Physics Chapter 2: Motion in One Dimension
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Questions and Answers

What is the correct definition of displacement?

  • The average speed of a particle over a period of time.
  • The instantaneous speed at a specific moment.
  • The total distance traveled by a particle.
  • The change in position of a particle, represented as a vector. (correct)

Displacement is the same as the total distance traveled by an object.

False (B)

What is the formula for average speed?

  • Average Speed = Total distance + Total time
  • Average Speed = Total distance / Total time (correct)
  • Average Speed = Total time / Total distance
  • Average Speed = Displacement / Time

What is the formula for calculating average velocity?

<p>V_avg = ΔX / Δt</p> Signup and view all the answers

Average speed is a vector quantity.

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

The slope of the straight line on a position-time graph indicates the __________.

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

What is the total displacement from point A to point F?

<p>-83</p> Signup and view all the answers

Match the terms with their definitions:

<p>Displacement = A vector quantity representing change in position Average Velocity = Displacement divided by time interval Acceleration = Rate of change of velocity Speed = Distance traveled per unit time without direction</p> Signup and view all the answers

The formula for average velocity is average velocity = _____ / total time.

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

What is the average velocity of the car moving from point A to point F?

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

What does the term 'average velocity' specifically refer to?

<p>The ratio of displacement to the time taken. (C)</p> Signup and view all the answers

Instantaneous velocity can be determined from the slope of the tangent line on a position-time graph.

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

The total distance travelled from A to B and B to F is 127 meters.

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

What distinguishes displacement from distance traveled?

<p>Displacement is a vector quantity that considers direction, while distance is a scalar quantity that only considers magnitude.</p> Signup and view all the answers

As the time interval approaches zero, the limit of average velocity becomes _____ velocity.

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

Match the following terms with their definitions:

<p>Average Speed = Total distance travelled divided by total time Displacement = The overall change in position Instantaneous Velocity = Velocity at a specific moment Scalar Quantity = A quantity with magnitude only</p> Signup and view all the answers

What is the value of acceleration when an object moves from x = 3.00 cm with a velocity of 72.0 cm/s to x = -5.00 cm over 2.00 s?

<p>-160 cm/s² (D)</p> Signup and view all the answers

The equation for velocity includes acceleration as a constant term.

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

What is the object's position when it changes direction based on the equation x = 2 + 3t - 4?

<p>2 m</p> Signup and view all the answers

The equation for position as a function of time is given by _______.

<p>x = 2 + 3t - 4</p> Signup and view all the answers

Match the following properties to their respective values:

<p>Initial Position (x_i) = 3.00 cm Initial Velocity (v_i) = 72.0 cm/s Final Position (x_f) = -5.00 cm Time Interval (t) = 2.00 s</p> Signup and view all the answers

How far does the particle move in the first ten seconds if its velocity is constant at 5.00 m/s?

<p>100 m (D)</p> Signup and view all the answers

What is the velocity equation derived from the given information for a particle moving with uniform acceleration?

<p>v = 3.00 - 8.00t</p> Signup and view all the answers

A velocity of zero indicates that the particle is at rest.

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

Flashcards

Displacement

Change in position of a particle, a vector quantity represented as the difference between final and initial positions.

Average Velocity

The rate of change of displacement over a given time interval.

Position-Time Graph

Graph showing an object's position at different times.

Displacement vs. Distance

Displacement is the direct path between two points, while distance is the total path covered.

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Slope of a line

In a position-time graph, the slope of the line represents the average velocity.

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Vector Quantity

A quantity having both magnitude and direction.

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Time Interval

The difference between the final and initial time.

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Units of Velocity

Measured in meters per second (m/s) in the SI system, other units may exist.

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Average Speed

The total distance traveled divided by the total time taken to travel that distance.

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Total Distance

The total length of the path traveled, regardless of direction.

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Total Time

The overall duration of the journey.

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Displacement

The change in position from the starting point to the ending point.

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Average Velocity

The displacement divided by the total time taken.

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Scalar Quantity

A physical quantity that has only magnitude (size), such as speed.

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Instantaneous Velocity

The velocity of an object at a specific instant in time.

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Slope of a Velocity-Time Graph

Determining the instantaneous velocity, the slope represents the rate of change of position with time.

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Uniform Acceleration

Motion with a constant rate of change in velocity.

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Position Equation (1D)

Equation describing an object's position as a function of time, under constant acceleration. Usually x = x₀ + v₀t + ½at²

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Velocity Equation (1D)

Equation to determine velocity at any given point in time under acceleration: v = vâ‚€ + at

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Change in Direction

When an object's velocity changes sign (e.g. from positive to negative).

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Position Equation (x)

Calculating position (x) given initial conditions, uniform acceleration, and time.

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Velocity = 0

An object changing direction has a velocity (v) of 0.

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Acceleration Calculation (1D)

Determine acceleration (a) with known positions, velocities, and times.

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Equation of Position in 1D Motion

Finding the object's position (x) at any given time, with known intial conditions and acceleration. The equation is expressed as x = x₀ + v₀t + (1/2)at².

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Study Notes

Course Content

  • Chapters cover Physical Quantities, Units, and Dimensions (1 week)
  • Motion in one Dimension (2 weeks)
  • Vector Analysis (2 weeks)
  • Waves, Oscillations, and Sound (2 weeks)
  • Light, Lenses, and Mirrors (2 weeks)
  • Heat and Thermodynamics (2 weeks)
  • Electricity and Magnetism (2 weeks)

Chapter 2: Motion in One Dimension

  • Topics: Position, Velocity, Speed, Instantaneous Velocity, Speed, Acceleration, One-dimensional motion with constant acceleration, Vector analysis

Chapter 2.1 Displacement, Velocity, and Speed

  • Displacement: Change in a particle's position; a vector quantity
  • ∆x = xf - xi
    • if xf > xi, ∆x is positive (+)
    • if xf < xi, ∆x is negative (-)
  • Displacement is not equal to distance traveled
  • Distance traveled = AC + CB
  • Displacement = AB

Chapter 2.2 Instantaneous Velocity and Speed

  • Instantaneous velocity: The limit of the average velocity as the time interval approaches zero.
  • vx = lim∆t→0 ∆x / ∆t = dx/dt
  • The slope of the tangent line on a position-time graph is equal to instantaneous velocity.
  • Instantaneous velocity can be positive, negative, or zero.
  • Instantaneous speed: Magnitude of the instantaneous velocity

Chapter 2.3 Acceleration

  • Acceleration: Rate of change of velocity.
  • ax = ∆vx/∆t = dvx/dt.
  • ax: Average acceleration, ∆vx: Change in velocity
  • SI units: m/s²

Chapter 2.5 One-Dimensional motion with constant acceleration

  • Velocity changes at a constant rate
  • Velocity-time graph is a straight line.
  • Equations: vf = vi + at, xf - xi = .5 * (vf + vi)t, xf - xi = vit + .5at2, vf2 = vi2 + 2a*(xf - xi)

Additional Information

  • Example Problems: Include worked-out examples illustrating calculations related to displacement, velocity, and acceleration.
  • Problem Solving Strategy: Outline a step-by-step approach for solving problems involving motion.
  • Units and Dimensions: Be familiar with SI and British engineering units, and the dimensions of physics quantities.

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Physics Lec 2 PDF

Description

This quiz covers essential concepts from Chapter 2 on Motion in One Dimension, focusing on displacement, velocity, speed, and acceleration. Test your understanding of one-dimensional motion and vector analysis as presented in your studies. Prepare to evaluate your grasp on how these concepts apply to real-world situations.

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