Kinematic equations - Kinematics in One Dimension

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Kinematic equations



In this lesson, we will learn:

  • The four kinematic equations
  • How to choose which kinematic equation to use
  • Problem solving with the kinematic equations


The four kinematic equations describe the relationship of the initial velocity (viv_{i}), final velocity (vfv_{f}), acceleration (aa), displacement (dd), and time (tt) for an object moving in one dimension. Each of the equations is made up of four of the five of these variables. If we know three of these variables, we can use the kinematic equations to solve for the two remaining unknown variables.

Kinematic Equations
  1. vf=vi+atv_{f}=v_{i}+at(No dd)
  2. vf2=vi2+2adv_{f}^{2}=v_{i}^{2}+2ad(No tt)
  3. d=vit+12at2d=v_{i}t+\frac{1}{2}at^{2}(No vfv_{f})
  4. d=(vi+vf2)td=(\frac{v_{i}+v_{f}}{2})t(No aa)

viv_{i}: initial velocity, in meters per second (m/s)

vfv_{f}: final velocity, in meters per second (m/s)

aa: acceleration, in meters per second squared (m/s2)(m/s^{2})

t:t: time, in seconds (s)

d:d: displacement, in meters (m)

  • 1.
    Applying kinematics equations to horizontal motion
  • 2.
    Applying kinematics equations to vertical motion
  • 3.
    Solving "two part" motion in one dimension
Teacher pug

Kinematic equations

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