Question 1 A Ferris wheel has a radius of 22 m and is boarded
from a platform that is 2 metres above the ground.
The 'six o'clock position of the Ferris wheel is level
with the loading platform for the viewing cars.
Find the equation of the horizontal midway line
A viewing car reaches the highest point of the revolution
after 3 minutes. The movement of the wheel can be
represented by a sinusoidal function.
When this function is graphed, the horizontal axis
represents time and the vertical axis represents the height
of the first viewing car, it continually moves around.

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

What is the value of x in the diagram below?

Two years ago a man was six times as old as his daughter. in 18 years he will be twice as old as his daughter. determine their present ages.