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4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function...
The height, h, in metres, above the ground of a rider on a Ferris wheel can be modelled by the equation:h= 10 sin ((pi/15 t) - 7.5) + 12 where t is the time, in seconds.At t=0, the rider is at the lowest point. Determine the first two times that the rider is 20 m above the ground, to the nearest hundredth of a second.
A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. a) If passengers board the lowest car at a height of 3 m above the ground, determine a sine function that models the height, h, in metres, of the car relative to the ground as a function of the time, t, in seconds. b) If a ride on the Ferris wheel lasts for 8 minutes, how far does a passenger travel?
A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. a) If passengers board the lowest car at a height of 3 m above the ground, determine a sine function that models the height, h, in metres, of the car relative to the ground as a function of the time, t, in seconds. [2T] b) If a ride on the Ferris wheel lasts for 8 minutes, how far does a passenger travel? [2A
ONLY NEED ANSWER TO PART (A + B)
Some amusement parks have a double Ferris wheel, which consists of two vertically rotating wheels that are attached to each other by a bar that also rotates. There are eight gondolas equally spaced on each wheel. Riders experience a combination of two circular motions that provide a sensation more thrilling than the classic single Ferris wheel. In particular, riders experience the greatest sensation when their rate of change in height is the...
The maximum height of water near a tidal power station in New Brunswick is 6.4 metres at 4:30 am and the minimum height is 3.6 m, 6.2 hours later. What is the depth of the water at 6:45 pm? a) 2.8 m b) 6.8 m c) 5.8 m d) 5.0 m A ferris wheel at an amusement park completes two revolutions every 120 seconds. The cars can reach a maximum of 10 metres above the ground and a minimum of...
an amusement park wheel has a radius of 9m, a period of 20s, and the center of the wheel is 11m off the ground. 1) model the height (h) in metres, off the ground Tom is while riding the wheel as the function of time (t) in seconds. Tom started the ride at the lowest point possible of the wheel. 2) sketch only one period of this function, starting at t= 0 seconds
1. A ferris wheel has a radius of 12 m. The center of the ferris wheel is 14 m above the ground. When it is rotating at full speed the ferris wheel takes 10 s to make a full turn. We can track one seat on the ferris wheel. Let’s define t = 0 to be a time when that seat is at the top of the ferris wheel while the ferris wheel is rotating at full speed. (a) Write...
A ferris wheel is 30 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. What is the Amplitude? meters What is the Midline? y = meters What is the Period? y = minutes...
the height , h(t) in metres of the trajectory of a football is given by h(t) = 2+28t-4.9t^2, where t is the time in flight, in seconds . Determine the maximum height of thefootball and the time wehn the height is reached
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...