Solve
-A Person Is Standing on the Top of a Building

question 13

Multiple Choice

Solve.
-A person is standing on the top of a building 50 feet above the ground. They project an object upward with an initial velocity of 40 feet per second. The object's distance above the ground, $\mathrm { d }$ , after $t$ seconds may be found by the formula $d = - 16 t ^ { 2 } + 40 t + 50$ . What is the maximum height the object will reach. How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.

• A) Maximum height \(= 75 \mathrm { ft }\); time to reach ground \(= 1.25\) seconds
• B) Maximum height \(= 75 \mathrm { ft }\); time to reach ground \(= 2.5\) seconds
• C) Maximum height \(= 50 \mathrm { ft }\); time to reach ground \(= 2.5\) seconds
• D) Maximum height \(= 50 \mathrm { ft }\); time to reach ground \(= 1.25\) seconds

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Definitions:

Tort

A violation of another person’s rights or a civil wrongdoing that does not arise out of a contract or statute; primary types are intentional, negligent, and strict-liability torts.

Agent Liability

Refers to the legal responsibility of an agent to their principal, including obligations and potential for repercussions if the agent acts outside their authority or against the interests of the principal.

Principal

In law, the person who authorizes an agent to act on their behalf; in finance, the original amount of money invested or loaned.

Vicarious Liability

The liability or responsibility imposed on a person, a party, or an organization for damages caused by another; most commonly used in relation to employment, with the employer held vicariously liable for damages caused by its employees.