Chrome File Edit View History Bookmarks People Window Help a B 3 R 52% D E Mon 1

Question

Chrome File Edit View History Bookmarks People Window Help a B 3 R 52% D E Mon 10:58 PM Q O E • O A ALEKS - Homework 4 - Yasir zx D Mathway 1 Math Problem Solve x ca Secure https:// /www-awC.aleks.com alekscgi/x/Isl.exe, 1o u-gnskr 7j8P3jH-1BIZFhlIPLug6NO6tj9qFitzOnQLOPSPMGhYAojL 1zz2FVAWQJSktpvGD48sDjsluHK4w. . Trigonometry FA17-003 TR 1110 - 12:30 Homework 4 4 of 6 Yasir Español An object moves in simple harmonic motion with period 8 seconds and amplitude 5 cm. At time t=0 seconds, its displacement d from rest is 5 cm, and itially it moves in a negative direction. Give the equation modeling the displacement d as a function of time 1. DO - D6 To sino Ocoso Oxna Worked Example Submit Assignment 2017 McGraw-Hill Education. All Riahts Reserved. Terms of Use Privacy 19 9 D 0 2 1 0 FDA O® won Pg w)

Explanation / Answer

let the function be

x = A sin ( Bx + c )

amplitude = 5

period = 8

2 pi / B = 8

B = 1/4

hence, we get

x = 5 sin ( pi/4 t + theta )

finding theta from initial dispacement 5

5 = 5 sin ( 0 + theta )

sin theta = 1

theta = 90 or pi/2

hence, we can write

d = 5 sin ( pi/4 t + pi/2 )

or

d = 5 cos ( pi/4 t )

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.