A Cannon Fires a Projectile as Shown

question 9

Multiple Choice

A cannon fires a projectile as shown. The dashed line shows the trajectory in the absence of gravity; points MNOP correspond to the position of the projectiole at one second intervals. If g = 10 m/s², the lengths X,Y,Z are:

• A) 5 m, 10 m, 15 m
• B) 5 m, 20 m, 45 m
• C) 10 m, 40 m, 90 m
• D) 10 m, 20 m, 30 m
• E) 0.2 m, 0.8 m, 1.8 m

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Definitions:

Decision Strategy

A methodology or process that individuals or organizations follow to choose among alternatives and make effective choices.

Maximizing

The strategy of seeking the best possible option or outcome among a set of choices, aiming for the highest utility or benefit.

Heuristic

A problem-solving approach using practical methods or shortcuts to generate satisfactory, but not necessarily optimal, solutions.

Prospect Theory

A behavioral economic theory that describes how people choose between probabilistic alternatives that involve risk.