Use the Position Function $s ( t ) = 16 t ^ { 2 } - 102$

Multiple Choice

Use the position function $s ( t ) = 16 t ^ { 2 } - 102$ to find the velocity in feet/second at time $t = 2$ seconds.The velocity at time $t = c$ seconds is given by $\lim \frac { [ s ( c ) - s ( t ) ] } { ( c - t ) _{c?t} }$ .

A) 64 feet/second
B) limit does not exist
C) 0 feet/second
D) 32 feet/second
E) 96 feet/second