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Kinematics & Football

And he is before all things, and in him all things hold together.

Colossians 1:17

What is Kinematics?

fr fr?

  • How things move
  • measures the positions, speed or velocity, and acceleration of objects.

Distance & Displacement

Displacement

Distance

  • Positive scalar quantity
  • "how far"
  • Gabe ran 30 meters to Stevens house and then curfew hit, so he ran 30 meters back home. His total distance was 60 meters.
  • Vector quantity
  • Change in position involving direction
  • "how far from the starting point"
  • In the same example with Gabe, his total displacement would be 0 meters because he ended up where he started. If he would not have gone home, his total displacement would have 30 meters in whatever direction he ran.

Steven's house

Gabe's house

Speed

&

Velocity

Velocity

Speed

  • how fast something moves in a certain direction (vector)
  • velocity (v) = displacement = d

time t

  • Moving forward is positive
  • backward is negative
  • the rate of motion (scalar)
  • speed (v) = distance = d

time t

  • always positive
  • If a problem is asking for how fast something is moving then solve for speed.

Acceleration

Acceleration

  • Vector
  • The rate at which speed/velocity changes over time.
  • speeding up or slowing down
  • a = change in speed = vf - vi

time interval t

vf= final velocity

vi= initial velocity

example:

While drag racing out

of our school parking

lot, I time myself at

a speed of 40 m/s 7

seconds after

starting.

What was my

acceleration?

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