Velocity Vector is the tangent to the curve, pulling the point along the curve.
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Avaldis 9: left parenthesis, left parenthesis, 2 "u" minus "A" sin left parenthesis, "u" , right parenthesis , right parenthesis "t" plus left parenthesis, 2 "u" minus "A" sin left parenthesis, "u" , right parenthesis plus 2 minus "A" cos left parenthesis, "u" , right parenthesis , right parenthesis left parenthesis, 1 minus "t" , right parenthesis , left parenthesis, 2 minus "A" cos left parenthesis, "u" , right parenthesis , right parenthesis "t" plus left parenthesis, 2 minus "A" cos left parenthesis, "u" , right parenthesis plus "A" sin left parenthesis, "u" , right parenthesis , right parenthesis left parenthesis, 1 minus "t" , right parenthesis , right parenthesis2u−Asinut+2u−Asinu+2−Acosu1−t,2−Acosut+2−Acosu+Asinu1−t
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Acceleration Vector pulls the acceleration vector.
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Avaldis 11: left parenthesis, left parenthesis, 2 "u" minus "A" sin left parenthesis, "u" , right parenthesis plus 2 minus "A" cos left parenthesis, "u" , right parenthesis , right parenthesis "t" plus left parenthesis, 2 "u" minus "A" sin left parenthesis, "u" , right parenthesis plus 2 minus "A" cos left parenthesis, "u" , right parenthesis plus "A" sin left parenthesis, "u" , right parenthesis , right parenthesis left parenthesis, 1 minus "t" , right parenthesis , left parenthesis, 2 minus "A" cos left parenthesis, "u" , right parenthesis plus "A" sin left parenthesis, "u" , right parenthesis , right parenthesis "t" plus left parenthesis, 2 minus "A" cos left parenthesis, "u" , right parenthesis plus "A" sin left parenthesis, "u" , right parenthesis plus "A" cos left parenthesis, "u" , right parenthesis , right parenthesis left parenthesis, 1 minus "t" , right parenthesis , right parenthesis2u−Asinu+2−Acosut+2u−Asinu+2−Acosu+Asinu1−t,2−Acosu+Asinut+2−Acosu+Asinu+Acosu1−t
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Points - The first is on the path and is the "toe" of the velocity vector. The second point is the tip of the velocity vector and the toe of the acceleration vector. The third point is the tip of the acceleration vector.
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Avaldis 13: left parenthesis, left parenthesis, 2 "u" minus "A" sin left parenthesis, "u" , right parenthesis , 2 minus "A" cos left parenthesis, "u" , right parenthesis , right parenthesis , right parenthesis2u−Asinu,2−Acosu
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Avaldis 14: left parenthesis, 2 "u" minus "A" sin left parenthesis, "u" , right parenthesis plus 2 minus "A" cos left parenthesis, "u" , right parenthesis , 2 minus "A" cos left parenthesis, "u" , right parenthesis plus "A" sin left parenthesis, "u" , right parenthesis , right parenthesis2u−Asinu+2−Acosu,2−Acosu+Asinu
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Avaldis 15: left parenthesis, 2 "u" minus "A" sin left parenthesis, "u" , right parenthesis plus 2 minus "A" cos left parenthesis, "u" , right parenthesis plus "A" sin left parenthesis, "u" , right parenthesis , 2 minus "A" cos left parenthesis, "u" , right parenthesis plus "A" sin left parenthesis, "u" , right parenthesis plus "A" cos left parenthesis, "u" , right parenthesis , right parenthesis2u−Asinu+2−Acosu+Asinu,2−Acosu+Asinu+Acosu