lad missile crisis

Mr. ClevelandName____________Integrated AlgebraHSLADDate_____________

The LAD Missile Crisis

US Missile Team

Mission Statement To develop a missile that will arc past Soviet defenses and be able to nuke Moscow.

Procedure The distance between Moscow and Naples, a city in Italy where the US has its closest missile base, is 2375 km. You want to be able to launch a missile that can cover that distance.

How your missile travels is based on two things: the angle you launch it at and the speed it launches at. There are three equations you will need:

where vv is the vertical velocity of the missile (in meters per second) and h0 is how high the launch pad is, and t is time in seconds.

, where vh is the horizontal velocity of the missile (in meters per second) and t is time in seconds.

, and where A is the angle of launch, vv is the vertical velocity, vh is the horizontal velocity, and vl is the launch velocity.

However, you have a limited amount of money. Your missile starts at a 30 angle and travels at 10000 km/hr. Remember that a missile lands when the Height is equal to 0 and that you need to convert to m/s.

Each change in the launch angle costs $1000 per degree. Changing the speed of the missile costs $1 per km/hr. Changing the height of the launch pad costs $100, but it cannot go over 500 meters in height or -500 in depth.

Your goal is to hit the target but remember, the Soviets have a missile defense system. Use espionage to ascertain how their system works so that you can avoid having your missiles intersected.

USSR Missile Team

Mission Statement To develop a missile that will arc past American defenses and be able to nuke Seattle.

Procedure The distance between Kamchatka, the easternmost part of Russia, and Seattle, the closest major American city, is 5365 km. You want to be able to launch a missile that can cover that distance.

How your missile travels is based on two things: the angle you launch it at and the speed it launches at. There are three equations you will need:

where vv is the vertical velocity of the missile (in meters per second) and h0 is how high the launch pad is, and t is time in seconds.

, where vh is the horizontal velocity of the missile (in meters per second) and t is time in seconds.

, and where A is the angle of launch, vv is the vertical velocity, vh is the horizontal velocity, and vl is the launch velocity.

However, you have a limited amount of money. Your missile starts at a 30 angle and travels at 10000 km/hr. Remember that a missile lands when the Height is equal to 0 and that you need to convert to m/s.

Each change in the launch angle costs $1000 per degree. Changing the speed of the missile costs $1 per km/hr. Changing the height of the launch pad costs $100, but it cannot go over 500 meters in height or -500 in depth.

Your goal is to hit the target but remember, the Americans have a missile defense system. Use espionage to ascertain how their system works so that you can avoid having your missiles intersected.

USSR Missile Defence Team

Mission Statement To develop a system that will shoot down American missiles as they enter Soviet airspace.

Procedure American missiles will most likely be travelling from Italy. You must decide how to fire straight-line shots that will intersect the suspected path of the missile, hitting at the same time, distance, and height.

Your shots are straight lines with slopes and y-intercepts. You must have two different lines: one for height vs. time, and one for distance vs. time, and both must hit the missile at the same time to work.

To start with, you suspect the American missile equations are and .

However, you have a limited amount of money. Your shots start with a slope of 1 and a y-intercept of 0.

Each change in the slope costs $1000 per 1. Changing the y-intercept of the shot costs $100, but it cannot go over 500 meters in height or -500 in depth. Each additional shot you would like to take, to increase the chances of a hit, costs an additional $10000.

Your goal is to hit the American missile while it is MORE THAN 5000 meters in the air and MORE THAN 2000 meters away from your city, to prevent nuclear fallout.

US Missile Defense Team

Mission Statement To develop a system that will shoot down Soviet missiles as they enter American airspace.

Procedure Soviet missiles will most likely be travelling from Kamchatka. You must decide how to fire straight-line shots that will intersect the suspected path of the missile, hitting at the same time, distance, and height.

Your shots are straight lines with slopes and y-intercepts. You must have two different lines: one for height vs. time, and one for distance vs. time, and both must hit the missile at the same time to work.

To start with, you suspect the American missile equations are and .

However, you have a limited amount of money. Your shots start with a slope of 1 and a y-intercept of 0.

Each change in the slope costs $1000 per 1. Changing the y-intercept of the shot costs $100, but it cannot go over 500 meters in height or -500 in depth. Each additional shot you would like to take, to increase the chances of a hit, costs an additional $10000.

Your goal is to hit the Soviet missile while it is MORE THAN 5000 meters in the air and MORE THAN 2000 meters away from your city, to prevent nuclear fallout.

You are the Head Engineer(American Missile Team)

Your job on the team is to make all the important decisions that have to be made. You may be presented several pieces of information from your Intelligence Officer. It is up to you to decide which intel to believe and which course of action to follow. You have the final say in all disagreements.

You are the Head Engineer(American Missile Defense Team)


You are the Head Engineer(Soviet Missile Team)


You are the Head Engineer(Soviet Missile Defence Team)


You are the Treasurer(American Missile Team)

You are the engineer whose job it is to keep track of the money. Your team has limited resources for development, and you advise the Head Engineer on what you think would be the best use of funds. You must also meet with the Treasurer from your partner team, as the two teams SHARE A BUDGET and it must be split evenly.

You are the Treasurer(American Missile Defense Team)


You are the Treasurer(Soviet Missile Team)


You are the Treasurer(Soviet Missile Defense Team)


You are the Logistics Officer(American Missile Team)

You are the engineer whose job it is to coordinate efforts with your partner team (Missile/Missile Defense). You can speak with the other team and find out what they are doing and confer on what the best course of action might be, and then report back to the Head Engineer.

You are the Logistics Officer(American Missile Defense Team)


You are the Logistics Officer(Soviet Missile Team)

You are the engineer whose job it is to coordinate efforts with your partner team (Missile/Missile Defense). You can speak with the other team and find out what they are doing and confer on what the best course of action might be, and then report back to the Head Engineer.You are the Logistics Officer(Soviet Missile Defence Team)


You are the Intelligence Analyzer(American Missile Team)

Any intel from field agents must be passed to you. It is your job to judge which intel might be true and which is false, and make a recommendation to the Head Engineer. All intel must be reported to the Head Engineer, but you see it first and can recommend.

You are the Intelligence Analyzer(American Missile Defense Team)


You are the Intelligence Analyzer(Soviet Missile Team)


You are the Intelligence Analyzer(Soviet Missile Defence Team)


You are the Secretary(American Missile Team)

You are the engineer whose job it is to put in requests for materials as well as input your final proposals for review. Only the secretary can ask for assistance or communicate with the higher-ups.

You are the Secretary(American Missile Defense Team)


You are the Secretary(Soviet Missile Team)


You are the Secretary(Soviet Missile Defence Team)


You are the General(American Team)

You work neither for the Offense or Defense team, but can float between them, helping as needed. If there are ever disagreements between the two teams, particularly the Treasurers or the Logistics Officers, you have the final say in deciding which team is right.

You are the General(Soviet Team)

You work neither for the Offense or Defense team, but can float between them, helping as needed. If there are ever disagreements between the two teams, particularly the Treasurers or the Logistics Officers, you have the final say in deciding which team is right.

You are the Double Agent

Keep this role a SECRET. Your job is to take the plans that your team has decided on and give that information to your HANDLER. You must avoid detection at all costs. You could be jailed if you are suspected of treason. Your handler will also pass you false information to feed to your Intelligence Analyzer.

Your handler, the person you are working with secretly, is wearing badge number 5.










You are the Triple Agent

Keep this role a SECRET. The other side thinks you work for them, but you are really loyal to your current side. As such, you will pass false information to your fake handler about your teams current plans but still passing on fake info to your real handler, so as to not blow your cover. You are in a lot of danger as you can be arrested by either side.

Your handler on the other side is wearing badge #5.Your real handler on this side is wearing badge #12.










You are the Handler

Keep this role a SECRET. You are the person that secret agents report to with their information. Your job is to collect intel from your field agents and pass it along to the Intelligence Analyzer. You should also create false information to pass to your agents, that they can give to their team.

Your agents are wearing badges #2 and #13.

You are the Handler



You are the Handler



You are the Handler



You are the FBI Investigator

Keep this role a SECRET. Your job is to sniff out moles (double agents) and reveal them. You have the power to arrest a person suspected of treason and passing secrets to the Soviets. Be careful, though! You only get one chance, and if you arrest someone loyal to the USA, you may turn them into a Defector.

You are the FBI Investigator

Keep this role a SECRET. Your job is to sniff out moles (double agents) and reveal them. You have the power to arrest a person suspected of treason and passing secrets to the Soviets. Be careful, though! You only get one chance, and if you arrest someone loyal to the USA, you may turn them into a Defector.

You are the KGB Investigator

Keep this role a SECRET. Your job is to sniff out moles (double agents) and reveal them. You have the power to arrest a person suspected of treason and passing secrets to the Americans. Be careful, though! You only get one chance, and if you arrest someone loyal to the USSR, you may turn them into a Defector.

You are the KGB Investigator

Keep this role a SECRET. Your job is to sniff out moles (double agents) and reveal them. You have the power to arrest a person suspected of treason and passing secrets to the Americans. Be careful, though! You only get one chance, and if you arrest someone loyal to the USSR, you may turn them into a Defector.You are Innocent

You have no role in espionage. You just work as best as you can on the missile project. However, your loyalty is not that strong: if you are accused of spying, you may become a DEFECTOR.

You are Innocent


You are Innocent


You are Innocent


You are Innocent


You are Innocent

You have no role in espionage. You just work as best as you can on the missile project. However, your loyalty is not that strong: if you are accused of spying, you may become a DEFECTOR.You are now the Defector

Go to the opposing team with as much accurate information as you can gather from your current team. You now work for the opposite side.

You are now the Defector






lad missile crisis

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