A Brick Becomes Dislodged from the Empire State Building (At $s ( t ) = 16 t ^ { 2 } + 1175$

Multiple Choice

A brick becomes dislodged from the Empire State Building (at a height of 1175 feet) and falls to the sidewalk below. Write the position s(t) , velocity v(t) , and acceleration a(t) as functions of time.

A) $s ( t ) = 16 t ^ { 2 } + 1175$ ; $v ( t ) = 32 t$ ; $a ( t ) = 32$
B) $s ( t ) = - 16 t ^ { 2 } - 1175$ ; $v ( t ) = - 32 t$ ; $a ( t ) = - 32$
C) $s ( t ) = - 16 t ^ { 2 } + 1175$ ; $v ( t ) = - 32 t$ ; $a ( t ) = - 32$
D) $s ( t ) = 16 t ^ { 2 } - 1175$ ; $v ( t ) = - 32 t$ ; $a ( t ) = - 32$
E) $s ( t ) = - 16 t ^ { 2 } + 1175$ ; $v ( t ) = - 32$ ; $a ( t ) = - 32 t$