Physics Motion with Constant Acceleration
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Questions and Answers

Which of the following is a vector quantity?

  • Distance
  • Speed
  • Mass
  • Displacement (correct)

    • Average speed is a scalar quantity.

    True

    What is the formula to calculate acceleration?

    a = ∆v / ∆t

    A train's change in velocity is found to be ____ m/s over a 30 second interval.

    <p>-8</p> Signup and view all the answers

    Match the following terms with their definitions:

    <p>Velocity = Speed with direction Acceleration = Change in velocity over time Distance = Total path covered, regardless of direction Displacement = Shortest path from start to end point</p> Signup and view all the answers

    If a runner completes a 100-meter dash in 8 seconds, what is their average speed?

    <p>12.5 m/s</p> Signup and view all the answers

    Distance can be negative when calculating motion.

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

    What was the final velocity of the airplane that started at 70.0 m/s and decelerated at 1.50 m/s² for 40.0 seconds?

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

    Which of the following is a vector quantity?

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

    Average speed is defined as total distance divided by total displacement.

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

    What is the average speed if a teacher travels a distance of 10.6 km in 15 minutes?

    <p>11.7 m/s</p> Signup and view all the answers

    The equation for velocity is v = Δx / ______.

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

    If a car travels north with a velocity of 33 m/s for 2 minutes, what is its displacement?

    <p>3960 m north</p> Signup and view all the answers

    Distance is always greater than or equal to displacement.

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

    Calculate the average velocity if the displacement is 50 m and the time taken is 5 s.

    <p>10 m/s</p> Signup and view all the answers

    Match the following terms with their definitions:

    <p>Speed = Distance traveled per unit of time Velocity = Speed in a given direction Displacement = The shortest path between two points Average Speed = Total distance divided by total time</p> Signup and view all the answers

    What is the acceleration of the car moving uphill?

    <p>-1.6 m/s²</p> Signup and view all the answers

    All freely falling objects fall with the same acceleration, regardless of their mass.

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

    What is the value of acceleration due to gravity?

    <p>10 m/s²</p> Signup and view all the answers

    The velocity of a brick dropped from a height after 4.0 seconds is _____ m/s.

    <p>40</p> Signup and view all the answers

    Match the following examples with their corresponding quantities:

    <p>Distance = Total path covered regardless of direction Displacement = Change in position from start to end Speed = Rate of change of distance Velocity = Rate of change of displacement</p> Signup and view all the answers

    How far does the tennis ball rise when thrown straight up with an initial speed of 22.5 m/s?

    <p>25.3 m</p> Signup and view all the answers

    At the highest point of an object's trajectory, both velocity and acceleration are zero.

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

    What is the time taken for an object thrown vertically upwards with an initial velocity of 20 m/s to reach its maximum height?

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

    Study Notes

    Motion with Constant Acceleration

    • Change in velocity is the final velocity minus the initial velocity.
    • Acceleration can be calculated by dividing the change in velocity by the time taken.
    • A negative acceleration indicates that the object is slowing down.

    Worked Examples

    • Worked Example 13: A runner completes a 100-meter dash in 8 seconds, having an average speed of 12.5 meters per second.
    • Worked Example 14: A car accelerates from 0 to 30 meters per second in 2 seconds, with an average acceleration of 15 meters per second squared.
    • Worked Example 15: An aircraft accelerates from rest at 8 meters per second squared for 400 meters, taking approximately 10 seconds to reach that distance.
    • Worked Example 16: A test car accelerates from rest at 4 meters per second squared over 200 meters, reaching a final speed of 40 meters per second.
    • Worked Example 17: A car accelerates uniformly at 0.25 meters per second squared, taking 20 seconds to cover 50 meters.
    • Worked Example 18: An airplane lands with an initial velocity of 70 meters per second and decelerates at 1.5 meters per second squared for 40 seconds, reaching a final velocity of 10 meters per second.
    • Worked Example 19: Blood accelerates from rest to 30 meters per second over a distance of 1.8 meters, with an acceleration of 250 meters per second squared and an acceleration time of 0.12 seconds.
    • Worked Example 20: A dragster accelerates from rest at a rate of 26 meters per second squared for 5.56 seconds, achieving a final speed of 144.56 meters per second.

    Velocity

    • Velocity is a vector quantity, meaning it has both magnitude (speed) and direction.
    • It is calculated by dividing the displacement by the time taken.

    Worked Examples

    • Worked Example 1: A car travels from point A to point F, undergoing a displacement of -23 meters, an average velocity of -0.46 meters per second, and an average speed of 0.94 meters per second.
    • Worked Example 2: A teacher drives 10.6 kilometers in 15 minutes, having an average speed of 11.7 meters per second.
    • Worked Example 3: A car travels north at a velocity of 33 meters per second for 2 minutes, resulting in a displacement of 3960 meters north.
    • Worked Example 4: A helicopter flies a route, stopping for 30 minutes to collect cargo, taking 4 hours to complete the entire journey. The total distance traveled remains unspecified in the example.

    Freely Falling Objects

    • In the absence of air resistance, all objects fall with the same acceleration due to gravity, regardless of their mass.
    • The acceleration of freefall (g) is approximately 10 meters per second squared.

    Common Misconceptions about Freely Falling Objects

    • The acceleration and velocity are not always in the same direction; for example, when an object is thrown upwards, the velocity is positive (upwards) while the acceleration is negative (downwards).
    • The acceleration is not zero at the highest point, even though the velocity is; acceleration due to gravity is always present.

    Worked Examples

    • Worked Example: A construction worker accidentally drops a brick from a scaffold, reaching a velocity of 40 meters per second after 4 seconds and falling a distance of 80 meters.
    • Worked Example: A tennis ball thrown straight up with an initial speed of 22.5 meters per second reaches a maximum height of 25.3 meters and remains in the air for 4.5 seconds.
    • Worked Example: An object is thrown vertically upwards with an initial velocity of 20 meters per second from a cliff 25 meters above the sea. The ball reaches a maximum height of 20 meters, takes 2 seconds to reach its maximum height, 5 seconds to hit the sea, and hits the sea with a speed of 30 meters per second.

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    Related Documents

    Physics 10th Grade Quarter Test I PDF

    Description

    This quiz focuses on the concepts of motion with constant acceleration, including the calculations of change in velocity and acceleration. It features various worked examples, illustrating how to apply these principles in real-world scenarios. Test your understanding of acceleration and its effects on motion!

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