If the Position of an Object Moving Along a Straight $s ( t ) = t ^ { 3 } - 7 t ^ { 2 } + 8 t$

Multiple Choice

If the position of an object moving along a straight line is given by $s ( t ) = t ^ { 3 } - 7 t ^ { 2 } + 8 t$ at time t, find the object's velocity as a function of time.

A) $v ( t ) = 3 t ^ { 2 } - 7 t + 8$
B) $v ( t ) = t ^ { 2 } - 14 t$
C) $v ( t ) = t ^ { 2 } - 7 t + 8$
D) $v ( t ) = 3 t ^ { 2 } - 14 t + 8$