A particle is traveling along a helix whose vector equation is given by $\mathbf { r } ( t ) = \left\langle R _ { 1 } \cos \alpha t , R _ { 2 } \sin \alpha t , \beta t \right\rangle$ , where $R _ { 1 } \geq R _ { 2 }$ . Find its maximum and minimum speeds.

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The Answer of A particle is traveling along a helix whose vector equation is given by $\mathbf { r } ( t ) = \left\langle R _ { 1 } \cos \alpha t , R _ { 2 } \sin \alpha t , \beta t \right\rangle$ , where $R _ { 1 } \geq R _ { 2 }$ . Find its maximum and minimum speeds.

A Particle Is Traveling Along a Helix Whose Vector Equation r(t)=⟨R1cos⁡αt,R2sin⁡αt,βt⟩\mathbf { r } ( t ) = \left\langle R _ { 1 } \cos \alpha t , R _ { 2 } \sin \alpha t , \beta t \right\rangler(t)=⟨R1​cosαt,R2​sinαt,βt⟩

A Particle Is Traveling Along a Helix Whose Vector Equation $\mathbf { r } ( t ) = \left\langle R _ { 1 } \cos \alpha t , R _ { 2 } \sin \alpha t , \beta t \right\rangle$