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Questions and Answers
What effect does the moving sidewalk have on Mia's overall speed during the race?
What effect does the moving sidewalk have on Mia's overall speed during the race?
How does Brandi's speed compare to Mia's effective speed on the moving sidewalk?
How does Brandi's speed compare to Mia's effective speed on the moving sidewalk?
In the context of the race, what defines relative velocity?
In the context of the race, what defines relative velocity?
What is the primary factor that determines the winner of the race?
What is the primary factor that determines the winner of the race?
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If Mia had run on a non-moving floor like Brandi, what impact would it have on the race outcome?
If Mia had run on a non-moving floor like Brandi, what impact would it have on the race outcome?
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What could Brandi do differently to potentially win the race?
What could Brandi do differently to potentially win the race?
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What is the speed at which Mia effectively moves when running on the moving sidewalk?
What is the speed at which Mia effectively moves when running on the moving sidewalk?
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If the moving sidewalk speed were increased to 4 m/s, what would Mia's new effective speed be?
If the moving sidewalk speed were increased to 4 m/s, what would Mia's new effective speed be?
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What does relative velocity refer to?
What does relative velocity refer to?
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In the relative velocity equation, how is the object reference treated when moving in the opposite direction?
In the relative velocity equation, how is the object reference treated when moving in the opposite direction?
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Which of the following describes relative velocity in one dimension?
Which of the following describes relative velocity in one dimension?
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What must the first subscript in the relative velocity variable represent?
What must the first subscript in the relative velocity variable represent?
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What happens to the subscripted velocities based on the frame of reference?
What happens to the subscripted velocities based on the frame of reference?
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When an object A is moving east at 15 m/s relative to an observer on the Earth's surface, how is its velocity represented?
When an object A is moving east at 15 m/s relative to an observer on the Earth's surface, how is its velocity represented?
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Which of the following is NOT a potential direction of motion in relative velocity in one dimension?
Which of the following is NOT a potential direction of motion in relative velocity in one dimension?
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What characterizes the resultant velocity of multiple objects in relative velocity?
What characterizes the resultant velocity of multiple objects in relative velocity?
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What does the formula for relative velocity in one dimension help to solve for?
What does the formula for relative velocity in one dimension help to solve for?
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Which theorem is used to compute the resultant velocity in the formula for relative velocity in two dimensions?
Which theorem is used to compute the resultant velocity in the formula for relative velocity in two dimensions?
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In the context of relative velocity, what does vAB represent?
In the context of relative velocity, what does vAB represent?
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What is the relative velocity of the box of pencils with respect to the box of marbles?
What is the relative velocity of the box of pencils with respect to the box of marbles?
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When calculating relative velocity in two dimensions, what can be inferred about the motion of Objects A and B?
When calculating relative velocity in two dimensions, what can be inferred about the motion of Objects A and B?
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What is vA in the context of relative velocity formulas?
What is vA in the context of relative velocity formulas?
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If George rides the escalator at a velocity of 0.06 mph, what is Anna's velocity with respect to George's if they are on the same escalator?
If George rides the escalator at a velocity of 0.06 mph, what is Anna's velocity with respect to George's if they are on the same escalator?
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Which of the following statements best describes the purpose of relative velocity formulas?
Which of the following statements best describes the purpose of relative velocity formulas?
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What is the velocity of the second car if the yellow cab's velocity is 29 mph and the relative velocity of the second car is 4 mph?
What is the velocity of the second car if the yellow cab's velocity is 29 mph and the relative velocity of the second car is 4 mph?
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In a situation where Objects A and B are moving at right angles to each other, which formula should be used to find the relative velocity?
In a situation where Objects A and B are moving at right angles to each other, which formula should be used to find the relative velocity?
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What technique is used to determine the velocity of the second car relative to the yellow cab?
What technique is used to determine the velocity of the second car relative to the yellow cab?
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Which of the following can be concluded if the relative velocity vAB is zero?
Which of the following can be concluded if the relative velocity vAB is zero?
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In the example with the motorboat and river current, what is the motorboat's velocity in relation to the riverbank?
In the example with the motorboat and river current, what is the motorboat's velocity in relation to the riverbank?
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What does a negative velocity indicate in the context of the second car's velocity?
What does a negative velocity indicate in the context of the second car's velocity?
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What equation would you likely use to calculate the velocity of the cabin cruiser relative to the man running after it?
What equation would you likely use to calculate the velocity of the cabin cruiser relative to the man running after it?
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If a motion problem provides velocities in different directions, what must be considered to find the total velocity?
If a motion problem provides velocities in different directions, what must be considered to find the total velocity?
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What is the resultant velocity of an airplane traveling south at 113 km/hr with a side wind of 22 km/hr?
What is the resultant velocity of an airplane traveling south at 113 km/hr with a side wind of 22 km/hr?
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Which equation is used to calculate the magnitude of the resultant velocity when dealing with velocities at right angles?
Which equation is used to calculate the magnitude of the resultant velocity when dealing with velocities at right angles?
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How is the direction of the relative velocity determined?
How is the direction of the relative velocity determined?
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What is the velocity of the box of pencils relative to the box of marbles on a conveyor belt moving at 0.059 mph?
What is the velocity of the box of pencils relative to the box of marbles on a conveyor belt moving at 0.059 mph?
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Which of the following best describes the process to identify resultant velocity when two vectors are perpendicular?
Which of the following best describes the process to identify resultant velocity when two vectors are perpendicular?
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What is the angle produced when calculating the direction of the airplane's relative velocity under side winds?
What is the angle produced when calculating the direction of the airplane's relative velocity under side winds?
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What happens to the velocity of an object placed on a moving conveyor belt in terms of its relative velocity to the belt?
What happens to the velocity of an object placed on a moving conveyor belt in terms of its relative velocity to the belt?
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Which condition must be true for the Pythagorean theorem to be applied in relative velocity calculations?
Which condition must be true for the Pythagorean theorem to be applied in relative velocity calculations?
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What is the relative velocity of the first train from the perspective of the second train?
What is the relative velocity of the first train from the perspective of the second train?
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How does the motion of the first train appear from the second train's frame of reference?
How does the motion of the first train appear from the second train's frame of reference?
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What must be true for the reference frame when considering relative velocity?
What must be true for the reference frame when considering relative velocity?
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If you are walking east at 12 m/s, what is your velocity relative to a train moving at 27 m/s in the same direction?
If you are walking east at 12 m/s, what is your velocity relative to a train moving at 27 m/s in the same direction?
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Why is it important to consider frame of reference when discussing velocities?
Why is it important to consider frame of reference when discussing velocities?
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What does the negative value in relative velocity signify?
What does the negative value in relative velocity signify?
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If the first train is moving at 16 m/s west and the second train is moving at 27 m/s east, what is the net velocity of the first train relative to the second train?
If the first train is moving at 16 m/s west and the second train is moving at 27 m/s east, what is the net velocity of the first train relative to the second train?
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Which of the following statements about relative velocity is true?
Which of the following statements about relative velocity is true?
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Study Notes
General Physics 1, Unit 4: Motion in Two Dimensions, Lesson 4.1
- Motion Descriptors in Two Dimensions: Motion is relative to a specific frame of reference. Relative velocity takes into account the various frames of reference.
- Learning Objectives: Students should be able to explain relative velocity, solve for relative velocity in one dimension, and solve for relative velocity in two dimensions.
- Warm Up (Relative Velocity Race): This involves a simulation where two women (Mia and Brandi) compete in a race, one on a moving sidewalk and the other on a stationary floor.
- Materials: Relative velocity race simulation and pen and paper.
- Procedure: The simulation involves setting the speed of the moving sidewalk and the speeds of Mia and Brandi. The simulation is run by clicking "Play".
- Relative Velocity in One Dimension: Relative velocity considers individual motions across a straight line, including the same direction, towards each other, and opposite directions.
- Position of the Point Object: Visualizing the motion of objects and arranging subscripts (e.g., UAB for velocity of A relative to B) is important. The first subscript represents the observed object; the second is the reference point.
- Solving Relative Velocity in 1D In a 1D example, a person inside a train moving relative to the ground with a velocity. If a person in the train walks forward at a velocity , the person's velocity relative to the ground is the sum of their velocity on the train and the train's velocity.
- Relative Velocity in Two Dimensions. Objects can change direction, like airplanes in side winds. The resultant velocity is calculated with the Pythagorean theorem when the velocities are perpendicular.
- Key Formulas: Relevant formulas for calculating relative velocity in both one and two dimensions are provided, including the Pythagorean theorem to calculate the magnitude of the resultant velocity in two dimensions.
- Guide Questions: Questions about relative velocity scenarios.
- Relative Velocity in Two Dimensions. Explains how to solve for situations like airplanes in sidewinds.
- Key Points: Relative velocity is velocity of an object from another observer's frame of reference. It can be calculated in one or two dimensions, using relevant formulas.
- Let's Practise Example 1: A problem about the relative velocity of boxes of pencils and marbles on a conveyor belt. The solution shows how to identify what is required and the given, write the working equation, substitute values, to finally calculate the answer (solution 0 mph).
- Let's Practise Example 2: A problem involves a yellow cab overtaking another car where you must calculate the second car's velocity based on the relative velocity given .
- Try It Example 1 (Easy): George rides an escalator while Anna rides the same escalator. The question is to find Anna's velocity relative to George.
- Try It Example 2 (Average): Similar to the example above but slightly different given.
- Try It Example 3 (Difficult): A motorboat traveling north in a river with a current moving east. What is the motorboat's velocity relative to an observer on the riverbank.
- Key Formulas: Includes formulas for relative velocity in one and two dimensions, along the direction calculations such as tan θ = opposite/adjacent.
- Check Your Understanding: A series of questions to test the student's knowledge of the concept of relative velocity.
- Bibliography: A compilation of resources and textbook references.
- Challenge Yourself: Further conceptual problems to help students apply their understanding.
- Key to Try It! Answers to the practice problems.
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Description
Explore the concepts of motion in two dimensions through the lens of relative velocity. This quiz will help you understand how different frames of reference affect motion, along with practical applications involving simulations. Get ready to correlate theoretical and practical aspects of motion with engaging activities.
