A weight is suspended from the ceiling by a spring. Let d be the distance in centimeters from the ceiling to the weight. When the weight is motionless, d = 13 cm. If the weight is disturbed, it begins to bob up and down, or oscillate. Then d is a periodic function of t, the time in seconds, so d = f(t). Consider the graph of d = f(t) below, which represents the dist of the weight from the ceiling at time t. aCen) 1. ) (a) Based on the graph of d f(t) above, which of the statements below correctly describes the motion of the weight as it bobs up and down? OA. The spring starts at its average distance between the ceiling and floor and begins by stretching the spring down towards the floor.

A weight is suspended from the ceiling by a spring. Let d be the distance in centimeters from the ceiling to the weight. When the weight is motionless, d = 13 cm. If the weight is disturbed, it begins to bob up and down, or oscillate. Then d is a periodic function of t, the time in seconds, so d = f(t). Consider the graph of d = f(t) below, which represents the dist of the weight from the ceiling at time t. aCen) 1. ) (a) Based on the graph of d f(t) above, which of the statements below correctly describes the motion of the weight as it bobs up and down? OA. The spring starts at its average distance between the ceiling and floor and begins by stretching the spring down towards the floor.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

A weight is suspended from the ceiling by a spring. Let d be the distance in centimeters from the ceiling to the weight. When the weight is motionless, d = 13 cm. If the weight is
disturbed, it begins to bob up and down, or oscillate. Then d is a periodic function of t, the time in seconds, so d = f(t). Consider the graph of d = f(t) below, which represents the distance
of the weight from the ceiling at time t.
d (cn>
21
13
1.5
1.5
t (sec)
(a) Based on the graph of d= f(t) above, which of the statements below correctly describes the motion of the weight as it bobs up and down?
OA. The spring starts at its average distance between the ceiling and floor and begins by stretching the spring down towards the floor.
OB. The weight starts closest to the floor and begins by bouncing up towards the ceiling.
OC The weight starts closest to the ceiling and begins by stretching the spring down towards the floor.
OD. None of the above
(b) How long does it take the weight to bounce completely up and down (or down and up) and return to its starting position?
(Include units in
your answer.)
(c) What is the closest the weight gets to the ceiling?
(Include units in
your answer.)
(d) What is the furthest the weights gets from the ceiling?
(Include units in your answer.)
(e) What is the amplitdue of the graph of d = f(t)?
(Include units in your answer.)

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