) 700 m/s E) 800 m/s

A GPS tracking device is placed in a police dog to monitor its whereabouts relative to the police station. At time t1 = 23 min, the dog's displacement from the station is 1.2 km, 33° north of east. At time t2 = 57 min, the dog's displacement from the station is 2.0 km, 75° north of east. Find the magnitude and direction of the dog's average velocity between these two times.

A) 0.52 m/s, 88° north of east B) 1.4 m/s, 31° west of north C) 1.6 m/s, 42° north of east D) 0.67 m/s, 21° west of north E) 0.80 m/s, 42° west of north A) 0.52 m/s, 88° north of east B) 1.4 m/s, 31° west of north C) 1.6 m/s, 42° north of east D) 0.67 m/s, 21° west of north E) 0.80 m/s, 42° west of north

Exam 3: Kinematics in Two Dimensions

A toolbox is carried from the base of a ladder at point A as shown in the figure. The toolbox comes to a rest on a scaffold 5.0 m above the ground. What is the magnitude of the displacement of the toolbox in its movement from point A to point B?

(Multiple Choice)

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Question 21

A tennis ball is thrown upward at an angle from point A. It follows a parabolic trajectory and hits the ground at point D. At the instant shown, the ball is at point B. Point C represents the highest -While in flight, how do the x and y components of the velocity vector of the ball compare at the points B and C?

(Multiple Choice)

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Question 22

An airplane traveling north at 400 m/s is accelerated due east at a rate of 50 m/s² for 6 s. If the effects of air resistance and gravity are ignored, what is the final speed of the plane?

(Multiple Choice)

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Question 23

A projectile fired from a gun has initial horizontal and vertical components of velocity equal to 30 m/s and 40 m/s, respectively. -At what angle is the projectile fired (measured with respect to the horizontal)?

(Multiple Choice)

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Question 24

A football is kicked at an angle $\theta$ with respect to the horizontal. Which one of the following statements best describes the acceleration of the football during this event if air resistance is neglected?

(Multiple Choice)

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Question 25

A tennis ball is thrown from ground level with velocity v₀ directed 30° above the horizontal. If it takes the ball 0.5 s to reach the top of its trajectory, what is the magnitude of the initial velocity?

(Multiple Choice)

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Question 26

A man at point A directs his rowboat due north toward point B, straight across a river of width 100 m. The river current is due east. The man starts across, rowing steadily at 0.75 m/s and reaches the other side of the river at point C, 150 m downstream from his starting point. -While the man is crossing the river, what is his velocity relative to the shore?

(Multiple Choice)

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Question 27

A park ranger wanted to measure the height of a tall tree. The ranger stood 9.50 m from the base of the tree; and he observed that his line of sight made an angle of 65.2° above the horizontal as he looked at the top of the tree. The park ranger's eyes are 1.80 m above the ground. What is the height of the tree?

(Multiple Choice)

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Question 28

During a one-hour trip, a small boat travels 80.0 km north and then travels 60.0 km east. -What is the magnitude of the boat's average velocity for the one-hour trip?

(Multiple Choice)

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Question 29

A football is kicked with a speed of 18 m/s at an angle of 65° to the horizontal. -How far does the football travel horizontally before it hits the ground?

(Multiple Choice)

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Question 30

A tennis ball is thrown vertically with an initial speed of 20.0 m/s at time t = 0 s. Approximately, what is the initial speed of the ball relative to an observer in a car that moves horizontally past the launch location with a constant speed of 30 m/s?

(Multiple Choice)

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Question 31

A spaceship is observed traveling in the positive x direction with a speed of 150 m/s when it begins accelerating at a constant rate. The spaceship is observed 25 s later traveling with an instantaneous velocity of 1500 m/s at an angle of 55° above the +x axis. -What was the magnitude of the displacement of the spaceship during the 25 seconds?

(Multiple Choice)

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Question 32

A GPS tracking device is placed in a police dog to monitor its whereabouts relative to the police station. At time t₁ = 23 min, the dog's displacement from the station is 1.2 km, 33° north of east. At time t₂ = 57 min, the dog's displacement from the station is 2.0 km, 75° north of east. Find the magnitude and direction of the dog's average velocity between these two times.

(Multiple Choice)

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Question 33

A motorcycle has a velocity of 24 m/s, due south as it passes a car with a velocity of 15 m/s, due north. What is the magnitude and direction of the velocity of the motorcycle as seen by the driver of the car?

(Multiple Choice)

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Question 34

A shell is fired with a horizontal velocity in the positive x direction from the top of an 80-m high cliff. The shell strikes the ground 1330 m from the base of the cliff. The drawing is not to scale. -What is the magnitude of the acceleration of the shell just before it strikes the ground?

(Multiple Choice)

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Question 35

A puck slides across a smooth, level tabletop at height H at a constant speed v_o. It slides off the edge of the table and hits the floor a distance x away as shown in the figure. What is the relationship between the distances x and H?

(Multiple Choice)

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Question 36

During a one-hour trip, a small boat travels 80.0 km north and then travels 60.0 km east. -What is the boat's average speed during the one-hour trip?

(Multiple Choice)

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Question 37

Airplane One flies due east at 250 km/h relative to the ground. At the same time, Airplane Two flies 325 km/h, 35° north of east relative to the ground. What is the velocity of Airplane One relative to Airplane Two?

(Multiple Choice)

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Question 38

During a one-hour trip, a small boat travels 80.0 km north and then travels 60.0 km east. -What is the direction of the boat's average velocity for the one-hour trip?

(Multiple Choice)

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Question 39

A shell is fired with a horizontal velocity in the positive x direction from the top of an 80-m high cliff. The shell strikes the ground 1330 m from the base of the cliff. The drawing is not to scale. -What is the magnitude of the velocity of the shell as it hits the ground?

(Multiple Choice)

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Question 40

Showing 21 - 40 of 68

Exam 3: Kinematics in Two Dimensions

A toolbox is carried from the base of a ladder at point A as shown in the figure. The toolbox comes to a rest on a scaffold 5.0 m above the ground. What is the magnitude of the displacement of the toolbox in its movement from point A to point B?

An airplane traveling north at 400 m/s is accelerated due east at a rate of 50 m/s2 for 6 s. If the effects of air resistance and gravity are ignored, what is the final speed of the plane?

A projectile fired from a gun has initial horizontal and vertical components of velocity equal to 30 m/s and 40 m/s, respectively. -At what angle is the projectile fired (measured with respect to the horizontal)?

A football is kicked at an angle θ\thetaθ with respect to the horizontal. Which one of the following statements best describes the acceleration of the football during this event if air resistance is neglected?

A tennis ball is thrown from ground level with velocity v0 directed 30° above the horizontal. If it takes the ball 0.5 s to reach the top of its trajectory, what is the magnitude of the initial velocity?

During a one-hour trip, a small boat travels 80.0 km north and then travels 60.0 km east. -What is the magnitude of the boat's average velocity for the one-hour trip?

A football is kicked with a speed of 18 m/s at an angle of 65° to the horizontal. -How far does the football travel horizontally before it hits the ground?

A tennis ball is thrown vertically with an initial speed of 20.0 m/s at time t = 0 s. Approximately, what is the initial speed of the ball relative to an observer in a car that moves horizontally past the launch location with a constant speed of 30 m/s?

A motorcycle has a velocity of 24 m/s, due south as it passes a car with a velocity of 15 m/s, due north. What is the magnitude and direction of the velocity of the motorcycle as seen by the driver of the car?

A shell is fired with a horizontal velocity in the positive x direction from the top of an 80-m high cliff. The shell strikes the ground 1330 m from the base of the cliff. The drawing is not to scale. -What is the magnitude of the acceleration of the shell just before it strikes the ground?

A puck slides across a smooth, level tabletop at height H at a constant speed vo. It slides off the edge of the table and hits the floor a distance x away as shown in the figure. What is the relationship between the distances x and H?

During a one-hour trip, a small boat travels 80.0 km north and then travels 60.0 km east. -What is the boat's average speed during the one-hour trip?

Airplane One flies due east at 250 km/h relative to the ground. At the same time, Airplane Two flies 325 km/h, 35° north of east relative to the ground. What is the velocity of Airplane One relative to Airplane Two?

During a one-hour trip, a small boat travels 80.0 km north and then travels 60.0 km east. -What is the direction of the boat's average velocity for the one-hour trip?

A shell is fired with a horizontal velocity in the positive x direction from the top of an 80-m high cliff. The shell strikes the ground 1330 m from the base of the cliff. The drawing is not to scale. -What is the magnitude of the velocity of the shell as it hits the ground?

Introduction and Mathematical Concepts

Kinematics in One Dimension

Forces and Newtons Laws of Motion

Dynamics of Uniform Circular Motion

Work and Energy

Impulse and Momentum

Rotational Kinematics

Rotational Dynamics

Simple Harmonic Motion and Elasticity

Fluids

Temperature and Heat

The Transfer of Heat

The Ideal Gas Law and Kinetic Theory

Thermodynamics

Waves and Sound

The Principle of Linear Superposition and Interference Phenomena

Electric Forces and Electric Fields

Electric Potential Energy and the Electric Potential

Electric Circuits

Magnetic Forces and Magnetic Fields

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

The Refl Ection of Light: Mirrors

The Refraction of Light: Lenses and Optical Instruments

Interference and the Wave Nature of Light

Special Relativity

Particles and Waves

The Nature of the Atom

Nuclear Physics and Radioactivity

Ionizing Radiation, Nuclear Energy, and Elementary Particles

Filters

An airplane traveling north at 400 m/s is accelerated due east at a rate of 50 m/s² for 6 s. If the effects of air resistance and gravity are ignored, what is the final speed of the plane?

A football is kicked at an angle $\theta$ with respect to the horizontal. Which one of the following statements best describes the acceleration of the football during this event if air resistance is neglected?

A tennis ball is thrown from ground level with velocity v₀ directed 30° above the horizontal. If it takes the ball 0.5 s to reach the top of its trajectory, what is the magnitude of the initial velocity?

A puck slides across a smooth, level tabletop at height H at a constant speed v_o. It slides off the edge of the table and hits the floor a distance x away as shown in the figure. What is the relationship between the distances x and H?