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Suppose an object moves on the surface of a sphere with |r(t)| constant for all t.Show that r(t) and a(t) = r''(t) satisfy r(t)*a(t) = -|v(t)|^2.
Suppose an object moves on the surface of a sphere with |r(t)| constant for all t.Show that r(t) and a(t) = r''(t) satisfy r(t)*a(t) = -|v(t)|^2.