The Particular Solution of the Differential Equation $\frac { d ^ { 2 } s } { d t ^ { 2 } } = - 9.8$

Multiple Choice

The particular solution of the differential equation $\frac { d ^ { 2 } s } { d t ^ { 2 } } = - 9.8$ satisfying the initial conditions $\left[ \frac { d s } { d t } ( 0 ) \right] = 160$ and $s ( 0 ) = 3$ is

A) $s = - 4.9 t ^ { 2 } + 160 t + 3$
B) $s = 4.9 t ^ { 2 } + 160 t + 3$
C) $s = - 4.9 t ^ { 2 } + 160 t - 3$
D) $s = - 4.9 t ^ { 2 } - 160 t + 3$
E) $s = 4.9 t ^ { 2 } + 160 t - 3$