A basketball is dropped from an original height of 9 feet and on each bounce, bounces up 2/3 the distance it fell. How far will it have traveled by the time it hits the ground the fourth time?
PLEASE HELP WITH THIS HISTORY!!!!
Multiple Choice
1. Which of the following statements describes the most common experience of Native Americans after encountering Europeans for the first time? (1 point)
Native Americans thought the settlers had nothing to offer them in trade or knowledge.
Native Americans wanted to make a large profit by selling their land to the Europeans.
Native Americans wanted to make peace and help the Europeans to survive in the New World.
Native Americans wanted to convert the Europeans because of their strange customs and technology.
2. Which statement best explains why, in the early days of colonization, Native American tribes did not band together to fight European conquerors and settlers? (1 point)
Native American tribes competed for resources and were independent of each other.
European missionaries had convinced most Native Americans that fighting was wrong.
Native American tribes did not know how to communicate with each other very well.
European conquerors and settlers were kind to Native Americans when they first arrived.
3. The colonists brought horses to the New World. Which answer best explains how horses affected the Native Americans? (1 point)
They feared horses because they believed all animals were wild and could not be tamed. They refused to learn how to ride horses for this reason.
They loved horses from the beginning. The Europeans gave them horses in exchange for land.
They were pleased to see the Europeans using horses in battle because it gave them an advantage. It was difficult for the settlers to fight battles on horses.
They did not like seeing horses at first because the Europeans used horses to overpower them in conflicts. Later, they learned to use horses for hunting and farming.
4. What was the main purpose of the Townshend Act? (1 point)
to repeal the unpopular Stamp Act of 1764
to outlaw colonial boycotts of British tax acts
to create a way to enforce the Declaratory Act of 1766
to indirectly tax colonists who had objected to more direct taxes
5. How was Braddock's attack on Fort Duquesne different from the Battle of Quebec? (1 point)
The British won the attack on Fort Duquesne and lost the Battle of Quebec.
The British lost the attack on Fort Duquesne and won the Battle of Quebec.
Both sides had fought in Quebec before, but it was the first time they had fought at Fort Duquesne.
The Battle of Quebec began the French and Indian War and the attack on Fort Duquesne ended it.
6. How are the beginnings of the French and Indian War different from those of the American Revolutionary War? (1 point)
The American Revolutionary War was started because of a land dispute between France and America. The French and Indian War was started because of America becoming independent.
The American Revolutionary War was started because the American colonies wanted independence from Britain. The French and Indian War was started because of a land dispute between Britain and France.
The American Revolutionary War was started because of a land dispute between Britain and America. The French and Indian War was started because of a land dispute between France and the Native Americans.
The American Revolutionary War was started by the British. The French and Indian War was started by the Native Americans.
7. Why did Abigail Adams tell her husband, John, to "remember the ladies"? (1 point)
to encourage John to advocate liberties for women
to encourage John to liberate women from Britain
to suggest that John abolish the institution of marriage
to suggest that John send more goods to Boston
8. Which of the following was a consequence of the French and Indian War for the American colonies? (1 point)
adoption of the Spanish dollar as a colonial currency
better trade and relations with Native American tribes
increased taxes issued by Parliament to pay for war debts
lifting of restrictions on colonial settlement in the west
9. Britain's response to the Boston Tea Party was a group of laws which Americans referred to as the Intolerable Acts. One of the laws allowed royal officials accused of a crime in Massachusetts to have their trial in another colony, or even in England. Why would this make the colonists angry? (1 point)
They thought all royal officials were dishonest.
They thought it was an insult to American lawyers.
They thought royal officials would escape punishment.
They thought other colonies would make money from the trials.
10. Paul Revere knew that the British soldiers were not commanded by their captain to fire on civilians of the Boston Massacre. Instead, the situation was a riot that got out of hand. Still, he made a famous poster that showed British soldiers executing unarmed Americans. What statement best summarizes the poster he made? (1 point)
He portrayed the Boston Massacre as an equal fight between the British and the colonists.
He portrayed the British soldiers as purposefully attacking the colonists, who were helpless and disorganized.
He drew the colonists as retaliating and the British were portrayed as unprepared and disorganized.
He drew the Boston Massacre as a fight with many deaths on both sides—the colonists and the British.
11. Which was one main achievement of James Madison? (1 point)
He wrote a pamphlet titled "Common Sense."
He became a general of the Continental Army.
He served as an American ambassador to France.
He represented Virginia in the Continental Congress.
12. Which of the following accomplishments is associated with John Hancock? (1 point)
colonial spokesperson in London after the Stamp Act
helped negotiate the alliance with France
opposed the writs of assistance in the courts
president of the Second Continental Congress
13. Which statement best summarizes the accomplishments of George Washington during the American Revolution? (1 point)
He was a strong military strategist and general.
He encouraged people to support the Loyalist cause.
He gained political allies during his service as ambassador.
He wrote about and organized the resistance in Boston.
14. How did the Founding Fathers feel about the British Parliament asking the colonists to pay taxes? (1 point)
They agreed since all of the British colonists had to pay the same amount of taxes also.
They felt it was unfair for the colonists to pay taxes when the British people didn't pay taxes.
They believed colonists should be able to express their own opinions about how they were taxed.
They disagreed because, in addition to their own taxes, the colonists also had to pay taxes for their slaves.
15. Which of the following is the best description of "patriots"? (1 point)
American colonists like John Adams and John Hancock, who supported Britain in the Revolutionary War.
American colonists like Samuel Adams and George Washington, who fought for independence from Britain.
Members of the Second Continental Congress like Benjamin Franklin and Thomas Jefferson, who were in favor of individual rights.
Members of the Declaration of Independence Committee like George Washington and John Adams, who negotiated peace with Britain after the war.
16. Why did more Native Americans support the British side rather than the American side in the Revolutionary War? (1 point)
The Native Americans believed that if the British won the war, they would keep Americans off of their land.
The British paid Native Americans in supplies and money to support their side and to fight against the Americans.
The British eagerly tried to gain support from the Native Americans, while the Americans resisted their support.
The British promised free land in Great Britain to Native Americans, in exchange for their support during the war.
17. Which statement is best supported by the fact that Mercy Otis Warren wrote plays critical of the British? (1 point)
Warren was one of the most popular playwrights of her day.
Colonial women were interested in and informed about politics.
Patriot women believed they were more influential than Loyalist women.
The British government extended the right of free speech to colonial women.
18. Which was a factor that caused the British to surrender at Yorktown? (1 point)
British soldiers were suffering from disease and refused to fight.
George Washington's soldiers outnumbered the British soldiers two to one.
British troops received a false message from the king that the war was over.
French and American forces joined together to block the British from getting supplies by sea.
19. Based on "Common Sense" and "The Crisis", what conclusion can be made about Thomas Paine? (1 point)
Thomas Paine accepted blame for causing the war.
Thomas Paine believed that colonists should remain loyal to the King.
Thomas Paine used his writing to persuade and inspire others.
Thomas Paine was anti-war.
20. Which answer best summarizes the three main parts of the Declaration of Independence? (1 point)
a list of grievances against the king; appeal to the king to resolve differences; declaration of war
a statement of basic human rights; list of grievances against the king; official separation from England
a statement of basic human rights; appeal to the king to resolve differences; list of grievances against the king
official separation from England, list of grievances against the king; appeal to the king to stop taxation without representation
21. Which answer best summarizes how the Declaration of Independence was written? (1 point)
Five members of congress discussed and wrote the draft together, and Thomas Jefferson edited it.
Thomas Jefferson wrote the first half of the draft, and Benjamin Franklin and John Adams wrote the second half.
Thomas Jefferson and John Adams wrote the document, and five members of a committee from congress approved it.
Congress appointed a committee, Thomas Jefferson wrote the draft, and John Adams and Benjamin Franklin made edits.
22. Which answer explains the meaning of "No taxation without representation"? (1 point)
This was the response to taxes on the slave trade. Many colonists felt that taxing slavery was wrong and that it did not benefit them.
This saying was a response to policies like the Sugar Act. Colonists were not allowed to vote for British leaders who made these policies.
This saying came from the Declaration of Independence. In building a new nation, Congress planned to do away with taxes.
This was one of the political policies of King George III. He wanted to come to a peaceful agreement with the colonists rather than have a war.
23. What was the name of the group of colonists who favored independence? (1 point)
Loyalists
Parliamentarians
Tories
Patriots
24. Which answer best describes the Patriots of the Revolutionary Period? (1 point)
The Patriots supported the idea of sharing the continent with England.
The Patriots supported the idea of America becoming a part of England.
The Patriots supported the idea of American independence from England.
The Patriots supported the idea of making each American colony a new country.
25. Which answer best describes the Loyalists of the Revolutionary Period? (1 point)
The Loyalists supported the idea of sharing the continent with England.
The Loyalists supported the idea of America staying a part of England.
The Loyalists supported the idea of American independence from England.
The Loyalists supported the idea of making each American colony a new country.
bounce heights are
6 4 8/3
distance traveled is thus
9+2(6+4+8/3)
21.68 ft
To find out how far the basketball will have traveled by the time it hits the ground the fourth time, we need to calculate the total distance traveled after each bounce.
First, let's determine the distance it travels on each bounce. The problem states that on each bounce, the basketball bounces up 2/3 the distance it fell. Since the basketball is dropped from an original height of 9 feet, it will fall 9 feet before the first bounce.
On the first bounce, it will bounce up 2/3 * 9 = 6 feet.
Therefore, the total distance traveled after the first bounce is 9 + 6 = 15 feet.
On the second bounce, it will fall 6 feet (the distance it bounced on the first bounce) and then bounce up 2/3 * 6 = 4 feet.
Therefore, the total distance traveled after the second bounce is 15 + 6 + 4 = 25 feet.
On the third bounce, it will fall 4 feet (the distance it bounced on the second bounce) and then bounce up 2/3 * 4 = 8/3 feet.
Therefore, the total distance traveled after the third bounce is 25 + 4 + 8/3 = 41 1/3 feet.
On the fourth bounce, it will fall 8/3 feet (the distance it bounced on the third bounce) and then bounce up 2/3 * 8/3 = 16/9 feet.
Therefore, the total distance traveled after the fourth bounce is 41 1/3 + 8/3 + 16/9 = 49 5/9 feet.
Hence, the basketball will have traveled approximately 49 5/9 feet by the time it hits the ground the fourth time.