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Suppose Professor Martinez decided to go bungee jumping from a bridge that is 30 meters above a river. Her height in meters above the river t seconds after the jump is h(t) 15(1 + e- cos t) for t 0. a) Determine the velocity at t 1 and t hundredth. Don't forget units! 3. Round your answer to the nearest (1+cost) etCcost) W'C)=15(0esin+ ALA 62mIs Vc)=-15e Sn1Cos ) Af + == V(3)=-15e (S0tCas 3) o3 mIs b) Notice that one of your answers above is negative while the other is positive. In the context of the problem, interpret what is going on with Professor Martinez. when rhere is as itch Fomnegativa to posHiva veocityyou ave passing the point theat you t2ostiveeioty on Shals flling lown started c) At what time intervals is Professor Martinez moving downward and upward during the first 10 seconds? Round your numbers to the nearest hundredth Dawnward = VH)>O O upward=VC O dounuard Erom2,0 Negative Velocity when shels going up Cagainst 9ravity lue to the bungee rom (o,2) (O SeCS 2 24 secs VCO)--15eCsin Ot cos O ISe(sin +Cos 1)- - 15e (Sin 3+ Cos 3)- - 15e (sin 5+ COs 5)+ -15e (Sin 7 + Cos = VG) V(5)- VG 7 + Cos) = -5esin Cos -- 11 +

Suppose Professor Martinez decided to go bungee jumping from a bridge that is 30 meters above a river. Her height in meters above the river t seconds after the jump is h(t) 15(1 + e- cos t) for t 0. a) Determine the velocity at t 1 and t hundredth. Don't forget units! 3. Round your answer to the nearest (1+cost) etCcost) W'C)=15(0esin+ ALA 62mIs Vc)=-15e Sn1Cos ) Af + == V(3)=-15e (S0tCas 3) o3 mIs b) Notice that one of your answers above is negative while the other is positive. In the context of the problem, interpret what is going on with Professor Martinez. when rhere is as itch Fomnegativa to posHiva veocityyou ave passing the point theat you t2ostiveeioty on Shals flling lown started c) At what time intervals is Professor Martinez moving downward and upward during the first 10 seconds? Round your numbers to the nearest hundredth Dawnward = VH)>O O upward=VC O dounuard Erom2,0 Negative Velocity when shels going up Cagainst 9ravity lue to the bungee rom (o,2) (O SeCS 2 24 secs VCO)--15eCsin Ot cos O ISe(sin +Cos 1)- - 15e (Sin 3+ Cos 3)- - 15e (sin 5+ COs 5)+ -15e (Sin 7 + Cos = VG) V(5)- VG 7 + Cos) = -5esin Cos -- 11 +

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Suppose Professor Martinez decided to go bungee jumping from a bridge that is 30 meters above a river. Her height in meters above the river t seconds after the jump is h(t) 15(1 + e- cos t) for t 0. a) Determine the velocity at t 1 and t hundredth. Don't forget units! 3. Round your answer to the nearest (1+cost) etCcost) W'C)=15(0esin+ ALA 62mIs Vc)=-15e Sn1Cos ) Af + == V(3)=-15e (S0tCas 3) o3 mIs b) Notice that one of your answers above is negative while the other is positive. In the context of the problem, interpret what is going on with Professor Martinez. when rhere is as itch Fomnegativa to posHiva veocityyou ave passing the point theat you t2ostiveeioty on Shals flling lown started c) At what time intervals is Professor Martinez moving downward and upward during the first 10 seconds? Round your numbers to the nearest hundredth Dawnward = VH)>O O upward=VC O dounuard Erom2,0 Negative Velocity when shels going up Cagainst 9ravity lue to the bungee rom (o,2) (O SeCS 2 24 secs VCO)--15eCsin Ot cos O ISe(sin +Cos 1)- - 15e (Sin 3+ Cos 3)- - 15e (sin 5+ COs 5)+ -15e (Sin 7 + Cos = VG) V(5)- VG 7 + Cos) = -5esin Cos -- 11 +
Transcribed Image Text:Suppose Professor Martinez decided to go bungee jumping from a bridge that is 30 meters above a river. Her height in meters above the river t seconds after the jump is h(t) 15(1 + e- cos t) for t 0. a) Determine the velocity at t 1 and t hundredth. Don't forget units! 3. Round your answer to the nearest (1+cost) etCcost) W'C)=15(0esin+ ALA 62mIs Vc)=-15e Sn1Cos ) Af + == V(3)=-15e (S0tCas 3) o3 mIs b) Notice that one of your answers above is negative while the other is positive. In the context of the problem, interpret what is going on with Professor Martinez. when rhere is as itch Fomnegativa to posHiva veocityyou ave passing the point theat you t2ostiveeioty on Shals flling lown started c) At what time intervals is Professor Martinez moving downward and upward during the first 10 seconds? Round your numbers to the nearest hundredth Dawnward = VH)>O O upward=VC O dounuard Erom2,0 Negative Velocity when shels going up Cagainst 9ravity lue to the bungee rom (o,2) (O SeCS 2 24 secs VCO)--15eCsin Ot cos O ISe(sin +Cos 1)- - 15e (Sin 3+ Cos 3)- - 15e (sin 5+ COs 5)+ -15e (Sin 7 + Cos = VG) V(5)- VG 7 + Cos) = -5esin Cos -- 11 +
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