Using Calculus, It Can Be Shown That If a Ball $h = 256 + 16 t - 16 t ^ { 2 }$

question 63

Multiple Choice

Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s from the top of a building 256 ft high, then its height h above the ground t seconds later will be $h = 256 + 16 t - 16 t ^ { 2 }$ During what time interval will the ball be at least 64 ft above the ground?

• A) \(2 \leq t \leq 5 \mathrm { sec }\)
• B) \(3 \leq t \leq 4 \mathrm { sec }\)
• C) \(0 \leq t \leq 4 \mathrm { sec }\)
• D) \(t \geq 4 \mathrm { sec }\)
• E) \(t \geq 5 \mathrm { sec }\)

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Definitions:

Partnership Capital

The total amount of equity contributed by all partners in a partnership business.

Personal Assets

Assets owned by an individual, including tangible and intangible items of value such as real estate, investments, and personal property.

Unlimited Life

A characteristic of corporate entities indicating they can continue to exist indefinitely, beyond the lives of their owners or members, unless dissolved.

Mutual Agency

The principle in a partnership where each partner is empowered to commit the firm to a contract within the scope of the business’s operations.