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- https://math.libretexts.org/Courses/Georgia_State_University_-_Perimeter_College/MATH_2215%3A_Calculus_III/13%3A_Vector-valued_Functions/Exercises_for_Section_12.3As the circle rolls, it generates the cycloid \vecs r(t)=(ωt−\sin(ωt))\,\hat{\mathbf{i}}+(1−\cos(ωt))\,\hat{\mathbf{j}}, where \omega is the angular velocity of the circle and b is the rad...As the circle rolls, it generates the cycloid \vecs r(t)=(ωt−\sin(ωt))\,\hat{\mathbf{i}}+(1−\cos(ωt))\,\hat{\mathbf{j}}, where \omega is the angular velocity of the circle and b is the radius of the circle: The velocity at t=1 sec is \vecs v(1)=5\,\hat{\mathbf{j}} and the position of the object at t=1 sec is \vecs r(1)=0\,\hat{\mathbf{i}}+0\,\hat{\mathbf{j}}+0\,\hat{\mathbf{k}}.
- https://math.libretexts.org/Courses/Montana_State_University/M273%3A_Multivariable_Calculus/13%3A_Vector-valued_Functions/13.3%3A_Motion_in_Space/Exercises_for_Section_13.3As the circle rolls, it generates the cycloid \vecs r(t)=(ωt−\sin(ωt))\,\hat{\mathbf{i}}+(1−\cos(ωt))\,\hat{\mathbf{j}}, where \omega is the angular velocity of the circle and b is the rad...As the circle rolls, it generates the cycloid \vecs r(t)=(ωt−\sin(ωt))\,\hat{\mathbf{i}}+(1−\cos(ωt))\,\hat{\mathbf{j}}, where \omega is the angular velocity of the circle and b is the radius of the circle: The velocity at t=1 sec is \vecs v(1)=5\,\hat{\mathbf{j}} and the position of the object at t=1 sec is \vecs r(1)=0\,\hat{\mathbf{i}}+0\,\hat{\mathbf{j}}+0\,\hat{\mathbf{k}}.
- https://math.libretexts.org/Courses/Misericordia_University/MTH_226%3A_Calculus_III/Chapter_13%3A_Vector-valued_Functions/13.3E%3A_Exercises_for_Section_12.3As the circle rolls, it generates the cycloid \vecs r(t)=(ωt−\sin(ωt))\,\hat{\mathbf{i}}+(1−\cos(ωt))\,\hat{\mathbf{j}}, where \omega is the angular velocity of the circle and b is the rad...As the circle rolls, it generates the cycloid \vecs r(t)=(ωt−\sin(ωt))\,\hat{\mathbf{i}}+(1−\cos(ωt))\,\hat{\mathbf{j}}, where \omega is the angular velocity of the circle and b is the radius of the circle: The velocity at t=1 sec is \vecs v(1)=5\,\hat{\mathbf{j}} and the position of the object at t=1 sec is \vecs r(1)=0\,\hat{\mathbf{i}}+0\,\hat{\mathbf{j}}+0\,\hat{\mathbf{k}}.
