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
The largest Ferris Wheel in the world is the London Eye in England. The height (in meters) of a rider on the London Eye after t minutes can be described by the function h(t) = 65 sin[12(t − 7.5)] + 70. (15) How long does it take for the Ferris wheel to go through one rotation? What is the minimum value of this function? Explain the significance of this value.
5. A pebble falls from the top of a cliff that is 180 m high. The pebble's height above the ground is modelled by h(t) -5t-5t+180 where h is the height in metres at t seconds since the pebble started to fall. a. Find the average rate of change between 1 s and 4 s. b. Find h(3) c. Find the instantaneous rate of change of height at 3 s. d. Explain the meaning of each value calculated in parts...
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
4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function ht)=10 siu +12, where is the time, in seconds. (a) Determine the period and amplitude of this function. Explain the meaning of these quantities within the context of the question. ✓ ✓ (b) Calculate the height at t = 35s. (c) Determine the first time that the height is 20 m. (d) When is the next time that this height is reached again?
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
A ferris wheel with a radius of 10 m makes one complete revolution every 60 seconds. The bottom of the wheel is 1 m above the ground. Write a cosine equation that models this situation, where the passengers get on the Ferris wheel at its lowest point.
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...
A skydiver jumps out of a plane. The height of a skydiver can be modelled by the quadratic function () = -4.912 + + + 4900, where t is the time in seconds and h, is the height above the ground in metres. After he releases his parachute, his height above the ground can be modelled by the function h (1) -- 51+ 4100. How long after jumping did he release his parachute? (3 marks)