- #1

stvrbbns

- 6

- 0

Acceleration = Δv/Δt (v=velocity, t=time). [ref]

Motion mathematics can always be reduced to multiple independent one-dimensional motions. [ref]

The distance an object travels while accelerating = v

_{i}t + at

^{2}/2 (a=acceleration, v

_{i}=initial velocity). [ref]

- If a circle centered at (0,0) has a radius of 2m, then it has a diameter of 4m and a perimeter of 4π m.
- If an object is moving clockwise around this circle once every 4 seconds, then that object has a speed of 1π m/s.
- At the top of the circle, the object has an (x,y) velocity of (π,0); let this be t
_{0}. - At the right of the circle, the object has an (x,y) velocity of (0,-π); let this be t
_{1}. - Δt = t
_{1}-t_{0}= 1 second.

- Δv = v
_{1}-v_{0}= (π,0) - (0,-π) = (-π,-π).

- a = (-π,-π) / second (for that particular time interval).
- So displacement on the X-axis = π m/s * 1 s + ( (-π m/s
^{2}) * (1s)^{2}/ 2 ) = π m + -π/2 m = π/2 ...

Thanks.

(other references)

- velocity calculator

- kinematic equations