(Solved): 12-23. A particle is moving along a straight line such that its acceleration is defined as \( a=(-2 ...

12-23. A particle is moving along a straight line such that its acceleration is defined as \( a=(-2 v) \mathrm{m} / \mathrm{s}^{2} \), where \( v \) is in meters per second. If \( v=20 \mathrm{~m} / \mathrm{s} \) when \( s=0 \) and \( t=0 \), determine the particle's position, velocity, and acceleration as functions of time.