Kinematics: Distance and Displacement Quiz

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Questions and Answers

What distinguishes displacement from distance?

  • Displacement cannot be measured in kilometers.
  • Displacement is measured with a scalar number.
  • Displacement has only magnitude.
  • Displacement has both magnitude and direction. (correct)

What term is used to describe the total length of the path traveled by an object?

  • Velocity
  • Displacement
  • Position
  • Distance (correct)

Which of the following is a scalar quantity?

  • Distance (correct)
  • Acceleration
  • Force
  • Displacement

Which of the following best describes a vector quantity?

<p>It has both magnitude and direction. (A)</p> Signup and view all the answers

How is position defined in relation to a reference point?

<p>As the location of an object. (C)</p> Signup and view all the answers

Which of the following units can be used to measure both distance and displacement?

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

Which statement about vector quantities is true?

<p>Vectors can be represented graphically as arrows. (C)</p> Signup and view all the answers

What is NOT a characteristic of scalar quantities?

<p>They have direction. (A)</p> Signup and view all the answers

What does the slope of a Position vs Time Graph indicate about an object's movement?

<p>It represents the object's velocity. (D)</p> Signup and view all the answers

How is speed defined in physics?

<p>As a scalar quantity related to how fast an object is moving. (B)</p> Signup and view all the answers

Which equation correctly represents the calculation of acceleration?

<p>a = (v_f - v_i) / t (A)</p> Signup and view all the answers

What does a zero slope on a Position vs Time Graph indicate?

<p>The object is at rest. (C)</p> Signup and view all the answers

In what scenario would an object have negative acceleration?

<p>When it is moving in the opposite direction of its velocity. (C)</p> Signup and view all the answers

What is the SI unit for velocity?

<p>Meters per second (m/s) (B)</p> Signup and view all the answers

Uniform acceleration refers to which type of motion?

<p>Acceleration that is constant over time. (B)</p> Signup and view all the answers

What is the main difference between speed and velocity?

<p>Velocity takes direction into account while speed does not. (C)</p> Signup and view all the answers

What distinguishes non-uniform acceleration from uniform acceleration?

<p>In non-uniform acceleration, the object's acceleration changes over time. (D)</p> Signup and view all the answers

Which of the following equations is part of the BIG FIVE equations of motion?

<p>v = u + at (C)</p> Signup and view all the answers

In free fall, what value is typically used for the acceleration due to gravity (g)?

<p>9.8 m/s^2 (C)</p> Signup and view all the answers

How can the displacement of an object under uniform acceleration be computed?

<p>With the equation s = ut + 1/2at^2. (D)</p> Signup and view all the answers

What behavior characterizes projectile motion?

<p>The vertical motion experiences acceleration due to gravity. (C)</p> Signup and view all the answers

If a car accelerates uniformly at 5 m/s^2 for 10 seconds, what is its final velocity?

<p>50 m/s (B)</p> Signup and view all the answers

What is the main feature of uniformly accelerated motion?

<p>Acceleration can be positive or negative. (B)</p> Signup and view all the answers

What describes the components of projectile motion?

<p>Horizontal motion experiences uniform velocity and vertical motion is affected by gravity. (D)</p> Signup and view all the answers

Flashcards

Distance

The total length of the path travelled by an object. It is a scalar quantity, meaning it only has magnitude.

Displacement

The change in position of an object from its initial position to its final position. It is a vector quantity, meaning it has both magnitude and direction.

Scalar Quantities

Physical quantities that have only magnitude and no direction.

Vector Quantities

Physical quantities that have both magnitude and direction.

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Position

The location of an object relative to a chosen reference point. It is a vector quantity.

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Velocity

The rate at which an object changes its position. It is calculated by dividing the displacement of an object by the time taken to travel that displacement.

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Acceleration

The rate of change of velocity with respect to time. It is a vector quantity, meaning it has both magnitude and direction.

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Uniform Acceleration

When an object's acceleration is constant over time. This means that the object's velocity changes by the same amount in each unit of time.

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Position vs Time Graph Slope

The slope of a Position vs Time graph is equal to the velocity of the object.

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Position vs Time Graph Y-intercept

The y-intercept represents the initial position of the object.

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Constant Velocity on Position vs Time Graph

When the slope of a Position vs Time Graph is a straight line, the object is moving at a constant velocity.

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Non-uniform Acceleration

Acceleration that changes over time. The object's velocity changes by different amounts in each time unit.

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Uniformly Accelerated Motion

Motion where the acceleration remains constant. Velocity changes at a steady rate.

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BIG FIVE Equations of Motion

A set of equations that describe the motion of an object with constant acceleration. Relates initial velocity, final velocity, acceleration, displacement, and time.

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Projectile Motion

The motion of an object thrown or launched into the air moving under the influence of gravity. Its path is a parabolic curve.

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Free Fall

The special case of uniform acceleration caused by gravity. The acceleration due to gravity is approximately 9.8 m/s² near Earth's surface.

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Study Notes

Kinematics: Distance and Displacement

  • Distance is the total length of the path traveled. It's a scalar quantity (magnitude only).
  • Displacement is the change in position from start to finish. It's a vector quantity (has magnitude and direction).
  • Distance is measured in meters, kilometers, or miles. Generally not emphasised in the AP exam.
  • Displacement is typically represented using a vector with an arrow from initial to final position, also measured in meters/kilometers/miles.

Scalar Quantities

  • Scalar quantities have magnitude only.
  • Examples include mass, temperature, time, speed, distance, energy, and power.
  • Represented by a single numerical value, in standard units.

Vector Quantities

  • Vector quantities have both magnitude and direction.
  • Examples include displacement, velocity, acceleration, force, and momentum.
  • Represented graphically by an arrow. The length of the arrow indicates the magnitude. The direction of the arrow indicates the direction of the vector.
  • Can be added and subtracted using vector algebra.

Position, Velocity, and Acceleration

  • Position is the location of an object relative to a reference point. It is a vector quantity.
  • Velocity is the rate of change of position (displacement over time). A vector quantity.
  • Acceleration is the rate of change of velocity (change in velocity over time). A vector quantity.
  • Position vs. Time graphs show the velocity, Constant slope = constant velocity. Curved slope = acceleration.
  • Velocity vs. Time graphs show the acceleration, Constant slope = constant acceleration.

Speed vs. Velocity

  • Speed is the rate of change of distance (distance over time). Scalar quantity.
  • Velocity is the rate of change of displacement (displacement over time). Vector quantity.

Uniform Acceleration

  • Acceleration is constant over time.
  • Object's velocity changes by the same amount in each unit of time.

Calculating Acceleration

  • Acceleration = (Final Velocity - Initial Velocity) / Time.

Units of Acceleration

  • Standard unit is meters per second squared (m/s²). Other units exist (e.g., ft/s²).

Positive and Negative Acceleration

  • Positive acceleration means the object is speeding up.
  • Negative acceleration means the object is slowing down.

Non-Uniform Acceleration

  • Acceleration changes over time.
  • More complex calculations may be required.

Free Fall

  • Special case of uniform acceleration due to gravity, near the surface of the Earth.
  • Acceleration due to gravity is roughly 9.8 m/s².
  • Formula: distance = 0.5 * acceleration * time².

Uniformly Accelerated Motion (The Big Five Equations)

  • Set of equations to describe motion of objects under constant acceleration.
  • Relate initial velocity, final velocity, acceleration, displacement, and time.
  • Equations include: v = u + at, s = ut + 1/2at², v² = u² + 2as, s = 1/2(u + v)t and a=(v-u)/t

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