Your Name Is Francesca Dragonetti (An Assistant of Galileo Galilei) $v ( t ) = 10 t$

Multiple Choice

Your name is Francesca Dragonetti (an assistant of Galileo Galilei) and, to impress your boss, you toss a weight upward at 32 feet per second from the top of the Leaning Tower of Pisa (height 185 ft) . Neglecting air resistance, find the weight's velocity and the height of the weight above the ground as a functions of time in seconds. ?

A) $v ( t ) = 10 t$ , $s ( t ) = 185 + 32 t - 5 t ^ { 2 }$
B) $v ( t ) = 32 + 32 t$ , $s ( t ) = 185 + 32 t + 16 t ^ { 2 }$
C) $v ( t ) = 32 - 32 t$ , $s ( t ) = 32 t - 16 t ^ { 2 }$
D) $v ( t ) = 32 - 32 t$ , $s ( t ) = 185 + 32 t - 16 t ^ { 2 }$
E) $v ( t ) = 32 t$ , $s ( t ) = 32 t - 16 t ^ { 2 }$