A Ball Is Thrown Upward from the Top of a 200

A ball is thrown upward from the top of a 200 foot tall building with a velocity of 40 feet per second. Take the positive direction upward and the origin of the coordinate system at ground level. What is the initial value problem for the position, $x ( t )$ , of the ball at time t?

A) $\frac { d ^ { 2 } x } { d t ^ { 2 } } = 40 , x ( 0 ) = 200 , \frac { d x } { d t } ( 0 ) = 40$
B) $\frac { d ^ { 2 } x } { d t ^ { 2 } } = - 40 , x ( 0 ) = 200 , \frac { d x } { d t } ( 0 ) = 40$
C) $\frac { d ^ { 2 } x } { d t ^ { 2 } } = 32 , x ( 0 ) = 200 , \frac { d x } { d t } ( 0 ) = 40$
D) $\frac { d ^ { 2 } x } { d t ^ { 2 } } = - 32 , x ( 0 ) = 200 , \frac { x A } { d t } ( 0 ) = 40$
E) $\frac { d ^ { 2 } x } { d t ^ { 2 } } = 200 , x ( 0 ) = 32 , \frac { d x } { d t } ( 0 ) = 40$