An Object Moves Along a Line in Such a Way $s ( t ) = t ^ { 3 } - 9 t ^ { 2 } + 15 t + 2$

question 20

Multiple Choice

An object moves along a line in such a way that its position at time t is $s ( t ) = t ^ { 3 } - 9 t ^ { 2 } + 15 t + 2$ .Find the velocity and acceleration of the object at time t.When is the object stationary?

• A) \(v ( t ) = 3 t ^ { 2 } - 18 t + 15\) ; a(t)= 6t - 18; t = 3
• B) \(v ( t ) = 3 t ^ { 2 } - 6 t + 15\) ; a(t)= 6t - 6; t = 1
• C) \(v ( t ) = 3 t ^ { 2 } - 18 t + 15\) ; a(t)= 6t - 18; t = 1
• D) \(v ( t ) = 3 t ^ { 2 } - 18 t + 15\) ; a(t)= 6t - 18; t = 1 and 5

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Definitions:

Operating Cash Flow

The cash generated from normal business operations, indicating a company's ability to generate sufficient revenue to maintain and grow its operations.

EBIT

A financial performance measurement called Earnings Before Interest and Taxes, which disregards interest and income tax outlays to assess a company's profitability.

Tax Shield Approach

A method used in financial analysis to account for the benefits of certain deductions, such as interest or depreciation, which reduce taxable income and thus tax liability.

Operating Cash Flow

Cash generated from the normal operating activities of a business over a specific period, excluding capital expenditures and investments.