What properties of a figure are preserved under a rotation?
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Answer:
, for all
Step-by-step explanation:
The velocity vector is found by deriving the position vector depending on the time:
In turn, acceleration vector is found by deriving the velocity vector depending on time:
Velocity and acceleration vectors at are:
Norms of both vectors are, respectively:
The angle between both vectors is determined by using the following characteristic of a Dot Product:
Given that cosine has a periodicity of . There is a family of solutions with the form:
, for all