A particle starts from the origin at t = 0 with a velocity of 6.0 m/s and moves in the xy plane with a constant acceleration of (−2.0 + 4.0 ) 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

The speed of a particle moving in a circle 2.0 m in radius increases at the constant rate of 4.4 m/s2. At an instant when the magnitude of the total acceleration is 6.0 m/s2, what is the speed of the particle?

A) 3.9 m/s B) 2.9 m/s C) 3.5 m/s D) 3.0 m/s E) 1.4 m/s A) 3.9 m/s B) 2.9 m/s C) 3.5 m/s D) 3.0 m/s E) 1.4 m/s

Exam 4: Motion in Two Dimensions

A tennis player standing 12.6 m from the net hits the ball at 3.00° above the horizontal. To clear the net, the ball must rise at least 0.330 m. If the ball just clears the net at the apex of its trajectory, how fast was the ball moving when it left the racket?

(Short Answer)

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Question 21

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 22

Given the equations below, which description best fits the physical situation?

(Multiple Choice)

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Question 23

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 24

The position of an object is given by where t is in seconds. At t = 2.0 s, what is the magnitude of the particle's acceleration?

(Multiple Choice)

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Question 25

A tennis player wants to slam a serve at O so that the ball lands just inside the opposite corner of the court. What should the ratio be for the initial velocity ? The time t = 0 is the time when the ball is hit by the racket.

(Multiple Choice)

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Question 26

With the x axis horizontal and the y axis vertically upward, the change in the horizontal component of velocity, Δv_x, and the change in the vertical component of velocity, Δv_y, of a projectile are related to the time since leaving the barrel, Δt, as

(Multiple Choice)

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Question 27

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 28

A fast duck is flying mi/h at the same altitude as a slow airplane flying with a velocity of mi/h. How fast and in what direction is the duck moving relative to the airplane?

(Essay)

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Question 29

An artillery shell is fired with an initial velocity of 300 m/s at 55.0° 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 30

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 31

The site from which an airplane takes off is the origin. The x axis points east; the y axis points straight up. The position and velocity vectors of the plane at a later time are given by and . The plane is most likely

(Multiple Choice)

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Question 32

A particle starts from the origin at t = 0 with a velocity of 6.0 m/s and moves in the xy plane with a constant acceleration of (−2.0 + 4.0 ) 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 33

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 total acceleration of the car is 2.5 m/s² 53° north of west. Which of the following is correct?

(Multiple Choice)

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Question 34

An airplane flies horizontally with a speed of 300 m/s at an altitude of 400 m. Assume that the ground is level. At what horizontal distance from a target must the pilot release a bomb so as to hit the target?

(Multiple Choice)

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Question 35

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 36

A space station of diameter 80 m is turning about its axis at a constant rate. If the acceleration of the outer rim of the station is 2.5 m/s², what is the period of revolution of the space station?

(Multiple Choice)

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Question 37

Exhibit 4-2 Newton approximated motion in a circle as a series of linear motions, as in the polygon below. Assume that the particle moves at constant speed v_A from A to B, and at constant speed v_B from B to C. Use this exhibit to answer the following question(s). -Refer to Exhibit 4-2. The direction of the change in velocity, , at point B, is shown by the arrow in

(Multiple Choice)

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Question 38

The speed of a particle moving in a circle 2.0 m in radius increases at the constant rate of 4.4 m/s². At an instant when the magnitude of the total acceleration is 6.0 m/s², what is the speed of the particle?

(Multiple Choice)

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Question 39

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 is the magnitude of the average velocity for this trip?

(Multiple Choice)

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Question 40

Showing 21 - 40 of 79

Exam 4: Motion in Two Dimensions

A tennis player standing 12.6 m from the net hits the ball at 3.00° above the horizontal. To clear the net, the ball must rise at least 0.330 m. If the ball just clears the net at the apex of its trajectory, how fast was the ball moving when it left the racket?

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?

Given the equations below, which description best fits the physical situation?

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?

The position of an object is given by where t is in seconds. At t = 2.0 s, what is the magnitude of the particle's acceleration?

A tennis player wants to slam a serve at O so that the ball lands just inside the opposite corner of the court. What should the ratio be for the initial velocity ? The time t = 0 is the time when the ball is hit by the racket.

With the x axis horizontal and the y axis vertically upward, the change in the horizontal component of velocity, Δvx, and the change in the vertical component of velocity, Δvy, of a projectile are related to the time since leaving the barrel, Δt, as

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 fast duck is flying mi/h at the same altitude as a slow airplane flying with a velocity of mi/h. How fast and in what direction is the duck moving relative to the airplane?

An artillery shell is fired with an initial velocity of 300 m/s at 55.0° 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.

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 site from which an airplane takes off is the origin. The x axis points east; the y axis points straight up. The position and velocity vectors of the plane at a later time are given by and . The plane is most likely

A particle starts from the origin at t = 0 with a velocity of 6.0 m/s and moves in the xy plane with a constant acceleration of (−2.0 + 4.0 ) 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 total acceleration of the car is 2.5 m/s2 53° north of west. Which of the following is correct?

An airplane flies horizontally with a speed of 300 m/s at an altitude of 400 m. Assume that the ground is level. At what horizontal distance from a target must the pilot release a bomb so as to hit the target?

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?

A space station of diameter 80 m is turning about its axis at a constant rate. If the acceleration of the outer rim of the station is 2.5 m/s2, what is the period of revolution of the space station?

The speed of a particle moving in a circle 2.0 m in radius increases at the constant rate of 4.4 m/s2. At an instant when the magnitude of the total acceleration is 6.0 m/s2, what is the speed of the particle?

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 is the magnitude of the average velocity for this trip?

Physics and Measurement

Motion in One Dimension

Vectors

The Laws of Motion

Circular Motion and Other Applications of Newtons Laws

Energy of a System

Conservation of Energy

Linear Momentum and Collisions

Rotation of a Rigid Object About a Fixed Axis

Angular Momentum

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Universal Gravitation

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The First Law of Thermodynamics

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Heat Engines, Entropy, and the Second Law of Thermodynamics

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Gausss Law

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Faradays Law

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The Nature of Light and the Principles of Ray Optics

Image Formation

Wave Optics

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Introduction to Quantum Physics

Quantum Mechanics

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With the x axis horizontal and the y axis vertically upward, the change in the horizontal component of velocity, Δv_x, and the change in the vertical component of velocity, Δv_y, of a projectile are related to the time since leaving the barrel, Δt, as

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 particle starts from the origin at t = 0 with a velocity of 6.0 m/s and moves in the xy plane with a constant acceleration of (−2.0 + 4.0 ) 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 total acceleration of the car is 2.5 m/s² 53° north of west. Which of the following is correct?

A space station of diameter 80 m is turning about its axis at a constant rate. If the acceleration of the outer rim of the station is 2.5 m/s², what is the period of revolution of the space station?

The speed of a particle moving in a circle 2.0 m in radius increases at the constant rate of 4.4 m/s². At an instant when the magnitude of the total acceleration is 6.0 m/s², what is the speed of the particle?