Equations of Motion in Physics
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Questions and Answers

What is the formula to find the total distance travelled from a velocity-time graph?

  • The intercept of the v-t graph
  • The area above the v-t graph
  • The slope of the v-t graph
  • The area underneath the v-t graph (correct)
  • What is the ratio between the accelerations of an object accelerating from rest in a time t1 and decelerating back to rest in a time t2?

  • t1^2 : t2^2
  • t1 : t2^2
  • t2 : t1
  • t1 : t2 (correct)
  • Two objects are moving towards each other with different initial velocities. What is the distance between them?

  • The sum of the objects’ initial velocities
  • The product of the objects’ displacements from a shared origin point
  • The sum of the objects’ displacements from a shared origin point (correct)
  • The difference between the objects’ displacements from a shared origin point
  • What is the condition for one object to overtake another?

    <p>When the two objects have the same displacement from a certain point</p> Signup and view all the answers

    What is the acceleration due to gravity near the Earth’s surface?

    <p>9.8 m/s^2</p> Signup and view all the answers

    What is the easiest way to find the area underneath a v-t graph?

    <p>By splitting up the shape into triangles and trapezoids</p> Signup and view all the answers

    What is the condition for one object to fully pass another?

    <p>When the difference in the displacements of both objects is equal to the total length of both objects</p> Signup and view all the answers

    What can velocity-time graphs show?

    <p>Not only velocity, but acceleration and distance travelled</p> Signup and view all the answers

    What is the quantity that links the five important quantities of motion?

    <p>Equations of motion</p> Signup and view all the answers

    What is the assumption made for objects accelerating from rest and decelerating back to rest?

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

    Study Notes

    Equations of Motion

    • Describe motion using 5 quantities: displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time taken (t)
    • Four equations link these quantities together

    Velocity-Time Graphs

    • Display information about an object's changing speed over time
    • Can show velocity, acceleration, and distance traveled
    • Area underneath v-t graph gives total distance traveled
    • Split shape into triangles and trapezoids to find area easily

    Rest to Rest

    • Object accelerates from rest in time t1 and decelerates back to rest in time t2
    • Ratio of accelerations equals ratio of times

    Two Bodies - Moving Towards Each Other

    • Distance between two bodies is sum of objects' displacements from shared origin point

    Catching Up

    • Object will overtake another when both have same displacement from a certain point
    • If one object starts ahead, add distance to equation
    • If objects start at same point but at different times, add time difference to equation

    Passing

    • One object must cover distance equal to total length of both objects to fully pass the other
    • Difference in displacements of both objects must equal this distance

    Acceleration due to Gravity

    • Only force acting on an object in free fall is gravity
    • Gravity causes objects to accelerate towards the ground at constant 9.8 m/s2 near Earth's surface
    • Steps for a free fall question:
    • Identify equation of motion with one unknown variable
    • Substitute known values, including a = -9.8 m/s2
    • Solve for unknown; for maximum height, speed is 0

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    Description

    Learn about the five quantities used to describe an object's motion with constant acceleration: displacement, initial velocity, final velocity, acceleration, and time taken. Understand how to use velocity-time graphs to display information about an object's changing speed over time.

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