Physics Chapter: Motion and Acceleration
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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</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</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.</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.</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.</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.</p> Signup and view all the answers

    At what moment does the stone experience its maximum speed?

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

    How is acceleration represented on a speed-time graph?

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

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

    <p>7 seconds</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</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.</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.</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.</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.</p> Signup and view all the answers

    What is the acceleration of the train?

    <p>3.0 m/s²</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</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</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</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</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</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</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.</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.</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</p> Signup and view all the answers

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

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

    How long does the car maintain its initial constant speed?

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

    During which time interval does the car start to decelerate?

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

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

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

    How long is the car decelerating?

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

    What distance does the car cover from A to B?

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

    What is required to find the value of V?

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

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

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

    What does AB represent in the context of the problem?

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

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

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

    At what time does train Q start moving?

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

    What maximum speed does train Q reach during its acceleration?

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

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

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

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

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

    At what time will both trains reach their constant speeds?

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

    What time does train Q overtake train P?

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

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

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

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

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

    Which train has a greater maximum speed?

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

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

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

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

    <p>23.5 m</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}</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</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</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.</p> Signup and view all the answers

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

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

    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.

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    Edexcel Maths M1 Past Paper Questions (January 2005) PDF

    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!

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