DEAMER SIN/COS VALUES SPEED QUIZ B (15Q) (4/14/2026)

Posljednje ažuriranje 3 months ago

null

Worksheet F: (Topic 3.1) Periodic Phenomena

Ferris wheel diagram with Point B at the top and the center labeled; direction of rotation is clockwise.

Note: Figure NOT drawn to scale.

A Ferris Wheel rotates in a clockwise direction and completes one rotation every 30 seconds. Point B is on the top of one of the enclosed carriers and is located directly above the center of the Ferris Wheel at time $t = 0$ seconds, as indicated in the figure. Point B is 40 feet from the center of the Ferris Wheel. The center of the Ferris Wheel is 50 feet above the ground on which the Ferris Wheel sits. As the Ferris Wheel rotates at a constant speed, the distance between B and the ground periodically decreases and increases.

The periodic function $h$ models the distance between point B and the ground, in feet, as a function of time $t$ in seconds.

Worksheet F: Topic 3.1 Periodic Phenomena: FRQ 3 Model

(A) The graph of $h$ and its dashed midline for two full cycles is shown. Five points, $F$, $G$, $J$, $K$, and $P$ are labeled on the graph. No scale is indicated, and no axes are presented.
Determine possible coordinates $(t, h(t))$ for the five points: $F$, $G$, $J$, $K$, and $P$.

(B)(ii) On the interval $(t_1, t_2)$, describe the concavity of the graph of $h$ and determine whether the rate of change of $h$ is increasing or decreasing.

DEAMER SIN/COS VALUES SPEED QUIZ B (15Q) (4/14/2026)

(A) The graph of $h$ and its dashed midline for two full cycles is shown. Five points, $F$, $G$, $J$, $K$, and $P$ are labeled on the graph. No scale is indicated, and no axes are presented.
Determine possible coordinates $(t, h(t))$ for the five points: $F$, $G$, $J$, $K$, and $P$.

(B)(ii) On the interval $(t_1, t_2)$, describe the concavity of the graph of $h$ and determine whether the rate of change of $h$ is increasing or decreasing.

(A) The graph of $h$ and its dashed midline for two full cycles is shown. Five points, $F$, $G$, $J$, $K$, and $P$ are labeled on the graph. No scale is indicated, and no axes are presented.
Determine possible coordinates $(t, h(t))$ for the five points: $F$, $G$, $J$, $K$, and $P$.

(B)(i) Refer to the graph of $h$ in part (A). The $t$-coordinate of $K$ is $t_1$, and the $t$-coordinate of $P$ is $t_2$. On the interval $(t_1, t_2)$, which of the following is true about $h$?

(B)(ii) On the interval $(t_1, t_2)$, describe the concavity of the graph of $h$ and determine whether the rate of change of $h$ is increasing or decreasing.

(B)(i) Refer to the graph of $h$ in part (A). The $t$-coordinate of $K$ is $t_1$, and the $t$-coordinate of $P$ is $t_2$. On the interval $(t_1, t_2)$, which of the following is true about $h$?

DEAMER SIN/COS VALUES SPEED QUIZ B (15Q) (4/14/2026)

(A) The graph of $h$ and its dashed midline for two full cycles is shown. Five points, $F$, $G$, $J$, $K$, and $P$ are labeled on the graph. No scale is indicated, and no axes are presented.Determine possible coordinates $(t, h(t))$ for the five points: $F$, $G$, $J$, $K$, and $P$.

(B)(ii) On the interval $(t_1, t_2)$, describe the concavity of the graph of $h$ and determine whether the rate of change of $h$ is increasing or decreasing.

(A) The graph of $h$ and its dashed midline for two full cycles is shown. Five points, $F$, $G$, $J$, $K$, and $P$ are labeled on the graph. No scale is indicated, and no axes are presented.Determine possible coordinates $(t, h(t))$ for the five points: $F$, $G$, $J$, $K$, and $P$.

(B)(i) Refer to the graph of $h$ in part (A). The $t$-coordinate of $K$ is $t_1$, and the $t$-coordinate of $P$ is $t_2$. On the interval $(t_1, t_2)$, which of the following is true about $h$?

(B)(ii) On the interval $(t_1, t_2)$, describe the concavity of the graph of $h$ and determine whether the rate of change of $h$ is increasing or decreasing.

(B)(i) Refer to the graph of $h$ in part (A). The $t$-coordinate of $K$ is $t_1$, and the $t$-coordinate of $P$ is $t_2$. On the interval $(t_1, t_2)$, which of the following is true about $h$?

(A) The graph of $h$ and its dashed midline for two full cycles is shown. Five points, $F$, $G$, $J$, $K$, and $P$ are labeled on the graph. No scale is indicated, and no axes are presented.
Determine possible coordinates $(t, h(t))$ for the five points: $F$, $G$, $J$, $K$, and $P$.

(A) The graph of $h$ and its dashed midline for two full cycles is shown. Five points, $F$, $G$, $J$, $K$, and $P$ are labeled on the graph. No scale is indicated, and no axes are presented.
Determine possible coordinates $(t, h(t))$ for the five points: $F$, $G$, $J$, $K$, and $P$.