A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance s​ (in feet) of the ball from the ground after t seconds is s=96t-16t^2.
​(a) At what time t will the ball strike the​ ground?
​(b) For what time t is the ball more than 128 feet above the​ ground?

Answers

Answer 1

Answer:

Explanation:

a)

when is s = 0 ?

0 = t(96 - 16 t)

t = 0 of course, it starts at 0

t = 96/16 = 6 seconds

b)

when is s = 128 (two times, on the way up and on the way down)

128 = 96 t - 16 t^2

8 = 6 t - t^2

t^2 - 6 t + 8 = 0

(t-4)(t-2) = 0

so between 2 seconds and 4 seconds


Related Questions

Which of the following best describes cell communication processes that occur when a cell detects a signaling molecule?

Answers

Complete Question:

Which of the following best describes cell communication processes that are present in bacteria, yeast, and multicellular organisms?

Group of answer choices.

A. They carry out synaptic signaling, in which neurotransmitters are released and cause a response in nearby target cells.

B. They have gap junctions that allow molecules to pass through the cell wall without having to cross the cell membrane.

C. They produce hormones, which travel to neighboring cells and carry out local regulation processes.

D. They release chemical messengers to communicate with cells they may or may not be in direct contact with.

Answer:

D. They release chemical messengers to communicate with cells they may or may not be in direct contact with.

Explanation:

A cell can be defined as the fundamental or basic functional, structural and smallest unit of life for all living organisms. Some living organisms are unicellular while others are multicellular in nature.

A unicellular organism refers to a living organism that possess a single-cell while a multicellular organism has many (multiple) cells.

Cell communication can be defined as the process which typically involves living cells detecting and responding to signals such as hormones in their surrounding or environment.

Basically, the main purpose of cell communication is to enable living cells interact and work together so as to perform their respective functions and important processes that are necessary for survival.

Hence, the statement which best describes cell communication processes that are present in bacteria, yeast, and multicellular organisms is that, they release chemical messengers to communicate with cells they may or may not be in direct contact with.

what is the cornerstone of common law?

Answers

Answer:

Common law is created when a court decides on a case and sets precedent. The principle of common law involves precedent, which is a practice that uses previous court cases as a basis for making judgments in current cases. Justice Brandeis established stare decisis as the method of making case law into good law.

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Answers

Answer:

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Explanation:

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