(a) sin(kt) has period 2π/k
(b) a sin(t) + k varies between k±a
(c) plug in t=60
(d) f(t) = 1
The height, f, in metres, above the ground of a rider on a Ferris wheel can be modelled by the equation 𝑓(𝑡) = 5 sin (𝜋/3 𝑡) + 3, where t is the time, in seconds
a) What is the period of the function? [1 marks]
b) What are the maximum and minimum heights of the rider above the ground? [2 marks]
c) How high is the rider at 60 seconds? [2 marks]
d) What would the equation be if you needed to figure out the time for a rider to be at exactly 1 m?
[1 mark]
1 answer
1 answer