Unformatted text preview: πt ) is. 5, i.e., when πt = 7 π/ 6, 11 π/ 6, etc. The value πt = 7 π/ 6, i.e., t = 7 / 6, is the only value in the range 0 ≤ t ≤ 1 . 5. Since v ( t ) > 0 for t < 7 / 6 and v ( t ) < 0 for t > 7 / 6, the total distance traveled is Z 7 / 6 1 π ± 1 2 + sin( πt ) ¶ dt + ﬂ ﬂ ﬂ Z 3 / 2 7 / 6 1 π ± 1 2 + sin( πt ) ¶ dt ﬂ ﬂ ﬂ = 1 π ± 7 12 + 1 π cos(7 π/ 6) + 1 π ¶ + 1 π ﬂ ﬂ ﬂ 3 47 12 + 1 π cos(7 π/ 6) ﬂ ﬂ ﬂ = 1 π ˆ 7 12 + 1 π √ 3 2 + 1 π ! + 1 π ﬂ ﬂ ﬂ 3 47 12 + 1 π √ 3 2 . ﬂ ﬂ ﬂ ≈ . 409 meters....
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 Spring '07
 JonathanRogawski
 Math, Calculus, 4 seconds, 19.6 meters, 0.340 meters, 0.409 meters, 1.5 seconds

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