Solve the Problem $\mathrm { f } ( \mathrm { t } ) = 4 + 130 \mathrm { t } - 4.9 \mathrm { t } ^ { 2 }$

question 34

Multiple Choice

Solve the problem.
-An arrow is shot straight up from level ground. The distance (in meters) of the arrow above the ground (the position function) is $\mathrm { f } ( \mathrm { t } ) = 4 + 130 \mathrm { t } - 4.9 \mathrm { t } ^ { 2 }$ at any time $\mathrm { t }$ (in sec) . Find $\mathrm { f } ^ { \prime } ( 1 )$ and the initial velocity of the arrow.

• A) \(\mathrm { f } ^ { \prime } ( 1 ) = 120.2\); initial velocity \(= 130 \mathrm {~m} / \mathrm { s }\)
• B) \(\mathrm { f } ^ { \prime } ( 1 ) = 124.2\); initial velocity \(= 130 \mathrm {~m} / \mathrm { s }\)
• C) \(f ^ { \prime } ( 1 ) = 120.2\); initial velocity \(= 4 \mathrm {~m} / \mathrm { s }\)
• D) \(f ^ { \prime } ( 1 ) = - 9.8\); initial velocity \(= 130 \mathrm {~m} / \mathrm { s }\)

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Definitions:

Acquisition Method

An accounting method used to account for business combinations, emphasizing the fair value of the acquired entity.

Identifiable Net Assets (INA) Method

A valuation technique used in business combinations and acquisitions, calculating the difference between the fair value of the acquiree's identifiable assets and liabilities.

Non-Controlling Interest (NCI)

The portion of equity in a subsidiary not owned by the parent company, representing minority shareholders' interest.

Full Fair Value

An approach within certain valuation and accounting frameworks where assets and liabilities are recorded at their full market value.