Solve the Problem $S$ (In Feet) That It Falls In $t$ Seconds Is Given by the Formula

question 55

Multiple Choice

Solve the problem.
-A ball is dropped from a cliff that is 256 feet high. The distance $S$ (in feet) that it falls in $t$ seconds is given by the formula $S = 16 t ^ { 2 }$ . How many seconds (to tenths) will it take for the ball to hit the ground?

• A) \(4 \mathrm { sec }\)
• B) \(4096 \mathrm { sec }\)
• C) \(16 \mathrm { sec }\)
• D) \(15.5 \mathrm { sec }\)

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Definitions:

Competition

The rivalry among sellers trying to achieve such goals as increasing profits, market share, and sales volume by varying the elements of the marketing mix: price, product, distribution, and promotion.

Business-stealing Externality

A situation where a new entrant in a market captures a portion of the incumbent firms' customers, causing economic losses to existing businesses.

Product-variety Externality

An economic effect where the variety of products available in the market impacts the welfare of consumers, often positively.

Efficient Scale

The level of production at which average total costs are minimized, indicating the most cost-effective scale of operation.