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)

College Physics by Openstax Problem 2.32

A woodpecker’s brain is specially protected from large decelerations by tendon-like attachments inside the skull. While pecking on a tree, the woodpecker’s head comes to a stop from an initial velocity of 0.600 m/s in a distance of only 2.00 mm.