Asked by Taylor
William, a logistician, needs to route a freight train that is 20 feet at its tallest point and 10 feet at its widest point within 3 days. The most direct path includes a single-track tunnel that needs 24 hour notice prior to use. If the tunnel is roughly modeled by f(x)=-0.1x^2+3.2x-3.5, should William make arrangements for the train to use the tunnel? Show work the supports your conclusion.
Answers
Answered by
Steve
f(x) = 22.1 - .1(x-16)^2
Going with the most reasonable assumption that the train is rectangular in cross-section, then the corner of its diagonal will be at (5,20) from the center of the base.
f(21) = 19.6
So, 5 ft from the middle, the tunnel is only 19.6 ft high, so the corner of the car will not fit.
Going with the most reasonable assumption that the train is rectangular in cross-section, then the corner of its diagonal will be at (5,20) from the center of the base.
f(21) = 19.6
So, 5 ft from the middle, the tunnel is only 19.6 ft high, so the corner of the car will not fit.
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