Answer Each Question Appropriately $s$ Of a Body Moving with a Constant Acceleration a Along

Multiple Choice

Answer each question appropriately.
-Find the standard equation for the position $s$ of a body moving with a constant acceleration a along a coordinate The following properties are known:
i. $\frac { \mathrm { d } ^ { 2 } \mathrm {~s} } { \mathrm { dt } } = \mathrm { a }$ ,
ii. $\frac { \mathrm { ds } } { \mathrm { dt } } = \mathrm { v } _ { 0 }$ when $\mathrm { t } = 0$ , and
iii. $s = s 0$ when $t = 0$ ,
where $t$ is time, $s _ { 0 }$ is the initial position, and $v _ { 0 }$ is the initial velocity.

A) $s = \frac { a t ^ { 2 } } { 2 } - v _ { 0 } t - s 0$
B) $s = \frac { a t ^ { 2 } } { 2 } + v _ { 0 } t + s _ { 0 }$
C) $s = a t ^ { 2 } + v _ { 0 } t + s 0$
D) $s = \frac { a t ^ { 2 } } { 2 } + s 0$