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

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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:
t(s)012345678v(t)(ft/s)0184777104132163184208\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.


Definitions:

Shared Assumptions

The common beliefs or understandings that members of a group or organization hold to be true, often unconsciously, which shape their behaviors and attitudes.

Beliefs

Convictions or acceptances that something exists or is true, especially without proof.

Organizational Ambidexterity

The ability of an organization to balance and manage both exploitative activities (improving existing operations) and exploratory activities (innovation and new opportunities) efficiently.

Innovative Adaptation

The process of adjusting and inventing new methods or products to respond to changing environments or needs creatively.

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