Podcast
Questions and Answers
What is the key difference between distance and displacement?
What is the key difference between distance and displacement?
- Distance is measured in meters, while displacement is measured in kilometers.
- Distance measures the total path traveled, while displacement measures the change in position. (correct)
- Distance is a vector quantity, while displacement is a scalar quantity.
- Distance can be negative, while displacement is always positive.
If a person walks 8 km north and then 3 km south, what is their total distance traveled?
If a person walks 8 km north and then 3 km south, what is their total distance traveled?
- 8 km
- 3 km
- 5 km
- 11 km (correct)
Which of the following is a scalar quantity?
Which of the following is a scalar quantity?
- Velocity
- Acceleration
- Displacement
- Distance (correct)
What is the displacement of a person who walks 10 km east, then 10 km west?
What is the displacement of a person who walks 10 km east, then 10 km west?
Which quantity includes both magnitude and direction?
Which quantity includes both magnitude and direction?
A car drives 15 km north, then 20 km east. What is the approximate magnitude of its displacement?
A car drives 15 km north, then 20 km east. What is the approximate magnitude of its displacement?
A cyclist travels around a circular track with a radius of 50 m, completing one full lap. What is the cyclist's displacement?
A cyclist travels around a circular track with a radius of 50 m, completing one full lap. What is the cyclist's displacement?
A student walks 3 meters east, 4 meters north, and then 3 meters west. What is the magnitude of the student's resultant displacement?
A student walks 3 meters east, 4 meters north, and then 3 meters west. What is the magnitude of the student's resultant displacement?
A hiker walks 4 km due east, then changes direction and walks 3 km due north. What is the total distance traveled by the hiker?
A hiker walks 4 km due east, then changes direction and walks 3 km due north. What is the total distance traveled by the hiker?
What is the primary difference in how distance and displacement treat changes in direction?
What is the primary difference in how distance and displacement treat changes in direction?
A dog runs 12 meters north, 5 meters east, and then 12 meters south. What is the magnitude of the dog's displacement?
A dog runs 12 meters north, 5 meters east, and then 12 meters south. What is the magnitude of the dog's displacement?
A person walks 3 km north, then 4 km east, and finally 3 km south. What is the person's total displacement?
A person walks 3 km north, then 4 km east, and finally 3 km south. What is the person's total displacement?
An ant walks along a square path. Each side of the square is 1 meter. If the ant completes two full loops around the square, what is the total distance it has walked?
An ant walks along a square path. Each side of the square is 1 meter. If the ant completes two full loops around the square, what is the total distance it has walked?
An object moves from point A to point B and then back to point A. Which statement about its distance and displacement is correct?
An object moves from point A to point B and then back to point A. Which statement about its distance and displacement is correct?
A train travels 100 km north, stops for 30 minutes, and then travels 50 km south. What is the train's average speed if the entire trip takes 2 hours?
A train travels 100 km north, stops for 30 minutes, and then travels 50 km south. What is the train's average speed if the entire trip takes 2 hours?
A runner completes one lap around a circular track with a circumference of 400 meters in 80 seconds. What is the runner's average velocity?
A runner completes one lap around a circular track with a circumference of 400 meters in 80 seconds. What is the runner's average velocity?
A drone flies 45 meters east, then 60 meters north. Determine the magnitude of the drone's displacement and round to the nearest meter.
A drone flies 45 meters east, then 60 meters north. Determine the magnitude of the drone's displacement and round to the nearest meter.
An airplane flies 300 km due north, then turns and flies 400 km due east. Calculate the magnitude of the plane's displacement.
An airplane flies 300 km due north, then turns and flies 400 km due east. Calculate the magnitude of the plane's displacement.
A car travels 24 km east and then 7 km north. What is the magnitude of the resultant displacement of the car?
A car travels 24 km east and then 7 km north. What is the magnitude of the resultant displacement of the car?
A man walks 8 km to the north. He then turns 180 degrees and walks 5 km. What is the resultant displacement of the man from his original position?
A man walks 8 km to the north. He then turns 180 degrees and walks 5 km. What is the resultant displacement of the man from his original position?
A ball is thrown straight up and then falls back down to the same spot. What can be said about the displacement of the ball?
A ball is thrown straight up and then falls back down to the same spot. What can be said about the displacement of the ball?
A car travels from point A to point B, a distance of 200 km, in 4 hours. It then returns from point B to point A in 5 hours. What is the average speed for the entire trip?
A car travels from point A to point B, a distance of 200 km, in 4 hours. It then returns from point B to point A in 5 hours. What is the average speed for the entire trip?
A ship sails 100 km due north, then turns and sails 75 km due east. Determine the direction of the ship's displacement from its original position, relative to the north.
A ship sails 100 km due north, then turns and sails 75 km due east. Determine the direction of the ship's displacement from its original position, relative to the north.
A plane flies 500 km at 30 degrees north of east, then 800 km at 60 degrees north of west. Find the magnitude of the plane's total displacement.
A plane flies 500 km at 30 degrees north of east, then 800 km at 60 degrees north of west. Find the magnitude of the plane's total displacement.
A car drives around a city block, which is a perfect square with each side measuring 100 meters. If the car completes 3 laps, what is the total distance traveled and what is the displacement?
A car drives around a city block, which is a perfect square with each side measuring 100 meters. If the car completes 3 laps, what is the total distance traveled and what is the displacement?
An athlete runs halfway around a circular track of radius 50 m. Calculate both the distance run and the magnitude of the displacement from the starting point.
An athlete runs halfway around a circular track of radius 50 m. Calculate both the distance run and the magnitude of the displacement from the starting point.
A hiker follows a path that consists of 2 km north, 3 km east, and then 5 km southeast (at a 45-degree angle to the east). Calculate the approximate magnitude of the hiker's resultant displacement.
A hiker follows a path that consists of 2 km north, 3 km east, and then 5 km southeast (at a 45-degree angle to the east). Calculate the approximate magnitude of the hiker's resultant displacement.
A boat sails 5 km north, then 5 km east, then 5 km at a 45-degree angle southwest. Determine the y-component of the boat’s total displacement.
A boat sails 5 km north, then 5 km east, then 5 km at a 45-degree angle southwest. Determine the y-component of the boat’s total displacement.
A car travels halfway around a circle of radius 20 m. What is true about the distance the car travelled and its displacement?
A car travels halfway around a circle of radius 20 m. What is true about the distance the car travelled and its displacement?
An object moves 5 meters east, then 12 meters north, and then 3 meters up (vertically). What is the magnitude of the object's total displacement?
An object moves 5 meters east, then 12 meters north, and then 3 meters up (vertically). What is the magnitude of the object's total displacement?
Consider a scenario where a person walks along a path defined by the function $y = x^2$ from $x = 0$ to $x = 2$ (where both x and y are in kilometers). Which of the following integrals would correctly calculate the distance traveled by the person?
Consider a scenario where a person walks along a path defined by the function $y = x^2$ from $x = 0$ to $x = 2$ (where both x and y are in kilometers). Which of the following integrals would correctly calculate the distance traveled by the person?
A fly starts at one corner of a rectangular room that measures 3m x 4m x 2.5m (length x width x height). It flies directly to the opposite corner of the room. What is the magnitude of the fly’s displacement?
A fly starts at one corner of a rectangular room that measures 3m x 4m x 2.5m (length x width x height). It flies directly to the opposite corner of the room. What is the magnitude of the fly’s displacement?
Consider a particle moving in a two-dimensional plane. Its position is given by the vector $r(t) = (t^3 - 6t)i + (3t^2)j$, where $i$ and $j$ are unit vectors in the x and y directions, respectively, and $t$ is time in seconds. What is the distance traveled by the particle between $t = 0$ and $t = 3$ seconds?
Consider a particle moving in a two-dimensional plane. Its position is given by the vector $r(t) = (t^3 - 6t)i + (3t^2)j$, where $i$ and $j$ are unit vectors in the x and y directions, respectively, and $t$ is time in seconds. What is the distance traveled by the particle between $t = 0$ and $t = 3$ seconds?
What is the primary characteristic that distinguishes distance from displacement?
What is the primary characteristic that distinguishes distance from displacement?
Which of the following quantities is a scalar?
Which of the following quantities is a scalar?
If a car completes one full lap around a circular track, what can be accurately stated about its distance and displacement?
If a car completes one full lap around a circular track, what can be accurately stated about its distance and displacement?
A student walks 5 meters north, 5 meters east, and then 5 meters south. What is the magnitude of the student's total displacement?
A student walks 5 meters north, 5 meters east, and then 5 meters south. What is the magnitude of the student's total displacement?
What is the fundamental difference between scalar and vector quantities?
What is the fundamental difference between scalar and vector quantities?
A researcher records that an ant walked a total of 25 cm during an experiment. What type of measurement does this represent?
A researcher records that an ant walked a total of 25 cm during an experiment. What type of measurement does this represent?
In a physics experiment, which set of tools would be MOST appropriate for directly measuring both the distance and displacement of an object moving in a classroom?
In a physics experiment, which set of tools would be MOST appropriate for directly measuring both the distance and displacement of an object moving in a classroom?
An athlete runs forward 100 meters then backward 30 meters. What is the distance the athlete covered?
An athlete runs forward 100 meters then backward 30 meters. What is the distance the athlete covered?
A toy car moves 2 meters east, then 5 meters north, then 2 meters west. What is the magnitude of the car's displacement?
A toy car moves 2 meters east, then 5 meters north, then 2 meters west. What is the magnitude of the car's displacement?
A hiker walks 3 km north, then turns and walks 4 km east. What is the magnitude of the hiker's displacement?
A hiker walks 3 km north, then turns and walks 4 km east. What is the magnitude of the hiker's displacement?
Under what condition is the magnitude of an object's displacement equal to the distance it travels?
Under what condition is the magnitude of an object's displacement equal to the distance it travels?
A robot moves 5 meters forward, then turns 90 degrees to the left and moves another 5 meters. What is the robot's displacement from its original position?
A robot moves 5 meters forward, then turns 90 degrees to the left and moves another 5 meters. What is the robot's displacement from its original position?
Alice walks 6 km north, then 8 km east. What is the best estimate of the angle of Alice's displacement relative to the north?
Alice walks 6 km north, then 8 km east. What is the best estimate of the angle of Alice's displacement relative to the north?
A man drives 10 km east, then 5 km south, and then 10 km west. What is the final displacement of the man from his starting point?
A man drives 10 km east, then 5 km south, and then 10 km west. What is the final displacement of the man from his starting point?
An object moves 8 meters east, 6 meters north, and then 8 meters west. What is the total distance traveled by the object?
An object moves 8 meters east, 6 meters north, and then 8 meters west. What is the total distance traveled by the object?
If a person walks 4 km north, 2 km east, 4 km south and then 2 km west, what is their displacement?
If a person walks 4 km north, 2 km east, 4 km south and then 2 km west, what is their displacement?
During a laboratory activity, a student measures the dimensions of a rectangular room to calculate the distance a remote-controlled car travels from one corner to the opposite corner diagonally. Which additional piece of information is essential to accurately determine the displacement of the car?
During a laboratory activity, a student measures the dimensions of a rectangular room to calculate the distance a remote-controlled car travels from one corner to the opposite corner diagonally. Which additional piece of information is essential to accurately determine the displacement of the car?
A train travels 60 km north and then 80 km east. What is the magnitude of the train's displacement?
A train travels 60 km north and then 80 km east. What is the magnitude of the train's displacement?
Consider two vectors, A and B, where A = 5 m east and B = 5 m north. What is the magnitude of the resultant displacement when these vectors are added?
Consider two vectors, A and B, where A = 5 m east and B = 5 m north. What is the magnitude of the resultant displacement when these vectors are added?
A bird flies 100 m to the east, then 50 m to the north, and finally 100 m to the west. What is the bird's total displacement?
A bird flies 100 m to the east, then 50 m to the north, and finally 100 m to the west. What is the bird's total displacement?
A remote-controlled car travels 8 meters east, then 5 meters north, and then 8 meters west. What is the magnitude of its resultant displacement?
A remote-controlled car travels 8 meters east, then 5 meters north, and then 8 meters west. What is the magnitude of its resultant displacement?
A person walks 20 meters north then 10 meters east. What is the approximate angle of the resultant displacement with respect to the eastward direction?
A person walks 20 meters north then 10 meters east. What is the approximate angle of the resultant displacement with respect to the eastward direction?
A runner completes half a lap around a circular track of radius $r$ meters. Which of the following correctly describes the runner's distance traveled and displacement?
A runner completes half a lap around a circular track of radius $r$ meters. Which of the following correctly describes the runner's distance traveled and displacement?
An enthusiastic puppy runs around a rectangular yard that is 15 meters long and 8 meters wide. If the puppy runs from one corner to the diagonally opposite corner, what is the magnitude of its displacement?
An enthusiastic puppy runs around a rectangular yard that is 15 meters long and 8 meters wide. If the puppy runs from one corner to the diagonally opposite corner, what is the magnitude of its displacement?
How does the displacement of an object differ from the distance it travels when the object changes direction multiple times?
How does the displacement of an object differ from the distance it travels when the object changes direction multiple times?
A rabbit runs 10 meters north, 4 meters west, and then 6 meters south. Determine the magnitude of the rabbit's resultant displacement.
A rabbit runs 10 meters north, 4 meters west, and then 6 meters south. Determine the magnitude of the rabbit's resultant displacement.
A paper airplane is thrown from a dorm window. It flies 10 meters east, 5 meters north and then drops 12 meters straight down toward the ground. What's the approximate magnitude of the airplane's total displacement?
A paper airplane is thrown from a dorm window. It flies 10 meters east, 5 meters north and then drops 12 meters straight down toward the ground. What's the approximate magnitude of the airplane's total displacement?
What is the geometric relationship between distance and displacement?
What is the geometric relationship between distance and displacement?
If an object moves along a semicircle with radius $r$, what are the distance and displacement of the object?
If an object moves along a semicircle with radius $r$, what are the distance and displacement of the object?
A car travels 40 km east and then makes a U-turn and travels 15 km west. What is the magnitude of the car's resultant displacement?
A car travels 40 km east and then makes a U-turn and travels 15 km west. What is the magnitude of the car's resultant displacement?
An object moves 5 meters east, 3 meters north, and then 5 meters west. What is the magnitude of the object's displacement?
An object moves 5 meters east, 3 meters north, and then 5 meters west. What is the magnitude of the object's displacement?
Consider a scenario where a person walks 8 km north, makes a sharp 90-degree turn, and then walks 6 km east. If the person then decides to return directly to their starting point in a straight line, what distance would they need to walk, and what would their overall displacement be for the entire trip?
Consider a scenario where a person walks 8 km north, makes a sharp 90-degree turn, and then walks 6 km east. If the person then decides to return directly to their starting point in a straight line, what distance would they need to walk, and what would their overall displacement be for the entire trip?
A person walks 1 km north, then 1 km east, and then 1 km south. What is the magnitude of the person's resultant displacement? and what is the total distance walked?
A person walks 1 km north, then 1 km east, and then 1 km south. What is the magnitude of the person's resultant displacement? and what is the total distance walked?
A race car completes exactly 10 laps around a circular track of radius 50 meters. Which statement correctly describes the car's total distance traveled and displacement after completing the race?
A race car completes exactly 10 laps around a circular track of radius 50 meters. Which statement correctly describes the car's total distance traveled and displacement after completing the race?
An object's position vector changes from $r_1 = 2i + 3j$ meters to $r_2 = 5i - 2j$ meters in 2 seconds. What is the magnitude of the object's displacement?
An object's position vector changes from $r_1 = 2i + 3j$ meters to $r_2 = 5i - 2j$ meters in 2 seconds. What is the magnitude of the object's displacement?
A point moves in a straight line according to the equation $x = 4t^2 + 3t + 2$, where $x$ is in meters and $t$ is in seconds. What is the displacement of the point between $t = 1$ second and $t = 3$ seconds?
A point moves in a straight line according to the equation $x = 4t^2 + 3t + 2$, where $x$ is in meters and $t$ is in seconds. What is the displacement of the point between $t = 1$ second and $t = 3$ seconds?
A particle moves along a path described by $r(t) = (t^2 - 4t)i + (3t)j$, where $r$ is in meters and $t$ is in seconds. Determine the magnitude of the displacement of the particle from $t = 1$ s to $t = 3$ s.
A particle moves along a path described by $r(t) = (t^2 - 4t)i + (3t)j$, where $r$ is in meters and $t$ is in seconds. Determine the magnitude of the displacement of the particle from $t = 1$ s to $t = 3$ s.
A boat sails from point A to point B, which is 10 km directly northeast. It then changes course and sails to point C, which is 7 km directly east of point B. What is the magnitude of the boat's displacement from point A to point C?
A boat sails from point A to point B, which is 10 km directly northeast. It then changes course and sails to point C, which is 7 km directly east of point B. What is the magnitude of the boat's displacement from point A to point C?
Flashcards
What is Distance?
What is Distance?
The total length of the path traveled by an object.
What is Displacement?
What is Displacement?
Change in position of an object with magnitude and direction.
What is a Scalar?
What is a Scalar?
A quantity with magnitude only.
What is a Vector?
What is a Vector?
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Distance vs. Displacement
Distance vs. Displacement
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What defines a scalar quantity?
What defines a scalar quantity?
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What defines a vector quantity?
What defines a vector quantity?
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How do distance and displacement differ?
How do distance and displacement differ?
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Study Notes
- The activity illustrates the difference between distance and displacement.
- Materials needed: Ruler, meter stick, graphing paper, and pencil
Distance and Displacement
- Distance and displacement are two concepts in physics; they have different meanings and describe different aspects of motion.
- Both are used to describe different aspects of motion.
Distance
- Distance refers to the total length of the path traveled by an object.
- Distance is the total length of the path traveled by an object during a certain period of time.
- Distance is a scalar quantity that is always positive.
- Units of length, such as meters or kilometers, measure distance.
- Distance is a measure of the actual length of the path traveled, regardless of the direction.
- If someone walks 5 kilometers north and then 5 kilometers south, the total distance traveled is 10 kilometers.
Displacement
- Displacement is the change in position of an object.
- Displacement is the change in position of an object during a certain period of time.
- Displacement is a vector quantity that includes both magnitude (length) and direction.
- Length units (meters or kilometers) measure displacement.
- Displacement measures the straight-line distance between the starting and ending points, considering the direction of motion.
- For example, if a person walks 5 kilometers north and then 5 kilometers back to the south, their displacement is 0 kilometers because they end up at the same starting position.
Procedure
- Choose a starting point and measure the distance to another point using a meter stick.
- If at home, measure to any other point.
- If in the classroom, measure the distance from the starting point to the anatomy lab.
- Note the distance and direction of the steps taken.
- Use the component method learned in class to find the displacement using the gathered distance and direction notes.
- Repeat step 1 with a new target location.
- There is a section to record results from a "Shoe Drawer" to an unknown location, and two further tests.
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