The normal component $a _ { \mathrm { N } } ( t )$ of the acceleration of a particle moving along the curve $\mathbf { r } ( t ) = t ^ { 2 } \mathbf { i } - t \mathbf { j } - t ^ { 2 } \mathbf { k }$ is

A)0
B) $\sqrt { 8 t ^ { 2 } + 1 }$
C) $\sqrt { 56 }$
D)1
E) $\frac { 2 \sqrt { 2 } } { \sqrt { 8 t ^ { 2 } + 1 } }$

Question

The normal component

a _ { \mathrm { N } } ( t )

of the acceleration of a particle moving along the curve

\mathbf { r } ( t ) = t ^ { 2 } \mathbf { i } - t \mathbf { j } - t ^ { 2 } \mathbf { k }

is

A)0
B) $\sqrt { 8 t ^ { 2 } + 1 }$
C) $\sqrt { 56 }$
D)1
E) $\frac { 2 \sqrt { 2 } } { \sqrt { 8 t ^ { 2 } + 1 } }$

Quizplus · Accepted Answer

The Answer of The normal component $a _ { \mathrm { N } } ( t )$ of the acceleration of a particle moving along the curve $\mathbf { r } ( t ) = t ^ { 2 } \mathbf { i } - t \mathbf { j } - t ^ { 2 } \mathbf { k }$ is

A)0
B) $\sqrt { 8 t ^ { 2 } + 1 }$
C) $\sqrt { 56 }$
D)1
E) $\frac { 2 \sqrt { 2 } } { \sqrt { 8 t ^ { 2 } + 1 } }$

The Normal Component aN(t)a _ { \mathrm { N } } ( t )aN​(t)

The Normal Component $a _ { \mathrm { N } } ( t )$