A ferris wheel is 40 meters in diameter and boarded at its l

A ferris wheel is 40 meters in diameter and boarded at its lowest point (6 O\'clock) from a platform which is 8 meters above ground. The wheel makes one full rotation every 2 minutes, and at time t = 0 you are at the loading platform (6 O\'clock). Let h =f(t) denote your height above ground in meters after t minutes. What is the period of the function h = f(t)? What is the midline of the function h =f(t)? What is the amplitude of the function h = f(t)? Consider the six possible graphs of h= f(t) below. Be sure to enlarge each graph and carefully read the labels on the axes in order distinguish the key features of each graph. Which (if any) of the graphs A-F represents two full revolutions of the ferris wheel described above?

Solution

a) Period of h =f(t) = 2minutes

b) Radius of wheel = 20 and lowerst point is 8 mt above ground.

midline = 20 +8 = 28 mt

c) Amplitude of h(t) = radius = 20mt

maximum = 28 +20 = 48 mt and minimum = 28 -20 =8 mt

d) Graphs are not visible , but it looks like it is between option A or option B

Reason : at 0 minute ---h(t) = 8mt

at 0.5 minutes ---- h(t) = 8+20 =28 mt

at 1 minute ---- h(t) = 8+40 = 48 mt

at 1.5 minute ---- h(t) = 8 +20 = 28 mt

at 2 minute ---- h(t) = 8 minute