Physics Chapter 2: Motion in One Dimension
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Questions and Answers

What is the primary difference between distance and displacement?

  • Distance is a vector quantity, while displacement is a scalar quantity.
  • Displacement depends on the path taken, while distance is the straight-line distance between two points.
  • Distance and displacement are the same concepts.
  • Distance is a scalar quantity, while displacement is a vector quantity. (correct)

Average velocity is calculated by taking the total distance traveled divided by the total time taken.

False (B)

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.

<p>velocity</p> Signup and view all the answers

Match the following terms with their correct definitions:

<p>Distance = Total path length covered irrespective of direction Displacement = Shortest straight-line distance from starting to ending point Velocity = Rate of change of displacement Speed = Rate of change of distance</p> Signup and view all the answers

If a particle moves from position A to position B and then returns to A, what is the displacement?

<p>Zero. (D)</p> Signup and view all the answers

Speed is always greater than or equal to average velocity.

<p>True (A)</p> Signup and view all the answers

What does a steeper slope on a position-time graph indicate?

<p>A higher velocity of the object.</p> Signup and view all the answers

What is the formula for average speed?

<p>Total distance travelled / Total time (D)</p> Signup and view all the answers

Average speed is a vector quantity that includes direction.

<p>False (B)</p> Signup and view all the answers

What is the average velocity of a car that moves from point A (30m) to point F (-53m) in 50 seconds?

<p>-1.7 m/s</p> Signup and view all the answers

The average velocity is calculated by dividing __________ by total time.

<p>displacement</p> Signup and view all the answers

Match the quantities with their correct definitions:

<p>Displacement = The change in position of an object Distance = The total path travelled regardless of direction Average Speed = Total distance travelled divided by time taken Average Velocity = Displacement divided by time taken</p> Signup and view all the answers

Which of the following correctly describes instantaneous velocity?

<p>The velocity at a single point in time (B)</p> Signup and view all the answers

If the slope of a position-time graph is negative, the object is moving to the right.

<p>False (B)</p> Signup and view all the answers

The total distance travelled from point A to point F is __________ meters.

<p>127</p> Signup and view all the answers

What is the primary difference between distance and displacement?

<p>Distance is a scalar quantity, while displacement is a vector quantity. (C)</p> Signup and view all the answers

The average velocity can be calculated by dividing the total distance traveled by the total time taken.

<p>False (B)</p> Signup and view all the answers

What happens to the velocity when the acceleration is negative?

<p>The velocity decreases.</p> Signup and view all the answers

The slope of a position-time graph represents the _____ of an object.

<p>velocity</p> Signup and view all the answers

Match the following terms related to motion with their definitions:

<p>Distance = Total path length traveled Displacement = Change in position from start to finish Velocity = Rate of change of position Acceleration = Rate of change of velocity</p> Signup and view all the answers

If a particle's position is given by the equation $x = 2 + 3t - 4t^2$, what is its initial position when t=0?

<p>2 meters (D)</p> Signup and view all the answers

An object moving in uniform velocity has a zero acceleration.

<p>True (A)</p> Signup and view all the answers

What is the formula for calculating average speed?

<p>Total distance / Total time</p> Signup and view all the answers

Flashcards

Displacement

Change in position of a particle, a vector quantity.

Average Velocity

The ratio of displacement to the time interval.

Position-Time Graph

A graph showing the position of a particle at different times.

Slope of position-time graph

Represents the average velocity.

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Displacement vs Distance

Displacement is the direct path, while distance is the total path.

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Vector

A quantity with both magnitude (size) and direction

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Time Interval

The difference between the initial and final time.

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Average velocity

Describes overall rate of change of position.

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Uniform Acceleration

Constant rate of change in velocity over time

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Position Equation (Constant Acceleration)

x = x₀ + v₀t + ½at²

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Velocity Equation (Constant Acceleration)

v = vâ‚€ + at

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Change in Direction

When an object's velocity changes sign—from positive to negative or vice versa.

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Finding Time at Change in Direction

The time it takes for an object experiencing constant acceleration, to change its direction is found when its velocity is zero.

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Position at Change in Direction

The position of the object when its direction reverses, using the position equation relating to the time calculated when the velocity was zero.

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x = 2 + 3t – 4

Equation describing position (x) as a function of time (t) ; with initial conditions: initial position; initial velocity; acceleration.

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Finding Acceleration

Using the position–time relationship to find the acceleration of an object with uniformly accelerated motion, given its initial and final positions, and initial and final times of observation.

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Average Speed

Total distance traveled divided by total time.

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Average Velocity

Displacement divided by the time taken.

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Displacement(Δx)

Change in position, from initial to final position.

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Instantaneous Velocity

Velocity at a specific point in time. Calculated as the slope of a position-time graph at that point.

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Scalar quantity

A quantity that has only magnitude (size) but no direction.

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Vector quantity

A quantity that has both magnitude and direction.

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Position at a time

Location at a particular instant on a coordinate system.

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Time, (t)

Duration of an event or process.

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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.

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