A Car on a Test Track Accelerates from 0 Ft/s

question 23

Essay

A car on a test track accelerates from 0 ft/s to 208 ft/s in 8 seconds. The car's velocity is given in the table below:
$\begin{array} { | c | c | c | c | c | c | c | c | c | c | } \hline t ( s ) & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\hline v ( t ) ( f t / s ) & 0 & 18 & 47 & 77 & 104 & 132 & 163 & 184 & 208 \\\hline\end{array}$
(a) Find the car's average acceleration for the following time intervals:
(i) [4; 6]
(ii) [4; 5]
(iii) [3; 4]
(b) Estimate the car's acceleration at t = 4.

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Definitions:

Quantity Discounts

Price reductions offered to buyers who purchase goods or services in large volumes, incentivizing bulk purchases and increasing overall sales.

Cost-Minimizing Order Quantity

The optimal amount of inventory an entity should purchase to minimize total costs including holding, ordering, and shortage costs.

Holding Costs

Expenses associated with storing inventory until it is sold or used, including warehouse space, insurance, and spoilage costs.