Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Gwyneth is developing a computer game based on the popular game Battleships. The objective of the game is to fire missiles to try to sink each other's ships. The trajectory of a missile after it is fired from a ship is modelled in the computer code by a quadratic equation of the form y = ar? + br + c, where y represents the height (in centimetres) of the missile above the virtual sea, and z represents the horizontal distance (in centimetres) of the missile from the position where it was launched. The values of a, b and c are determined by the computer code that Gwyneth writes, and depend on the angle and force at which the missile is launched. You may assume that the virtual sea area where the battle takes place is completely flat and horizontal. (a) The quadratic equation produced to model the trajectory of a test missile is y = -0.08z? + 2.15r + 0.38.
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Transcribed Image Text:Gwyneth is developing a computer game based on the popular game Battleships. The objective of the game is to fire missiles to try to sink each other's ships. The trajectory of a missile after it is fired from a ship is modelled in the computer code by a quadratic equation of the form y = ar? + br + c, where y represents the height (in centimetres) of the missile above the virtual sea, and z represents the horizontal distance (in centimetres) of the missile from the position where it was launched. The values of a, b and c are determined by the computer code that Gwyneth writes, and depend on the angle and force at which the missile is launched. You may assume that the virtual sea area where the battle takes place is completely flat and horizontal. (a) The quadratic equation produced to model the trajectory of a test missile is y = -0.08z? + 2.15r + 0.38.
(b) In a simulation, an opponent's ship is positioned 32 cm away horizontally. Explain why the test missile can't possibly hit the opponent's ship.
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Transcribed Image Text:(b) In a simulation, an opponent's ship is positioned 32 cm away horizontally. Explain why the test missile can't possibly hit the opponent's ship.
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