Physics Class on Motion and Displacement

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Questions and Answers

A car travels 10 km east, then 5 km west. What is the total distance travelled by the car?

  • 15 km (correct)
  • 20 km
  • 10 km
  • 5 km

A car travels 10 km east, then 5 km west. What is the displacement of the car?

  • 5 km east (correct)
  • 5 km west
  • 15 km east
  • 15 km west

A ball is thrown vertically upwards and then returns to the thrower's hand. Which of the following statements is true about the ball's motion?

  • The total displacement of the ball is zero. (correct)
  • The total distance travelled by the ball is zero.
  • The ball's displacement is the same as the distance travelled.
  • The ball's velocity is constant throughout the motion.

Which of the following is a vector quantity?

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

A student walks 5 meters north, then 3 meters south. What is the student's displacement?

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

A car travels 10 km east, then 5 km west, and finally 2 km east. What is the car's total displacement?

<p>7 km east (D)</p> Signup and view all the answers

A ball is thrown vertically upwards and reaches a maximum height of 5 meters. What is the ball's displacement when it returns to the point where it was thrown?

<p>0 meters (D)</p> Signup and view all the answers

A car travels 10 km east, then 5 km west, and finally 3 km south. What is the total distance traveled by the car?

<p>18 km (C)</p> Signup and view all the answers

A car travels 10 km east, then 5 km west, and finally 3 km south. What is the car's displacement?

<p>8 km south (D)</p> Signup and view all the answers

A runner completes a 400-meter track race in 50 seconds. What is the runner's average speed?

<p>8 m/s (A)</p> Signup and view all the answers

An object moves 10 meters east, then 5 meters west, then 3 meters south. What is the object's average velocity?

<p>8 m/s south (B)</p> Signup and view all the answers

A car travels at a constant speed of 60 km/h for 2 hours. What is the total distance traveled by the car?

<p>120 km (D)</p> Signup and view all the answers

Which of the following statements best describes the relationship between speed and velocity?

<p>Speed is the magnitude of velocity. (A)</p> Signup and view all the answers

An object is moving at a constant velocity. Which statement is TRUE about its acceleration?

<p>The object is not accelerating. (B)</p> Signup and view all the answers

In a displacement-time graph, what does the gradient of the line represent?

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

What does the area under a velocity-time graph represent?

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

If a car is traveling at a constant velocity, what would the shape of its velocity-time graph look like?

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

If a car is accelerating at a constant rate, what would the shape of its velocity-time graph look like?

<p>A diagonal line with a positive gradient (C)</p> Signup and view all the answers

If a car is decelerating, what would the shape of its velocity-time graph look like?

<p>A diagonal line with a negative gradient (D)</p> Signup and view all the answers

If a car is at rest, what is its velocity?

<p>0 m/s (A)</p> Signup and view all the answers

What does the gradient of a velocity-time graph represent?

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

If a car is moving with constant acceleration, what would the shape of its acceleration-time graph look like?

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

What is the acceleration of the car between 4 s and 18 s?

<p>0 m/s² (A)</p> Signup and view all the answers

The acceleration due to gravity is approximately 10 m/s². What is the direction of this acceleration?

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

Which of the following statements is TRUE about objects in free fall?

<p>Objects in free fall experience a constant acceleration. (C)</p> Signup and view all the answers

What is the equation for calculating the final velocity (v) of an object undergoing uniformly accelerated motion?

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

A car is traveling at a constant velocity. What can be concluded about the acceleration of the car?

<p>The car is not accelerating. (A)</p> Signup and view all the answers

What is the acceleration of the car during the last two seconds of its journey (on section BC)?

<p>-1 m/s² (A)</p> Signup and view all the answers

What is the acceleration of the car for the first 4 seconds of its journey (on section OA)?

<p>1.5 m/s² (B)</p> Signup and view all the answers

What is the total distance travelled by the car in the first 4 seconds of its journey?

<p>12 m (A)</p> Signup and view all the answers

A car accelerates uniformly from rest. Which of the following statements is TRUE?

<p>The car's acceleration is constant. (D)</p> Signup and view all the answers

A ball is thrown vertically upwards. At the highest point of its motion, what is the ball's velocity?

<p>0 m/s (C)</p> Signup and view all the answers

A car is traveling at a constant velocity of 20 m/s. If the car suddenly accelerates at a rate of 5 m/s² for 4 seconds, what is the final velocity of the car?

<p>40 m/s (A)</p> Signup and view all the answers

A stone is thrown vertically upwards with an initial velocity of 15 m/s. What is the stone's velocity after 2 seconds?

<p>5 m/s downwards (C)</p> Signup and view all the answers

An object is dropped from rest and falls freely under the influence of gravity. What is the object's acceleration?

<p>9.8 m/s² downwards (A)</p> Signup and view all the answers

A rocket is launched vertically upwards. What is the rocket's acceleration at the moment it reaches its maximum height?

<p>9.8 m/s² downwards (D)</p> Signup and view all the answers

If a car is traveling at a constant velocity, what does this mean about its acceleration?

<p>It is not accelerating. (C)</p> Signup and view all the answers

Two identical balls are thrown vertically upwards, one with an initial velocity of 5 m/s and the other with an initial velocity of 10 m/s. Which ball takes longer to reach its maximum height?

<p>The ball with an initial velocity of 10 m/s (D)</p> Signup and view all the answers

A ticker-tape timer makes 60 dots per second. If a tape shows 8 intervals, what is the time taken?

<p>0.133 s (D)</p> Signup and view all the answers

In a ticker-tape timer, if the dots are spaced far apart, what does it indicate about the object's motion?

<p>The object is accelerating. (D)</p> Signup and view all the answers

A ticker tape timer produces dots at a rate of 50 Hz. If a section of the tape shows 15 intervals, how far did the object travel if the length of the tape is 9 cm?

<p>30 cm/s (D)</p> Signup and view all the answers

What is the frequency of a ticker-tape timer if it produces 10 dots in 0.5 seconds?

<p>20 Hz (A)</p> Signup and view all the answers

A ticker-tape timer is used to analyse the motion of a toy car. The dots on the tape are evenly spaced. What can you conclude about the car's motion?

<p>The car is moving at a constant speed. (B)</p> Signup and view all the answers

A ticker-tape timer is used to record the motion of an object. The frequency of the timer is 40 Hz. The tape shows 5 intervals between two dots. What is the time taken for the object to travel between these dots?

<p>0.125 s (D)</p> Signup and view all the answers

A ticker tape timer makes 100 dots per second. A student measures a section of tape with 6 intervals. What is the distance travelled in this section of tape if the speed of the object is 2 m/s?

<p>1.2 m (A)</p> Signup and view all the answers

A ticker-tape timer is set to record the motion of a toy train. The train is initially at rest, then accelerates, and finally moves at a constant speed. Which of the following accurately describes the appearance of the dots on the tape?

<p>The dots will be closer together at the beginning of the tape and then further apart. (D)</p> Signup and view all the answers

Flashcards

Vector Quantity

A physical quantity with both magnitude and direction.

Distance

Total length covered by a moving object, regardless of direction.

Displacement

Straight line distance in a specified direction from the starting point.

Direction of Vector

Specified using angles or directional words (e.g., North, 25°).

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Scalar Quantity

A quantity that only has magnitude, like distance.

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Examples of Vector Quantities

Includes displacement, velocity, acceleration, force, and moment of a force.

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Sign Convention

Decision to use positive and negative signs to denote direction.

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Total Distance vs. Displacement

Total distance is the entire path length; displacement is the straight-line distance.

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Displacement at highest point

The position of the ball at its peak height, given as +0.5 m.

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Displacement at lowest point

The position of the ball at its lowest point, stated as -1.5 m.

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Speed vs Velocity

Speed is how fast an object moves, while velocity includes direction.

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Average Speed

Total distance traveled divided by total time taken.

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Instantaneous Speed

Speed at a specific moment in time.

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Rate of Change of Distance

How quickly distance increases over time, a measure of speed.

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Rate of Change of Displacement

How quickly displacement (change in position) increases over time.

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Graphical Representation of Speed

Finding instantaneous speed by determining the graph's slope at a point.

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Constant acceleration

Acceleration remains the same over a period of time.

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Acceleration of free fall

Approx. 10 m/s² for objects near Earth's surface.

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Gravitational force

The force that pulls objects towards the Earth.

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Free fall

Motion of an object falling under gravity only.

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Equations of motion

Formulas used to solve problems of motion with constant acceleration.

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Uniformly accelerated motion

Motion with a constant acceleration over time.

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Initial velocity (u)

The speed of an object before it accelerates.

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Final velocity (v)

The speed of an object after acceleration.

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Positive Gradient

Indicates motion towards the right on a graph.

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Velocity-Time Graph

Graph that shows how velocity changes over time.

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Gradient of Displacement-Time Graph

Represents the velocity of an object.

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Area under Velocity-Time Graph

Represents the change in displacement.

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Acceleration-Time Graph

Graph showing how acceleration changes over time.

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Change in Velocity

The difference between final and initial velocity.

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Non-Uniform Acceleration

When an object accelerates but not at a constant rate.

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Ticker-Tape Timer

A device that records motion on tape using dots at intervals.

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Measuring Speed

Speed is calculated by dividing distance by time.

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Distance Measurement

The total length of the path an object travels.

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Time Measurement

Total time taken for an object to travel a distance.

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Frequency in Ticker-Tape

The number of dots created per second in ticker-tape.

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Interval Time Calculation

Time for each interval is determined by frequency.

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Speed Calculation Example

Example: Speed = 12.0 cm ÷ 0.20 s = 60.0 cm/s.

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Dot Spacing Interpretation

Closer dots indicate slower speed; further apart means faster speed.

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Acceleration

Change in velocity over time, represented by a = (v - u) / t.

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Gradient of v-t graph

The slope of the velocity-time graph represents acceleration.

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First equation of motion

v = u + at; relates final velocity to initial velocity and acceleration.

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Second equation of motion

s = ut + ½at²; calculates distance with initial speed and time.

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Third equation of motion

v² = u² + 2as; relates final velocity, initial velocity, and displacement.

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Vertical motion

Motion upward or downward under gravity, affected by initial speed and acceleration.

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Study Notes

Kinematics

  • Content: Speed, Velocity, Acceleration, Graphical Analysis of Motion, Acceleration of Free-Fall
  • Learning Outcomes: Students should be able to define and calculate speed and velocity, calculate average speed, define and calculate uniform acceleration, interpret displacement-time and velocity-time graphs, calculate displacement traveled for uniform velocity or uniform acceleration, and identify the acceleration of free-fall near Earth.
  • References: Chew, C., et al. (2023). GCE 'O' Level Physics Matters (5th ed). Marshall Cavendish Education.
  • Notes Outline: Scalars and Vectors, Distance and Displacement, Speed and Velocity, Calculating Speed (using ticker-tape timer), Acceleration, Graphs of Motion, and Acceleration of Free Fall.
  • Scalars and Vectors: Physical quantities with magnitude only (scalars) and physical quantities with magnitude and direction (vectors). Examples of scalars include time, length, mass, energy, and examples of vectors include displacement, velocity, acceleration, and force.
  • Distance and Displacement: Distance is the total length covered by an object, while displacement is the straight-line distance between the initial and final positions of an object.
  • Speed and Velocity: Speed is the rate of change of distance, and velocity is the rate of change of displacement. Both are measured in meters per second (m/s), but velocity is a vector quantity meaning it has direction.
  • Calculating Speed: The ticker-timer is a device used with a moving object to determine speed. The dots along the tape represent regular intervals of time. The distance traveled by the object is measured and is divided by the time.
  • Acceleration: Is the rate of change of velocity. Calculated by (change in velocity over time taken). It has magnitude and direction and is measured in m/s². There is acceleration if there is a change in speed, direction, or both.
  • Graphs of Motion: Displacement-time graphs show the change in position over time. Velocity-time graphs show the change in velocity over time. Acceleration-time graphs show the change in acceleration over time. Information about motion, acceleration, speed, etc, can be determined from gradients and areas under the curves in these graphs.
  • Acceleration of Free Fall: The acceleration of an object due to gravity near Earth is constant and approximately 10 m/s².

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