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

What can velocity-time graphs show?

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

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

<p>Equations of motion (A)</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 (D)</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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