At t = 0, a particle leaves the origin with a velocity of 5.0 m/s in the positive y direction. Its acceleration is given by m/s2. At the instant the particle reaches its maximum y coordinate how far is the particle from the origin?

A) 11 m B) 16 m C) 22 m D) 29 m E) 19 m A) 11 m B) 16 m C) 22 m D) 29 m E) 19 m A

A particle moves in the xy plane with a constant acceleration given by m/s2. At t = 0, its position and velocity are m and m/s, respectively. What is the distance from the origin to the particle at t = 2.0 s?

A) 6.4 m B) 10 m C) 8.9 m D) 2.0 m E) 6.2 m A) 6.4 m B) 10 m C) 8.9 m D) 2.0 m E) 6.2 m B

Exam 4: Two- and Three-Dimensional Motion

A particle moves in the xy plane in a circle centered on the origin. At a certain instant the velocity and acceleration of the particle are m/s and m/s². What are the x and y coordinates of the particle at this moment?

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Question 1

Correct Answer:

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At t = 0, a particle leaves the origin with a velocity of 5.0 m/s in the positive y direction. Its acceleration is given by m/s². At the instant the particle reaches its maximum y coordinate how far is the particle from the origin?

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(Multiple Choice)

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Question 2

Correct Answer:

Verified

A particle moves in the xy plane with a constant acceleration given by m/s². At t = 0, its position and velocity are m and m/s, respectively. What is the distance from the origin to the particle at t = 2.0 s?

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Question 3

Correct Answer:

Verified

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(s). -At what time intervals does Sheila encounter her brother, if she rides opposite to the direction of rotation of the merry-go-round?

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Question 4

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?

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Question 5

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.

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Question 6

An object moving at a constant speed requires 6.0 s to go once around a circle with a diameter of 4.0 m. What is the magnitude of the instantaneous acceleration of the particle during this time?

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Question 7

At t = 0, a particle leaves the origin with a velocity of 12 m/s in the positive x direction and moves in the xy plane with a constant acceleration of m/s². At the instant the y coordinate of the particle is 18 m, what is the x coordinate of the particle?

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Question 8

A particle moves at a constant speed in a circular path with a radius of 2.06 cm. If the particle makes four revolutions each second, what is the magnitude of its acceleration?

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Question 9

A track star in the broad jump goes into the jump at 12 m/s and launches himself at 20° above the horizontal. How long is he in the air before returning to Earth?

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Question 10

A rifle is aimed horizontally toward the center of a target 0.10 km away, but the bullet strikes 10 cm below the center. Calculate the velocity of the bullet just as it emerges from the rifle.

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Question 11

A car travels around an oval racetrack at constant speed. The car is accelerating

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Question 12

A particle starts from the origin at t = 0 with a velocity of m/s and moves in the xy plane with a constant acceleration of m/s². What is the speed of the particle at t = 2.0 s?

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Question 13

A hunter wishes to cross a river that is 1.5 km wide and flows with a velocity of 5.0 km/h parallel to its banks. The hunter uses a small powerboat that moves at a maximum speed of 12 km/h with respect to the water. What is the minimum time for crossing?

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Question 14

A baseball is hit at ground level. The ball is observed to reach its maximum height above ground level 3.0 s after being hit. And 2.5 s after reaching this maximum height, the ball is observed to barely clear a fence that is 97.5 m from where it was hit. How high is the fence?

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Question 15

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?

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Question 16

Raindrops are falling straight downward. When observed from a car traveling at 55.0 mi/h, the drops streak the side window at an angle of 60.0° with the vertical. Find the speed with which the drops are falling.

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Question 17

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?

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Question 18

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?

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Question 19

A football is thrown upward at a 30.0° angle to the horizontal. To throw a 40.0-m pass, what must be the initial speed of the ball?

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Question 20

Showing 1 - 20 of 79

Exam 4: Two- and Three-Dimensional Motion

A particle moves in the xy plane in a circle centered on the origin. At a certain instant the velocity and acceleration of the particle are m/s and m/s2. What are the x and y coordinates of the particle at this moment?

At t = 0, a particle leaves the origin with a velocity of 5.0 m/s in the positive y direction. Its acceleration is given by m/s2. At the instant the particle reaches its maximum y coordinate how far is the particle from the origin?

A particle moves in the xy plane with a constant acceleration given by m/s2. At t = 0, its position and velocity are m and m/s, respectively. What is the distance from the origin to the particle at t = 2.0 s?

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?

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.

An object moving at a constant speed requires 6.0 s to go once around a circle with a diameter of 4.0 m. What is the magnitude of the instantaneous acceleration of the particle during this time?

At t = 0, a particle leaves the origin with a velocity of 12 m/s in the positive x direction and moves in the xy plane with a constant acceleration of m/s2. At the instant the y coordinate of the particle is 18 m, what is the x coordinate of the particle?

A particle moves at a constant speed in a circular path with a radius of 2.06 cm. If the particle makes four revolutions each second, what is the magnitude of its acceleration?

A track star in the broad jump goes into the jump at 12 m/s and launches himself at 20° above the horizontal. How long is he in the air before returning to Earth?

A rifle is aimed horizontally toward the center of a target 0.10 km away, but the bullet strikes 10 cm below the center. Calculate the velocity of the bullet just as it emerges from the rifle.

A car travels around an oval racetrack at constant speed. The car is accelerating

A particle starts from the origin at t = 0 with a velocity of m/s and moves in the xy plane with a constant acceleration of m/s2. What is the speed of the particle at t = 2.0 s?

A hunter wishes to cross a river that is 1.5 km wide and flows with a velocity of 5.0 km/h parallel to its banks. The hunter uses a small powerboat that moves at a maximum speed of 12 km/h with respect to the water. What is the minimum time for crossing?

A baseball is hit at ground level. The ball is observed to reach its maximum height above ground level 3.0 s after being hit. And 2.5 s after reaching this maximum height, the ball is observed to barely clear a fence that is 97.5 m from where it was hit. How high is the fence?

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?

Raindrops are falling straight downward. When observed from a car traveling at 55.0 mi/h, the drops streak the side window at an angle of 60.0° with the vertical. Find the speed with which the drops are falling.

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 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 football is thrown upward at a 30.0° angle to the horizontal. To throw a 40.0-m pass, what must be the initial speed of the ball?

Getting Started

One-Dimensional Motion

Vectors

Newtons Laws of Motion

Applications of Newtons Laws of Motion

Gravity

Conservation of Energy

Energy in Nonisolated Systems

Systems of Particles and Conservation of Momentum

Collisions

Rotation I: Kinematics and Dynamics

Rotation II: a Conservation Approach

Static Equilibrium, Elasticity, and Fracture

Fluids

Oscillations

Traveling Waves

Superposition and Standing Waves

Temperature, Thermal Expansion, and Gas Laws

Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

Entropy and the Second Law of Thermodynamics

Electric Forces

Electric Fields

Gausss Law

Electric Potential

Capacitors and Batteries

Current and Resistance

Direct Current Dc Circuits

Magnetic Fields and Forces

Gausss Law for Magnetism and Amperes Law

Faradays Law of Induction

Inductors and Ac Circuits

Maxwells Equations and Electromagnetic Waves

Diffraction and Interference

Applications of the Wave Model

Reflection and Images Formed by Reflection

Refraction and Images Formed by Refraction

Relativity

Filters

A particle moves in the xy plane in a circle centered on the origin. At a certain instant the velocity and acceleration of the particle are m/s and m/s². What are the x and y coordinates of the particle at this moment?

At t = 0, a particle leaves the origin with a velocity of 5.0 m/s in the positive y direction. Its acceleration is given by m/s². At the instant the particle reaches its maximum y coordinate how far is the particle from the origin?

A particle moves in the xy plane with a constant acceleration given by m/s². At t = 0, its position and velocity are m and m/s, respectively. What is the distance from the origin to the particle at t = 2.0 s?

At t = 0, a particle leaves the origin with a velocity of 12 m/s in the positive x direction and moves in the xy plane with a constant acceleration of m/s². At the instant the y coordinate of the particle is 18 m, what is the x coordinate of the particle?

A particle starts from the origin at t = 0 with a velocity of m/s and moves in the xy plane with a constant acceleration of m/s². What is the speed of the particle at t = 2.0 s?

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?