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ow consider the following situation for this same roller coaster. boarding station tunnel entrance (x, 0) here is a section of the track that levels off the roller coaster while it is in the tunnel. This is in he shape of half of a parabola were the vertex is the place where the track returns to a orizontal orientation. lowest point (x+20,?) he rule for this section of track is given by the formula h(x)=0.125x² - 56.5x + 6334.5, where x emains the horizontal position from that of the boarding station. nswer the following questions. • How far below the ground does this tunnel reach? • How far from the boarding station (horizontally) does this occur? ound values to the nearest foot.

ow consider the following situation for this same roller coaster. boarding station tunnel entrance (x, 0) here is a section of the track that levels off the roller coaster while it is in the tunnel. This is in he shape of half of a parabola were the vertex is the place where the track returns to a orizontal orientation. lowest point (x+20,?) he rule for this section of track is given by the formula h(x)=0.125x² - 56.5x + 6334.5, where x emains the horizontal position from that of the boarding station. nswer the following questions. • How far below the ground does this tunnel reach? • How far from the boarding station (horizontally) does this occur? ound values to the nearest foot.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Now consider the following situation for this same roller coaster. boarding station tunnel entrance (x, 0) There is a section of the track that levels off the roller coaster while it is in the tunnel. This is in the shape of half of a parabola were the vertex is the place where the track returns to a horizontal orientation. Answer the following questions. The rule for this section of track is given by the formula h(x)=0.125x² - 56.5x+6334.5, where x remains the horizontal position from that of the boarding station. lowest point (x+20, ?) How far below the ground does this tunnel reach? How far from the boarding station (horizontally) does this occur? Round values to the nearest foot.
Transcribed Image Text:Now consider the following situation for this same roller coaster. boarding station tunnel entrance (x, 0) There is a section of the track that levels off the roller coaster while it is in the tunnel. This is in the shape of half of a parabola were the vertex is the place where the track returns to a horizontal orientation. Answer the following questions. The rule for this section of track is given by the formula h(x)=0.125x² - 56.5x+6334.5, where x remains the horizontal position from that of the boarding station. lowest point (x+20, ?) How far below the ground does this tunnel reach? How far from the boarding station (horizontally) does this occur? Round values to the nearest foot.
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