Question

50 POINTS PLEASE HELP!!!

Answer 1

Answer:

Period = $\frac{2}{3}$

The ferris wheel will complete one round in 40 seconds.

Step-by-step explanation:

We are given the function representing the height of the wheel by,

$h=82.5\sin 3\pi (t+0.5)+97.5$ where t = time in minutes.

Now, we know that if a function f(x) has period P, then a×f(bx+c)+d will have the period $\frac{P}{|b|}$.

Since, the function $\sin x$ has period $2\pi$, thus the function h will have period $\frac{2\pi}{3\pi}$ i.e. $\frac{2}{3}$.

Therefore, the period of this function is $\frac{2}{3}$.

Now, since the period is $\frac{2}{3}$ minutes i.e 40 seconds.

Hence, we get that the ferris wheel will complete one round in 40 seconds.

Answer 2

Answer:

period: 2/3

after 2/3 min the height of the passengers would be the same

Step-by-step explanation: