Physics: Acceleration and Motion
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Questions and Answers

What is the acceleration of an object falling freely near Earth's surface?

  • 8.5 m/s²
  • 9.8 m/s² (correct)
  • 10.2 m/s²
  • 9.5 m/s²

    • A car accelerates from rest at 2 m/s². How long would it take to reach a speed of 36 km/h?

  • 12 s
  • 18 s
  • 15 s (correct)
  • 10 s

    • What is the definition of acceleration?

  • Change in acceleration per unit time
  • Change in speed per unit time
  • Change in displacement per unit time
  • Change in velocity per unit time (correct)

    • A rocket accelerates from rest at 6 m/s² for 5 seconds. What is its final velocity?

    <p>30 m/s</p> Signup and view all the answers

    What is the deceleration of a plane landing on a runway?

    <p>6.25 m/s²</p> Signup and view all the answers

    What symbol is used to represent acceleration due to gravity?

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

    A runner accelerates from rest at 1.1 m/s² for 8.5 seconds. What is the runner's final velocity?

    <p>9.35 m/s</p> Signup and view all the answers

    A cheetah accelerates from 4.2 m/s to 120 km/h. What is the cheetah's acceleration?

    <p>9.5 m/s²</p> Signup and view all the answers

    What can be easily found from a velocity-time graph?

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

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

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

    What is the acceleration of the plane if the velocity-time graph is linear?

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

    What is the motion of an object represented by a horizontal line on a velocity-time graph?

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

    What does a negative slope on a velocity-time graph represent?

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

    What is the purpose of sketching a graph into shapes and finding the area of each shape?

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

    What type of graph is used to easily find the position and velocity?

    <p>Position-time graph</p> Signup and view all the answers

    What is the acceleration of an object represented by a line with a constant slope on a velocity-time graph?

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

    How long does it take for the Mars rover, Curiosity, to travel 1 km?

    <p>7.14 hours</p> Signup and view all the answers

    What is the train's displacement after travelling 134 km?

    <p>134 km [E]</p> Signup and view all the answers

    What is the acceleration of a jet that travels 785 m [W] in 2.39 s?

    <p>3.29 m/s² [W]</p> Signup and view all the answers

    What is the rate of change of velocity?

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

    What is the horse's acceleration in Example 1?

    <p>2.2 m/s² [N]</p> Signup and view all the answers

    What is the unit of acceleration?

    <p>m/s²</p> Signup and view all the answers

    What is the direction of acceleration?

    <p>Same as the change in velocity</p> Signup and view all the answers

    What is required to solve an acceleration problem?

    <p>3 values</p> Signup and view all the answers

    Study Notes

    Acceleration and Motion

    • Acceleration is the rate of change of velocity, describing how quickly an object's velocity changes.
    • Acceleration is a vector quantity, with both magnitude and direction.
    • The direction of acceleration is defined as the direction of the change in velocity.

    Calculating Acceleration

    • The formula to calculate acceleration is: 𝑎⃑ = (∆𝑣⃑) / (∆𝑡)
    • To solve an acceleration problem, you need to know three values to solve for the fourth.

    Units and Directions

    • Acceleration takes its direction from the change in velocity.
    • It is essential to define the positive direction to solve acceleration problems.
    • Key phrases like "from rest" or "to a stop" indicate the initial or final velocity.

    Graphical Analysis

    • Position-time graphs and velocity-time graphs can be used to find position and velocity.
    • Acceleration can be easily found from the velocity-time graph.
    • A linear velocity-time graph indicates constant acceleration.

    Example Problems

    • A cruise ship can accelerate at 0.01 m/s². To reach a speed of 25 km/h from rest, it would take a certain amount of time.
    • A runner can maintain a constant acceleration of 1.1 m/s² for 8.5 seconds. The distance covered can be calculated.
    • A plane lands and comes to a complete stop through 180 m of runway with a deceleration of 6.25 m/s². The initial velocity can be determined.
    • A cheetah can accelerate at a constant rate of 9.5 m/s². The time it takes to reach its top speed from an initial velocity can be calculated.

    Gravity and Acceleration

    • Acceleration due to gravity is used frequently and is given the symbol g.
    • The average value of g is 9.8 m/s², but it can vary slightly around the world.

    Motion and Velocity

    • A train travels at a certain speed, and its destination is a certain distance away. The time until it arrives can be calculated.
    • The Mars rover, Curiosity, has a maximum speed and can travel a certain distance in a certain time. The displacement can be calculated.
    • A jet travels a certain distance in a certain time, and its velocity can be calculated.

    Graphical Representation

    • Position-time graphs, velocity-time graphs, and acceleration-time graphs can be used to represent motion.
    • The slope of a velocity-time graph relates to the acceleration.
    • Horizontal lines and lines with negative slopes can be used to describe motion.
    • The area under a velocity-time graph can be used to find the displacement.

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    Description

    Learn about acceleration, its formula, and how to calculate it. Understand the concept of acceleration as a vector quantity with magnitude and direction.

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