The Position of an Object as a Function of Time

question 42

Short Answer

The position of an object as a function of time is given by x(t) = at³ - bt² + ct - d, where
a = 3.6 m/s³, b = 4.0 m/s², c = 60 m/s and d = 7.0 m.
(a) Find the instantaneous acceleration at t =2.4 s.
(b) Find the average acceleration over the first 2.4 seconds.

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Definitions:

Economic Profit

The total revenue of a business minus its explicit and implicit costs, showing the actual financial gain.

Opportunity Costs

The cost of forgoing the next best alternative when making a decision, representing the benefits one misses out on.

Perfectly Competitive

A market structure characterized by many buyers and sellers, all of whom are price takers with the product being homogeneous.

Sunk Costs

Expenses that have already been incurred and cannot be recovered, which should not influence future business decisions.