02. Kinematics

02. Kinematics

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[accordion title="1. Definitions"]

  • Displacement is the distance travelled along a specified direction.
  • Speed is the rate of change of distance travelled.
  • Velocity is the rate of change of displacement.
  • Acceleration is the rate of change of velocity.

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[accordion title="2. One-Dimensional Motion with Constant Acceleration"]

  • v=u+at
  • s=(\frac{u+v}{2})t
  • s=ut+\frac{1}{2}at^2
  • v^2=u^2+2as

s: displacement
u: initial velocity
v: final velocity
a: acceleration
t: time

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[accordion title="3. Two-Dimensional Motion"]

  • Tip: Sometimes, you will require two equations to solve a kinematics problem. For a parabolic path in a projectile motion without resistive forces, you can draw a table such as the one below and fill in the blank with the information given in the question.
Initial velocity at an angle
Initial velocity at an angle
  • In the case where a projectile is launched at an angle \theta to the horizontal and undergoes the acceleration of free fall, the various horizontal and vertical components of displacement, velocity and acceleration can be expressed in the following way:
Horizontal Vertical
displacement, s (u \cos \theta)t (u \sin \theta)t+\frac{1}{2}gt^2
initial velocity, u u \cos \theta u \sin \theta
initial velocity, v u \cos \theta u \sin \theta +gt
acceleration, a 0 g
time, t same for both dimensions

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