For certain aircraft there exists a quadratic relationship between an airplanes maximum speed S (in knots) and its ceiling C, or highest altitude possible (in thousands of feet) The table lists three such airplanes (a) If the quadratic relationship between C and S is written as C aS 2 bS c, use a system of linear equations to determine the constants a, b and c, and give the equation (b) A new aircraft of this type has a ceiling of 45,000 ft Predict its top speed to the nearest knot Airplane Max Speed (S) Ceiling (C) 33 Hawkeye Corsair 320 600 40 1283 Tomcat 50

Question: For certain aircraft there exists a quadratic relationship between an airplanes maximum speed S (in knots) and its ceiling C, or highest altitude possible (in

For certain aircraft there exists a quadratic relationship between an airplane’s maximum speed S (in knots) and its ceiling C, or highest altitude possible (in thousands of feet). The table lists three such airplanes. Airplane Max Speed (S) Ceiling (C) 33 Hawkeye Corsair 320 600 40 1283 Tomcat 50

(a) If the quadratic relationship between C and S is written as C = aS² + bS + c, use a system of linear equations to determine the constants a, b and c, and give the equation.

(b) A new aircraft of this type has a ceiling of 45,000 ft. Predict its top speed to the nearest knot.

Airplane Max Speed (S) Ceiling (C) 33 Hawkeye Corsair 320 600 40 1283 Tomcat 50

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a Because Cas bSc and we have the ordered pairs 320 33 600 40 and 1283 50 we obtain the following sy... View full answer

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