A particle starts from the origin at t = 0 with a velocity of 6.0 î m/s and moves in the xy plane with a constant acceleration of (-2.0 î + 4.0 ĵ )m/s2.At the instant the particle achieves its maximum positive x coordinate,how far is it from the origin?

A) 36 m B) 20 m C) 45 m D) 27 m E) 37 m A) 36 m B) 20 m C) 45 m D) 27 m E) 37 m

Exam 3: Motion in Two Dimensions

A 0.20-km wide river has a uniform flow speed of 4.0 m/s toward the east.It takes 20 s for a boat to cross the river to a point directly north of its departure point on the south bank.In what direction must the boat be pointed in order to accomplish this?

(Multiple Choice)

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Question 41

A projectile is thrown from the top of a building with an initial velocity of 30 m/s in the horizontal direction.If the top of the building is 30 m above the ground,how fast will the projectile be moving just before it strikes the ground?

(Multiple Choice)

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Question 42

An artillery shell is fired with an initial velocity of 300 m/s at 55.0 $\degree$ above the horizontal.It explodes on a mountainside 42.0 s after firing.If x is horizontal and y vertical,find the (x,y)coordinates where the shell explodes.

(Short Answer)

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Question 43

In a location where the train tracks run parallel to a road,a high speed train traveling at 60 m/s passes a car traveling at 30 m/s.How long does it take for the train to be 180 m ahead of the car?

(Multiple Choice)

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Question 44

Two balls,projected at different times so they don't collide,have trajectories A and B,as shown below. Which statement is correct?

(Multiple Choice)

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Question 45

A race car moving with a constant speed of 60 m/s completes one lap around a circular track in 50 s.What is the magnitude of the acceleration of the race car?

(Multiple Choice)

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Question 46

While the gondola is rising at a speed of 5.0 m/s,a passenger in a balloon-supported gondola throws a small ball up at a speed of 2.0 m/s relative to his body.A person who measures the ball's velocity at the instant of release will find that the ball's velocity relative to the ground at that instant is

(Multiple Choice)

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Question 47

A 0.20-km wide river has a uniform flow speed of 3.0 m/s toward the east.A boat with a speed of 8.0 m/s relative to the water leaves the south bank and heads in such a way that it crosses to a point directly north of its departure point.How long does it take the boat to cross the river?

(Multiple Choice)

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Question 48

Wiley Coyote has missed the elusive roadrunner once again.This time,he leaves the edge of the cliff at 50.0 m/s horizontal velocity.If the canyon is 100 m deep,how far from the edge of the cliff does the coyote land?

(Short Answer)

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Question 49

Exhibit 4-1 While her kid brother is on a wooden horse at the edge of a merry-go-round,Sheila rides her bicycle parallel to its edge.The wooden horses have a tangential speed of 6 m/s.Sheila rides at 4 m/s.The radius of the merry-go-round is 8 m. Use this exhibit to answer the following question . -Refer to Exhibit 4-1.At what time intervals does Sheila encounter her brother,if she rides opposite to the direction of rotation of the merry-go-round?

(Multiple Choice)

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Question 50

A river has a steady speed of 0.30 m/s.A student swims downstream a distance of 1.2 km and returns to the starting point.If the student swims with respect to the water at a constant speed and the downstream portion of the swim requires 20 minutes,how much time is required for the entire swim?

(Multiple Choice)

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Question 51

The initial speed of a cannon ball is 0.20 km/s.If the ball is to strike a target that is at a horizontal distance of 3.0 km from the cannon,what is the minimum time of flight for the ball?

(Multiple Choice)

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Question 52

A skier leaves a ski jump with a horizontal velocity of 29.4 m/s.The instant before she lands three seconds later,the magnitudes of the horizontal and vertical components of her velocity are:

(Multiple Choice)

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Question 53

At the lowest point in a vertical dive (radius = 0.58 km),an airplane has a speed of 300 km/h which is not changing.Determine the magnitude of the acceleration of the pilot at this lowest point.

(Multiple Choice)

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Question 54

The pilot of an aircraft flies due north relative to the ground in a wind blowing 40 km/h toward the east.If his speed relative to the ground is 80 km/h,what is the speed of his airplane relative to the air?

(Multiple Choice)

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Question 55

A particle starts from the origin at t = 0 with a velocity of 6.0 î m/s and moves in the xy plane with a constant acceleration of (-2.0 î + 4.0 ĵ )m/s².At the instant the particle achieves its maximum positive x coordinate,how far is it from the origin?

(Multiple Choice)

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Question 56

A carnival Ferris wheel has a 15-m radius and completes five turns about its horizontal axis every minute.What is the acceleration of a passenger at his lowest point during the ride?

(Multiple Choice)

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Question 57

A ball is thrown horizontally from the top of a building 0.10 km high.The ball strikes the ground at a point 65 m horizontally away from and below the point of release.What is the speed of the ball just before it strikes the ground?

(Multiple Choice)

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Question 58

A car travels in a flat circle of radius R.At a certain instant the velocity of the car is 24 m/s west,and the acceleration of the car has components of 2.4 m/s² east and 1.8 m/s² south.What is the radius of the circle?

(Multiple Choice)

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Question 59

A car is driven 1 200 m north at 20.0 m/s and then driven 1 600 m east at 25.0 m/s.What are the magnitude and direction of the displacement for this trip?

(Multiple Choice)

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Question 60

Showing 41 - 60 of 82

Exam 3: Motion in Two Dimensions

A 0.20-km wide river has a uniform flow speed of 4.0 m/s toward the east.It takes 20 s for a boat to cross the river to a point directly north of its departure point on the south bank.In what direction must the boat be pointed in order to accomplish this?

A projectile is thrown from the top of a building with an initial velocity of 30 m/s in the horizontal direction.If the top of the building is 30 m above the ground,how fast will the projectile be moving just before it strikes the ground?

An artillery shell is fired with an initial velocity of 300 m/s at 55.0 °\degree° above the horizontal.It explodes on a mountainside 42.0 s after firing.If x is horizontal and y vertical,find the (x,y)coordinates where the shell explodes.

In a location where the train tracks run parallel to a road,a high speed train traveling at 60 m/s passes a car traveling at 30 m/s.How long does it take for the train to be 180 m ahead of the car?

Two balls,projected at different times so they don't collide,have trajectories A and B,as shown below. Which statement is correct?

A race car moving with a constant speed of 60 m/s completes one lap around a circular track in 50 s.What is the magnitude of the acceleration of the race car?

A 0.20-km wide river has a uniform flow speed of 3.0 m/s toward the east.A boat with a speed of 8.0 m/s relative to the water leaves the south bank and heads in such a way that it crosses to a point directly north of its departure point.How long does it take the boat to cross the river?

Wiley Coyote has missed the elusive roadrunner once again.This time,he leaves the edge of the cliff at 50.0 m/s horizontal velocity.If the canyon is 100 m deep,how far from the edge of the cliff does the coyote land?

A river has a steady speed of 0.30 m/s.A student swims downstream a distance of 1.2 km and returns to the starting point.If the student swims with respect to the water at a constant speed and the downstream portion of the swim requires 20 minutes,how much time is required for the entire swim?

The initial speed of a cannon ball is 0.20 km/s.If the ball is to strike a target that is at a horizontal distance of 3.0 km from the cannon,what is the minimum time of flight for the ball?

A skier leaves a ski jump with a horizontal velocity of 29.4 m/s.The instant before she lands three seconds later,the magnitudes of the horizontal and vertical components of her velocity are:

At the lowest point in a vertical dive (radius = 0.58 km),an airplane has a speed of 300 km/h which is not changing.Determine the magnitude of the acceleration of the pilot at this lowest point.

The pilot of an aircraft flies due north relative to the ground in a wind blowing 40 km/h toward the east.If his speed relative to the ground is 80 km/h,what is the speed of his airplane relative to the air?

A particle starts from the origin at t = 0 with a velocity of 6.0 î m/s and moves in the xy plane with a constant acceleration of (-2.0 î + 4.0 ĵ )m/s2.At the instant the particle achieves its maximum positive x coordinate,how far is it from the origin?

A carnival Ferris wheel has a 15-m radius and completes five turns about its horizontal axis every minute.What is the acceleration of a passenger at his lowest point during the ride?

A ball is thrown horizontally from the top of a building 0.10 km high.The ball strikes the ground at a point 65 m horizontally away from and below the point of release.What is the speed of the ball just before it strikes the ground?

A car travels in a flat circle of radius R.At a certain instant the velocity of the car is 24 m/s west,and the acceleration of the car has components of 2.4 m/s2 east and 1.8 m/s2 south.What is the radius of the circle?

A car is driven 1 200 m north at 20.0 m/s and then driven 1 600 m east at 25.0 m/s.What are the magnitude and direction of the displacement for this trip?

Introduction and Vectors

Motion in One Dimension

The Laws of Motion

More Applications of Newtons Laws

Energy of a System

Conservation of Energy

Momentum and Collisions

Relativity

Rotational Motion

Gravity,planetary Orbits,and the Hydrogen Atom

Oscillatory Motion

Mechanical Waves

Superposition and Standing Waves

Fluid Mechanics

Temperature and the Kinetic Theory of Gases

Energy in Thermal Processes: the First Law of Thermodynamics

Heat Engines,entropy,and the Second Law of Thermodynamics

Electric Forces and Electric Fields

Electric Potential and Capacitance

Current and Direct Current Circuits

Magnetic Forces and Magnetic Fields

Faradays Law and Inductance

Electromagnetic Waves

Reflection and Refraction of Light

Image Formation by Mirrors and Lenses

Wave Optics

Quantum Physics

Atomic Physics

Nuclear Physics

Particle Physics

Filters

An artillery shell is fired with an initial velocity of 300 m/s at 55.0 $\degree$ above the horizontal.It explodes on a mountainside 42.0 s after firing.If x is horizontal and y vertical,find the (x,y)coordinates where the shell explodes.

A particle starts from the origin at t = 0 with a velocity of 6.0 î m/s and moves in the xy plane with a constant acceleration of (-2.0 î + 4.0 ĵ )m/s².At the instant the particle achieves its maximum positive x coordinate,how far is it from the origin?

A car travels in a flat circle of radius R.At a certain instant the velocity of the car is 24 m/s west,and the acceleration of the car has components of 2.4 m/s² east and 1.8 m/s² south.What is the radius of the circle?