Choose the One Alternative That Best Completes the Statement or Answers

question 82

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-An explosion causes debris to rise vertically with an initial velocity of 96 feet per second. The function $s ( t ) = - 16 t ^ { 2 } + 96 t$ describes the height of the debris above the ground, $s ( t )$ , in feet, $t$ seconds after the explosion. What is the instantaneous speed of the debris $4.8$ second(s) after the explosion?

• A) \(153.6 \mathrm { ft } / \mathrm { sec }\)
• B) \(- 57.6 \mathrm { ft } / \mathrm { sec }\)
• C) \(57.6 \mathrm { ft } / \mathrm { sec }\)
• D) \(- 153.6 \mathrm { ft } / \mathrm { sec }\)

---

Definitions:

Analysis

The process of examining and breaking down something into its constituent parts to understand it better or draw conclusions.

Illegal

Refers to actions or activities that are prohibited by law or statute.

Applicant

An individual who applies for a position, role, or opportunity, typically involving a formal process.

Illegal

Forbidden by law or statute, implying that the action or activity is unauthorized and punishable if caught.