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What is the primary difference between distance and displacement?
What is the primary difference between distance and displacement?
Average velocity is calculated by taking the total distance traveled divided by the total time taken.
Average velocity is calculated by taking the total distance traveled divided by the total time taken.
False
How is average velocity defined mathematically?
How is average velocity defined mathematically?
Average velocity (V) = Displacement (ΔX) / Time interval (Δt)
In a position-time graph, the slope represents the _____ of the object.
In a position-time graph, the slope represents the _____ of the object.
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Match the following terms with their correct definitions:
Match the following terms with their correct definitions:
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If a particle moves from position A to position B and then returns to A, what is the displacement?
If a particle moves from position A to position B and then returns to A, what is the displacement?
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Speed is always greater than or equal to average velocity.
Speed is always greater than or equal to average velocity.
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What does a steeper slope on a position-time graph indicate?
What does a steeper slope on a position-time graph indicate?
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What is the formula for average speed?
What is the formula for average speed?
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Average speed is a vector quantity that includes direction.
Average speed is a vector quantity that includes direction.
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What is the average velocity of a car that moves from point A (30m) to point F (-53m) in 50 seconds?
What is the average velocity of a car that moves from point A (30m) to point F (-53m) in 50 seconds?
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The average velocity is calculated by dividing __________ by total time.
The average velocity is calculated by dividing __________ by total time.
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Match the quantities with their correct definitions:
Match the quantities with their correct definitions:
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Which of the following correctly describes instantaneous velocity?
Which of the following correctly describes instantaneous velocity?
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If the slope of a position-time graph is negative, the object is moving to the right.
If the slope of a position-time graph is negative, the object is moving to the right.
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The total distance travelled from point A to point F is __________ meters.
The total distance travelled from point A to point F is __________ meters.
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What is the primary difference between distance and displacement?
What is the primary difference between distance and displacement?
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The average velocity can be calculated by dividing the total distance traveled by the total time taken.
The average velocity can be calculated by dividing the total distance traveled by the total time taken.
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What happens to the velocity when the acceleration is negative?
What happens to the velocity when the acceleration is negative?
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The slope of a position-time graph represents the _____ of an object.
The slope of a position-time graph represents the _____ of an object.
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Match the following terms related to motion with their definitions:
Match the following terms related to motion with their definitions:
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If a particle's position is given by the equation $x = 2 + 3t - 4t^2$, what is its initial position when t=0?
If a particle's position is given by the equation $x = 2 + 3t - 4t^2$, what is its initial position when t=0?
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An object moving in uniform velocity has a zero acceleration.
An object moving in uniform velocity has a zero acceleration.
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What is the formula for calculating average speed?
What is the formula for calculating average speed?
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Study Notes
Distance vs Displacement
- Distance is the total length of the path traveled by an object.
- Displacement is the change in position of an object from its initial point to its final point. It is a vector quantity, meaning it has both magnitude and direction.
Average Velocity
- Average velocity is the rate of change of displacement over time.
- Mathematical definition: Average velocity = (Final displacement - Initial displacement) / Total time.
Position-Time Graph
- The slope of a position-time graph represents the velocity of the object.
- A steeper slope indicates a higher velocity.
- A negative slope indicates that the object is moving in the opposite direction of the positive direction.
Matching Terms
- Speed is the rate at which an object covers distance. It is a scalar quantity, meaning it only has magnitude.
- Average speed is the total distance traveled divided by the total time taken.
- Instantaneous velocity is the velocity of an object at a particular instant in time.
- Acceleration is the rate of change of velocity.
Calculating Average Velocity
- The total distance traveled from point A (30m) to point F (-53m) is 83 meters.
- The average velocity of the car is -1.66 m/s.
- This is calculated by dividing the total displacement (-83m) by the total time (50 seconds).
Additional Information
- Speed is always greater than or equal to average velocity. This is because speed considers the total distance traveled, while average velocity considers only the displacement.
- If the acceleration is negative, the velocity will decrease.
- The initial position of a particle with position equation x = 2 + 3t - 4t^2 is 2 meters when t=0.
- An object moving in uniform velocity has zero acceleration.
- The formula for calculating average speed is: Average speed = Total distance traveled / Total time taken.
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Description
Test your knowledge on the concepts of motion in one dimension with this quiz. Explore fundamental topics such as displacement, velocity, and acceleration. This quiz will help you reinforce your understanding of both qualitative and quantitative aspects of motion.