Let the position function of a particle be $\mathbf { r } ( t ) = \left\langle t ^ { 2 } , 1 - 2 t , t \right\rangle$ . Find the smallest value of its speed.
A)0
B)1
C) $\sqrt { 2 }$
D) $\sqrt { 3 }$
E)2
F) $\sqrt { 5 }$
G) $\sqrt { 6 }$
H) $\sqrt { 7 }$

Question

Let the position function of a particle be $\mathbf { r } ( t ) = \left\langle t ^ { 2 } , 1 - 2 t , t \right\rangle$ . Find the smallest value of its speed.
A)0
B)1
C) $\sqrt { 2 }$
D) $\sqrt { 3 }$ 
E)2
F) $\sqrt { 5 }$  
G) $\sqrt { 6 }$ 
H) $\sqrt { 7 }$

Quizplus · Accepted Answer

The Answer of Let the position function of a particle be $\mathbf { r } ( t ) = \left\langle t ^ { 2 } , 1 - 2 t , t \right\rangle$ . Find the smallest value of its speed.
A)0
B)1
C) $\sqrt { 2 }$
D) $\sqrt { 3 }$ 
E)2
F) $\sqrt { 5 }$  
G) $\sqrt { 6 }$ 
H) $\sqrt { 7 }$

Let the Position Function of a Particle Be r(t)=⟨t2,1−2t,t⟩\mathbf { r } ( t ) = \left\langle t ^ { 2 } , 1 - 2 t , t \right\rangler(t)=⟨t2,1−2t,t⟩

Let the Position Function of a Particle Be $\mathbf { r } ( t ) = \left\langle t ^ { 2 } , 1 - 2 t , t \right\rangle$