trig question please help :)

Question

A passenger gets into a ferris wheel, and his distance from the ground (in meters) on the ferris wheel is given by the function,

where s is the time in seconds. Suppose that s = 0 is the time when the ferris wheel starts moving. Determine the highest distance of the passenger on the ferris wheel from the ground, and after how many seconds will he first reach this distance.

How do I solve for the highest distance and the second without f'(s) = 0? Do I have to substitute values of s to get the f(s) and compare which of the value of s will yield the highest distance or f(s)? Thank you. :)

Answer 1

trig question please help :)

A passenger gets into a ferris wheel, and his distance from the ground (in meters) on the ferris wheel is given by the function,

where s is the time in seconds. Suppose that s = 0 is the time when the ferris wheel starts moving. Determine the highest distance of the passenger on the ferris wheel from the ground, and after how many seconds will he first reach this distance.

How do I solve for the highest distance and the second without f'(s) = 0? Do I have to substitute values of s to get the f(s) and compare which of the value of s will yield the highest distance or f(s)? Thank you. :)

HELLO REI,

that is my twin brother's name.

The maximum height on a cosin function is when the x = 0, but, we have a negative cos function so, the minimum height is at 0 and the max height is when the angle equals π. That is because the cos of π is -1

So for,

f(s) = 16 - 15cos(π/12s)

At a time of 12 seconds, the value in the cos function will be π. Cos π = -1

Therefore,

f(12) = 16 - 15cos(π/12(12))

f(12) = 16 + 15

MAX HEIGHT OF 31 meters at time = 12 seconds.