Submarine Strategy Quiz

What is the main challenge in hitting the submarine on the number line?

• The submarine's initial position and velocity are unknown.

• The submarine is indestructible.

• The submarine is invisible.

• The submarine can teleport.

Why does moving the torpedo in a single direction fail as a strategy?

• The submarine can change its velocity.

• The torpedo is too slow.

• The torpedo cannot be controlled.

• The submarine moves in the same direction but faster.

What is the flaw in the zigzag strategy?

• The submarine can move faster than the zigzag pattern.

• It requires knowing the submarine's velocity.

• It doesn't cover all points on the number line.

• It takes too long to reach distant points.

How does the advanced strategy ensure hitting the submarine?

• By increasing the speed of the torpedo.

• By predicting the submarine's future positions.

• By listing all possible position functions and targeting them sequentially.

• By firing multiple torpedoes simultaneously.

What mathematical concept is used to list all possible position functions?

• Prime numbers

• Uncountable infinity

• Countable infinity

• Complex numbers

How are position functions represented in the advanced strategy?

• As a decimal number

• As a single integer

• As a pair of integers representing initial position and velocity

• As a complex number

What is the purpose of using a spiral pattern in listing position functions?

• To avoid repeating points

• To make the process faster

• To confuse the submarine

• To ensure all points are covered efficiently

Why is it important that the number of position functions is countable?

• It reduces the number of possible submarine paths.

• It simplifies the mathematics involved.

• It makes the problem unsolvable.

• It allows us to list them systematically.

What does the XY plane represent in the context of the strategy?

• The submarine's path

• The torpedo's trajectory

• The possible initial positions and velocities

• The time and distance traveled

What guarantees that the spiral pattern will eventually list all position functions?

• The pattern is infinite.

• The pattern is random.

• The pattern is systematic and covers all integer pairs.

• The pattern is based on probability.