Position, Velocity, and Acceleration: The position function s(t) tells you (thats right) the position. The velocity function v(t) tells you the instantaneous rate of change at a certain position. The acceleration function a(t) tells you the instantaneous rate at which the velocity is changing.
Their relationship: the derivative of the position function is the velocity, and the derivative of the velocity function is the acceleration.
Their relationship: the derivative of the position function is the velocity, and the derivative of the velocity function is the acceleration.
Problem 1 and solution (pos/vel/acc)
Problem 2 and solution: (pos/vel/acc)