A Ball Is Thrown Upward from the Top of a 200

question 34

Multiple Choice

A ball is thrown upward from the top of a 200 foot tall building with a velocity of 40 feet per second. Take the positive direction upward and the origin of the coordinate system at ground level. What is the initial value problem for the position, $x ( t )$ , of the ball at time t?

• A) \(\frac { d ^ { 2 } x } { d t ^ { 2 } } = 40 , x ( 0 ) = 200 , \frac { d x } { d t } ( 0 ) = 40\)
• B) \(\frac { d ^ { 2 } x } { d t ^ { 2 } } = - 40 , x ( 0 ) = 200 , \frac { d x } { d t } ( 0 ) = 40\)
• C) \(\frac { d ^ { 2 } x } { d t ^ { 2 } } = 32 , x ( 0 ) = 200 , \frac { d x } { d t } ( 0 ) = 40\)
• D) \(\frac { d ^ { 2 } x } { d t ^ { 2 } } = - 32 , x ( 0 ) = 200 , \frac { x A } { d t } ( 0 ) = 40\)
• E) \(\frac { d ^ { 2 } x } { d t ^ { 2 } } = 200 , x ( 0 ) = 32 , \frac { d x } { d t } ( 0 ) = 40\)

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Definitions:

Equity Financed

The method of raising capital through the sale of shares in a company.

Retained Earnings

The portion of a company’s profit that is held back and not distributed to shareholders as dividends, to be reinvested in the business.

EBIT

Earnings Before Interest and Taxes - an indicator of a company's profitability that calculates income without tax expenses and interest expenses.

Straight Line

A method of allocating the cost of a tangible asset over its useful life in equal installments.