Question

T2(1) Shown below is a diagram of Las Vegas's High Roller, currently the largest Ferris wheel in the world. The wheel takes 30 minutes to complete one full rotation. If I take a ride on this wheel, my height above the ground, t minutes after my ride begins, is given by a function h(t). TN Explain, in 1-2 sentences, why you ex- pect h(t) to be a periodic function. Then, determine each of the following, with a brief explanation. Include units in each answer. the period of h(t)=__- the midline of h(t)=_ the amplitude of h(t)=_ = Em Cimal Dan 111.com. To

Answer 1

Given time taken to complete tull rotation = 30 minutes. Then for half rotation - 15 minutes. vease The height would increase from o to..15 minutes, it you travel in the wheel. and gradulaly gradually decrease from 15 to 30 minutes. The graph would be heightline 550 30 V > time | 15 30 60 60 time Calculating equation for graph. y=sinxit on hitl= sinto ha n n um hele sint a hltEsinti

: h 60.1 hlt) ol 30 60 90 t hlt) . 520 T riv ol is 3 to hilas hits so NMD ( 30 T is 30 us to 90 ta Required equation, hlt=30+520 sin/tit ). period of hlt) Nou for sinau , period p= 12 for sin ax , perod - for sint (AIT), a = I TIS 7 perluela I 30

for hilt) = 30+.520 sin/411) period = 30g. Midline of hlt): A 30 (which passes through the . middle hlt of the graph). m --milline 30...60 would be the midline. -- Y y=200 ( 1550 - 30) = 220 : .220730 = 200. Amplitude a 30008 550-30 = 520g maximum - minimum values).

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