In tests conducted by Auto Test Magazine on two identical models of the Phoenix Elite—one equipped with a standard engine and the other with a turbo-charger—it was found that the acceleration of the former is given by a = f(t) = 4 + 0.8t    (0 ≤ t ≤ 12) ft/sec/sec, t sec after starting from rest at full throttle, whereas the acceleration of the latter is given by a = g(t) = 4 + 1.2t + 0.03t2    (0 ≤ t ≤ 12) ft/sec/sec. How much faster is the turbo-charged model moving than the model with the standard engine at the end of a 9-sec test run at full throttle? ________ft/sec

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Turbo-Charged Engine Versus Standard Engine

 In tests conducted by Auto Test Magazine on two identical models of the Phoenix Elite—one equipped with a standard engine and the other with a turbo-charger—it was found that the acceleration of the former is given by

a = f(t) = 4 + 0.8t    (0 ≤ t ≤ 12)

ft/sec/sec, t sec after starting from rest at full throttle, whereas the acceleration of the latter is given by

a = g(t) = 4 + 1.2t + 0.03t2    (0 ≤ t ≤ 12)

ft/sec/sec. How much faster is the turbo-charged model moving than the model with the standard engine at the end of a 9-sec test run at full throttle?

________ft/sec

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