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

---

Definitions:

Alternative Hypothesis

The Alternative Hypothesis is the hypothesis that there is a significant difference or effect, opposed to the null hypothesis in statistical testing.

Inferential Statistics

A branch of statistics that allows for making predictions or inferences about a population based on a sample of data.

Mutually Exclusive

Events that cannot occur simultaneously, indicating that the happening of one precludes the occurrence of the other.

Hypothesis Testing

A statistical method to decide whether to accept or reject a hypothesis based on sample data.