Find the Acceleration Given a Position Function| University Physics

An object moves along the x-axis. The position as a function of time is given by c(t)=at^3+bt+c. What is the object's acceleration at time t = 0.50 s?

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Rank the diagrams according to the x-component of the acceleration| University Physics

The figure below shows six different motion diagrams. The separation between dots is in the same scale in all diagrams, and the time interval between dots is also the same for all of them. The direction of the positive x-axis is also shown. Rank the diagrams according to the x-component of the acceleration. (Positive is greater than negative)

Given functions, determine which has a velocity of zero at t=0 s| University Physics

The expressions below give the position function for an object moving along the x-axis. In which case is the velocity zero at time t = 0 s? In all cases, A comma B comma omega are non-zero constants.