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Velocity as a function of time

How long...?
Velocity Final = Velocity Initial plus constant acceleration over time interval.

Vx = Vox + axt

Average Acceleration *
Velocity Final minus Velocity Initial divided by elapsed time

a avg x = ΔV Δt

Another version
Final Velocity = Initial Velocity + Average acceleration mulplied by the elapsed time.

= Vx = Vox + aavgx (t-to)
Average Velocity *
Constant rate of change of velocity

Vavgx = (Vox + Vx) / 2
Average Speed *
Average Speed = Distance/Elapsed Time.  Average Velocity
Average Velocity *
Average Velocity = Displacement/Elapsed Time

Vavgx= x-xot-to =ΔxΔt

Displacement as a function of time *

How long...?
Displacement = (Initial Velocity * Time interval) + (Half of acceleration * Time squared)

x-x0 = Voxt + 1/2 axt2

Velocity as a function of displacement?


What velocity...?
The square of the final velocity = Square of Initial velocity + 2 times acceleration times displacement

Vx2 = Vox2 + 2ax(x-xo)
Quadratic Formula
Average Velocity
Initial Velocity + Final Velocity all divided by 2.

Vox + Vx / 2
How many meters in One mile?
1609.344 meters

about 1600 meters
Kinimatic formulas from book
Displacement of x at time t
x = V*t

Displacement = Average Velocity multiplied by time
When finding X components,  Do you use Sin or Cos?
How to find R and theta
R=√Rx2 + Ry2

θ = tan -1 (Ry/Rx)
Three steps to adding vectors and finding direction
1) Add each component:
Rx=Ax + Bx + Cx
(Rx = A cos Θ + B cos Θ + C cos Θ)
Ry=Ay + By + Cy
(Ry = A sin Θ + B sin Θ + C sin Θ)
2) Find R by
R=√Rx2 + Ry2

3) Find θ = tan -1 (Ry/Rx)

x of y cards