A particle moves with position function $r ( t ) = 4 \sqrt { 2 } t \mathbf { i } + e ^ { 4 t } \mathbf { j } + e ^ { - 4 t } \mathbf { k }$. Find the acceleration of the particle.

Name: A particle moves with position function $r ( t ) = 4 \sqrt { 2 } t \mathbf { i } + e ^ { 4 t } \mathbf { j } + e ^ { - 4 t } \mathbf { k }$. Find the acceleration of the particle.
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Question

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The Answer is

a ( t ) = 16 e ^ { 4 t } \mathbf { j } + 16 e ^ { - 4 t } \mathbf { k }

A Particle Moves with Position Function r(t)=42ti+e4tj+e−4tkr ( t ) = 4 \sqrt { 2 } t \mathbf { i } + e ^ { 4 t } \mathbf { j } + e ^ { - 4 t } \mathbf { k }r(t)=42​ti+e4tj+e−4tk

A Particle Moves with Position Function $r ( t ) = 4 \sqrt { 2 } t \mathbf { i } + e ^ { 4 t } \mathbf { j } + e ^ { - 4 t } \mathbf { k }$