Physics Chapter: Motion and Acceleration
69 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What will be the height from which the stone is thrown, in meters?

  • 24
  • 32 (correct)
  • 40
  • 10
  • What is the total time taken for the stone to reach the ground?

  • 2 s
  • 4 s (correct)
  • 8 s
  • 10 s
  • What is the initial speed of the stone thrown upwards?

  • 16 m/s (correct)
  • 20 m/s
  • 8 m/s
  • 12 m/s
  • What is the final speed of the stone when it hits the ground?

    <p>24 m/s (C)</p> Signup and view all the answers

    Which equation can be used to determine the height from which the stone was thrown?

    <p>h = v_i t + rac{1}{2} g t^2 (C)</p> Signup and view all the answers

    What role does gravity play in the motion of the stone?

    <p>It acts in opposition to the upward motion. (B)</p> Signup and view all the answers

    How does the speed of the stone change during its ascent?

    <p>It decreases until it reaches the maximum height. (A)</p> Signup and view all the answers

    What effect does throwing the stone upwards have on its total displacement?

    <p>Total displacement can be calculated as the sum of ascent and descent. (C)</p> Signup and view all the answers

    If the stone took 4 seconds to hit the ground, what implications does it have for the maximum height reached?

    <p>Maximum height can be calculated using the time taken. (C)</p> Signup and view all the answers

    At what moment does the stone experience its maximum speed?

    <p>Just before hitting the ground. (C)</p> Signup and view all the answers

    What does the straight line from t = 0 to t = 3 indicate about the cyclist's motion?

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

    What conclusion can be drawn from the graph being parallel to the t-axis from t = 3 to t = 7?

    <p>The cyclist is maintaining a constant speed. (B)</p> Signup and view all the answers

    How is acceleration represented on a speed-time graph?

    <p>By slopes of the lines. (D)</p> Signup and view all the answers

    If the cyclist is at a speed of 5 m/s from t = 3 to t = 7, what does this mean for their distance traveled?

    <p>The cyclist travels 20 meters. (D)</p> Signup and view all the answers

    What is the total time duration over which the cyclist's speed changes?

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

    In the part of the graph where the cyclist is moving at a constant speed, what could have been omitted in the description of the journey?

    <p>Changes in velocity (D)</p> Signup and view all the answers

    How do you calculate the distance traveled in the segment from t = 0 to t = 3?

    <p>Use the area under the graph. (D)</p> Signup and view all the answers

    What can be inferred if the cyclist's speed increases in the graph from t = 0 to t = 3?

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

    What information does a speed-time graph provide that is not available on a distance-time graph?

    <p>Changes in speed over time. (A)</p> Signup and view all the answers

    If a cyclist remains at the same speed for a certain duration, what effect does it have on the speed-time graph?

    <p>It creates a horizontal line. (D)</p> Signup and view all the answers

    What is the acceleration of the train?

    <p>3.0 m/s² (C)</p> Signup and view all the answers

    What is the speed of the front of the train when it passes point C?

    <p>28.5 m/s (C)</p> Signup and view all the answers

    What time elapses from when the train passes B to when it passes C?

    <p>2.5 seconds (C)</p> Signup and view all the answers

    If the train's initial speed is 22.5 m/s, how far does it travel in the first 2 seconds?

    <p>60 m (B)</p> Signup and view all the answers

    Given that the distance AB is 50 m, what uniform acceleration would allow the train to pass B 2 seconds after passing A?

    <p>3.125 m/s² (D)</p> Signup and view all the answers

    After passing point B, how does the speed of the train change as it approaches point C?

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

    What formula can be used to find the new speed of the train after passing C?

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

    What is the significance of the distance between the telegraph poles in this scenario?

    <p>They serve as reference points for time calculations. (B)</p> Signup and view all the answers

    Which of these statements about the train's motion is true?

    <p>The train travels equal distances in equal time intervals. (D)</p> Signup and view all the answers

    If the train's speed at A is 22.5 m/s, what is its speed at point B just before passing?

    <p>24.5 m/s (A)</p> Signup and view all the answers

    What is the speed of the car at time t = 0?

    <p>25 m s–1 (B)</p> Signup and view all the answers

    How long does the car maintain its initial constant speed?

    <p>10 seconds (A)</p> Signup and view all the answers

    During which time interval does the car start to decelerate?

    <p>t = 10 to t = 18 s (A)</p> Signup and view all the answers

    What is the total time taken for the car to reach point B?

    <p>30 seconds (A)</p> Signup and view all the answers

    How long is the car decelerating?

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

    What distance does the car cover from A to B?

    <p>526 m (B)</p> Signup and view all the answers

    What is required to find the value of V?

    <p>Total distance and time between points (B)</p> Signup and view all the answers

    What type of motion does the car undergo from t = 10 s to t = 18 s?

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

    What is the relationship between the initial speed and the speed at t = 30 s?

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

    How can you describe the speed-time graph from A to B?

    <p>Two straight lines with one slope representing deceleration (D)</p> Signup and view all the answers

    What is the car's speed between t = 18 s to t = 30 s?

    <p>Constant speed (C)</p> Signup and view all the answers

    What does AB represent in the context of the problem?

    <p>The total distance covered (B)</p> Signup and view all the answers

    What is the speed of train P after 10 seconds of acceleration?

    <p>25 m/s (C)</p> Signup and view all the answers

    At what time does train Q start moving?

    <p>t = 20 s (A)</p> Signup and view all the answers

    What maximum speed does train Q reach during its acceleration?

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

    After 10 seconds, what is the speed of train P?

    <p>25 m/s (A)</p> Signup and view all the answers

    How long does train P accelerate before reaching its constant speed?

    <p>10 seconds (C)</p> Signup and view all the answers

    What is the acceleration of both trains before they reach their constant speeds?

    <p>2.5 m/s² (A)</p> Signup and view all the answers

    At what time will both trains reach their constant speeds?

    <p>t = 20 s (C)</p> Signup and view all the answers

    What is the relative speed difference between train P and train Q after train Q has reached its maximum speed?

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

    What time does train Q overtake train P?

    <p>t = 40 s (B)</p> Signup and view all the answers

    What is the distance covered by train P during the acceleration phase?

    <p>75 m (B)</p> Signup and view all the answers

    During which time period does train Q have a higher speed than train P?

    <p>From t = 20 s to t = 30 s (A)</p> Signup and view all the answers

    How long does it take for train Q to accelerate to its maximum speed?

    <p>10 seconds (A)</p> Signup and view all the answers

    Which train has a greater maximum speed?

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

    At what point in time do both trains have the same speed?

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

    What is the greatest height above point A that the ball reaches?

    <p>23.5 m (D)</p> Signup and view all the answers

    What formula can be used to find the speed of the ball just before it hits the ground?

    <p>v = \sqrt{u^2 + 2gh} (A)</p> Signup and view all the answers

    How long does it take for the ball to hit the ground after being projected?

    <p>3.0 s (A)</p> Signup and view all the answers

    If the acceleration due to gravity is $9.8 , \text{m/s}^2$, what is the maximum height reached by the ball from the ground?

    <p>25.5 m (A)</p> Signup and view all the answers

    What happens to the ball after it is projected upwards?

    <p>It decelerates until it stops and then accelerates downwards. (A)</p> Signup and view all the answers

    At the top of its flight, what is the speed of the ball?

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

    What effect does air resistance have on the motion of the ball?

    <p>It reduces the ball's maximum height. (D)</p> Signup and view all the answers

    If the ball were thrown with a speed of 30 m/s, what would be the new maximum height above A?

    <p>45.9 m (A)</p> Signup and view all the answers

    If the initial height from which the ball was projected were increased to 3 m, how would the ground speed change?

    <p>It would increase. (B)</p> Signup and view all the answers

    What distance does the ball travel after reaching its maximum height until it hits the ground?

    <p>The same distance it travels upwards. (B)</p> Signup and view all the answers

    Which of the following factors does NOT affect the time it takes for the ball to hit the ground?

    <p>The weight of the ball. (D)</p> Signup and view all the answers

    When the ball is at half of its maximum height, which of the following statements is true?

    <p>Its speed is decreasing. (B)</p> Signup and view all the answers

    What is the total mechanical energy of the ball at the starting point of projection, neglecting air resistance?

    <p>Sum of potential and kinetic energy (B)</p> Signup and view all the answers

    Flashcards

    What is the initial velocity of the stone?

    The initial upward velocity of the stone.

    What is the time taken for the stone to hit the ground?

    The time taken for the stone to hit the ground from the point it was thrown.

    What is the acceleration acting on the stone?

    The acceleration due to gravity, acting downwards on the stone.

    What is the total displacement of the stone?

    The distance the stone travels downwards from its initial position to the ground.

    Signup and view all the flashcards

    What is the final velocity of the stone?

    The final velocity of the stone as it hits the ground.

    Signup and view all the flashcards

    What is the equation of motion to use?

    A formula that relates displacement, initial velocity, final velocity, time, and acceleration.

    Signup and view all the flashcards

    What is s = ut + (1/2)at²?

    The equation of motion that connects displacement, initial velocity, final velocity, time and acceleration.

    Signup and view all the flashcards

    What is the initial height (h)?

    The initial height from which the stone was thrown.

    Signup and view all the flashcards

    What is the final velocity of the stone as it hits the ground?

    The final velocity of the stone just before it hits the ground.

    Signup and view all the flashcards

    What is v = u + at?

    An equation that connects initial velocity, final velocity, acceleration and time.

    Signup and view all the flashcards

    Acceleration

    The rate of change of velocity over time. In this context, it's the constant acceleration that both trains experience initially.

    Signup and view all the flashcards

    Speed

    The speed at which an object is moving. In this case, it's measured in meters per second (m/s).

    Signup and view all the flashcards

    Time (t)

    The time elapsed since the start of the motion, measured in seconds.

    Signup and view all the flashcards

    Overtaking Point

    The point at which Train Q overtakes Train P.

    Signup and view all the flashcards

    Time of Overtaking (T)

    The time at which Train Q overtakes Train P, measured in seconds.

    Signup and view all the flashcards

    Constant Speed

    The type of motion where the speed remains constant, meaning the object is not accelerating.

    Signup and view all the flashcards

    Constant Acceleration

    The type of motion where the velocity changes at a constant rate. This means the speed is increasing or decreasing steadily.

    Signup and view all the flashcards

    Speed-Time Graph

    A visual representation of the speed of an object over time, usually plotted with time on the horizontal axis and speed on the vertical axis.

    Signup and view all the flashcards

    Equal Speed

    The moment when both trains are traveling at the same speed. This means they have equal velocities at this specific point in time.

    Signup and view all the flashcards

    Distance Traveled

    The distance traveled by each train, which will be represented by the area under their respective speed-time graphs.

    Signup and view all the flashcards

    Change in Motion

    A point on the speed-time graph where the train stops accelerating and maintains a constant speed.

    Signup and view all the flashcards

    Initial Conditions

    The initial conditions of each train, including their starting positions and speeds. Both are at rest and level with each other.

    Signup and view all the flashcards

    Starting Times

    Train P starts moving at time t = 0, while Train Q starts later at t = 20 seconds.

    Signup and view all the flashcards

    Train P's Final Speed

    Train P reaches a constant speed of 25 m/s after accelerating for 10 seconds.

    Signup and view all the flashcards

    Train Q's Final Speed

    Train Q reaches a constant speed of 40 m/s after accelerating for an unknown period of time.

    Signup and view all the flashcards

    What is the acceleration of the train?

    The rate at which the train's velocity changes over time.

    Signup and view all the flashcards

    What is the speed of the train at point C?

    The speed of the train when it passes point C.

    Signup and view all the flashcards

    How long does it take for the train to travel from B to C?

    The time taken for the train to travel from point B to point C.

    Signup and view all the flashcards

    What is the initial velocity of the train?

    The speed of the train when it passes point A.

    Signup and view all the flashcards

    What is the distance between points A and B?

    The distance between points A and B.

    Signup and view all the flashcards

    How long does it take for the train to travel from A to B?

    The time taken for the train to travel from point A to point B.

    Signup and view all the flashcards

    What is the distance between points B and C?

    The distance between points B and C.

    Signup and view all the flashcards

    What type of motion does the train exhibit?

    The train's motion with a constant change in velocity.

    Signup and view all the flashcards

    What does a straight line on a speed-time graph indicate?

    The cyclist is traveling at a constant acceleration. This means the cyclist's speed is changing by the same amount every second.

    Signup and view all the flashcards

    What does a horizontal line on a speed-time graph indicate?

    The cyclist is traveling at a constant speed, meaning the speed is not changing.

    Signup and view all the flashcards

    How do you calculate the distance traveled using a speed-time graph?

    The area under the speed-time graph represents the distance traveled.

    Signup and view all the flashcards

    Calculate the distance traveled during the first 3 seconds.

    The area of the triangular portion of the graph is calculated using 1/2 × base × height. The base of the triangle is 3 seconds (3 - 0), and the height is 5 m/s. So the area is 1/2 × 3 × 5 = 7.5 m.

    Signup and view all the flashcards

    Calculate the distance traveled from 3 to 7 seconds.

    The distance traveled during the next 4 seconds (from 3 to 7 seconds) is calculated using the area of a rectangle. The rectangle has a length of 4 s (7 - 3) and a width of 5 m/s. The area is calculated as 4 × 5 = 20 m

    Signup and view all the flashcards

    What is the total distance traveled by the cyclist over the 7 seconds?

    The total distance traveled is the sum of the distances traveled in each section: 7.5 m + 20 m = 27.5 m.

    Signup and view all the flashcards

    Initial velocity (u)

    The initial speed at which the ball is projected upwards from point A.

    Signup and view all the flashcards

    Greatest height (h)

    The maximum height the ball reaches above its starting point A.

    Signup and view all the flashcards

    Final velocity (v)

    The speed the ball has just before it hits the ground.

    Signup and view all the flashcards

    Total time of flight (t)

    The total time it takes for the ball to travel from point A to the ground.

    Signup and view all the flashcards

    Acceleration (g)

    The acceleration due to gravity, acting downwards on the ball.

    Signup and view all the flashcards

    Total vertical displacement

    The distance between point A and the ground.

    Signup and view all the flashcards

    Highest point reached

    This is the point in the ball's path where its upward velocity becomes zero before it starts falling back down.

    Signup and view all the flashcards

    Upward motion

    The upward journey of the ball from its launch point to the highest point.

    Signup and view all the flashcards

    Downward motion

    The downward journey of the ball from its highest point to reaching the ground.

    Signup and view all the flashcards

    Point A

    The specific point 1.5 meters above the ground from where the ball is initially launched.

    Signup and view all the flashcards

    Velocity at highest point

    The upward velocity of the ball at the highest point.

    Signup and view all the flashcards

    Ground

    The point on the ground where the ball finally hits.

    Signup and view all the flashcards

    Total distance travelled

    The total distance travelled by the ball from point A to the ground, including both the upward and downward journey.

    Signup and view all the flashcards

    Time taken to reach highest point

    The specific time taken for the ball to travel from point A to the highest point.

    Signup and view all the flashcards

    Time of descent

    The specific time taken for the ball to travel from the highest point to the ground.

    Signup and view all the flashcards

    Distance (AB)

    The total distance traveled by the car from point A to point B. It's a crucial piece of information to calculate different parameters of the car's motion.

    Signup and view all the flashcards

    Speed (V)

    The speed of the car after it has decelerated for 8 seconds (at time t = 18 s). It's a key value to calculate the distance traveled during deceleration.

    Signup and view all the flashcards

    Deceleration Period

    The time period between 10 s and 18 s when the car is undergoing uniform deceleration. This is the time interval where the car is slowing down steadily.

    Signup and view all the flashcards

    Total Motion Time

    The time period between 10 s and 30 s when the car is either decelerating or moving at a constant speed. It's important to identify the specific time intervals for calculating total distance.

    Signup and view all the flashcards

    Initial Speed

    The speed maintained by the car before it begins to decelerate. It's constant during the first 10 seconds of the journey.

    Signup and view all the flashcards

    Constant Speed Period

    The period of time between t = 0 and t = 10 s, during which the car moves at a constant speed. It's another important time interval to analyze the car's overall motion.

    Signup and view all the flashcards

    Constant Speed Section

    The section of the speed-time graph that represents the car moving at a constant speed. It's a horizontal line as the speed is unchanging during this time.

    Signup and view all the flashcards

    Deceleration Section

    The section of the speed-time graph that represents the car decelerating. It's a sloping line downwards as the speed decreases over time.

    Signup and view all the flashcards

    Start of Deceleration

    The point on the speed-time graph where the car begins to decelerate. It marks the transition between the constant speed section and the deceleration section of the graph.

    Signup and view all the flashcards

    Area under the Speed-time Graph (10 seconds)

    The area under the speed-time graph between time t = 0 and t = 10 seconds. It's a straightforward rectangular shape, providing a direct way to calculate the distance traveled during that time.

    Signup and view all the flashcards

    Area under the Speed-time Graph (Deceleration Phase)

    The area under the speed-time graph between time t = 10 seconds and t = 18 seconds. This will be a triangular shape representing the distance traveled during deceleration.

    Signup and view all the flashcards

    Area under the Speed-time Graph (Constant Speed Phase)

    The area under the speed-time graph between time t = 18 seconds and t = 30 seconds. It will be a rectangle representing the distance traveled at constant speed after deceleration.

    Signup and view all the flashcards

    Total Area under Speed-Time Graph

    The total area under the entire speed-time graph from t = 0 to t = 30 seconds. It represents the overall distance traveled by the car from point A to point B.

    Signup and view all the flashcards

    Study Notes

    Kinematics

    • Edexcel Maths M1 covers kinematics, focusing on questions from past papers.
    • Several problems relate to a sprinter running a 200m race, with varying speeds and acceleration phases as shown by a speed-time graph.
    • There is a problem on a straight horizontal road where an athlete is accelerating, maintaining a constant speed, then decelerating, and another problem about a train's motion.
    • Other problems involve the vertical motion of a stone.
    • One problem involves a cyclist's journey analyzed through speed-time graphs.
    • A car's movement along a horizontal road is also analyzed, involving acceleration, constant speed, and deceleration phases.
    • There are problems regarding the motion of a projectile (like a ball) thrown vertically upwards
    • Problems involve different scenarios with various accelerations, speeds, times, and distances.
    • Questions often require calculating acceleration, speed, and distance covered, and connecting these to speed-time graphs.
    • Many calculations involve equations of motion.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Related Documents

    Description

    This quiz covers key concepts in motion and acceleration, focusing on the dynamics of stone throwing and the analysis of speed-time graphs. It includes questions about initial and final speeds, the impact of gravity, and implications of time on maximum height. Test your understanding of these fundamental physics principles!

    More Like This

    Use Quizgecko on...
    Browser
    Browser