MOBFOG (Brazilian Rocket Show) is an experimental Olympics that consists of launching rockets obliquely under certain conditions. The SESI network ...
MOBFOG (Brazilian Rocket Show) is an experimental Olympics that consists of launching rockets obliquely under certain conditions. The SESI network is a pioneer in the awards of this competition. Knowing that the rocket follows a parabolic trajectory described by the equation 2????²− 24???? + 22 = 0, determine its maximum horizontal range, determined by the difference between the roots of the equation above. A) 2 meters B) 10 meters C) 11 meters D) 12 meters
A) 2 meters
B) 10 meters
C) 11 meters
D) 12 meters
A) 2 meters
B) 10 meters
C) 11 meters
D) 12 meters
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💡 1 Resposta
Ed 
Para determinar o alcance horizontal máximo do foguete, precisamos encontrar a diferença entre as raízes da equação quadrática dada. Podemos usar a fórmula de Bhaskara para encontrar as raízes: x = (-b ± √(b² - 4ac)) / 2a Substituindo os valores da equação dada, temos: a = 2, b = -24, c = 22 x = (-(-24) ± √((-24)² - 4(2)(22))) / 2(2) x = (24 ± √(576 - 176)) / 4 x = (24 ± √400) / 4 x1 = 11 x2 = 1 A diferença entre as raízes é: x1 - x2 = 11 - 1 = 10 Portanto, a resposta correta é a letra B) 10 metros.
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