Solve the Problem $s = - \frac { 16 } { 25 } \sin 5 t - 5 t + 4$

question 32

Multiple Choice

Solve the problem.
-Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t.
A = 16 cos 5t, v(0) = -5, s(0) = 4

• A) \(s = - \frac { 16 } { 25 } \sin 5 t - 5 t + 4\)
• B) \(s = - \frac { 16 } { 25 } \cos 5 t - 5 t + 4\)
• C) \(\mathrm { s } = \frac { 16 } { 25 } \cos 5 \mathrm { t } + 5 \mathrm { t } + 4\)
• D) \(s = \frac { 16 } { 25 } \sin 5 t - 5 t + 4\)

---

Definitions:

Medicare

A federal health insurance program in the United States for people who are 65 or older, as well as for some younger people with disabilities.

Cooptation

A strategy by which members of a group are absorbed or assimilated to quell dissent and secure authority.

Hospices

Specialized care facilities or services that provide support and care for those in the final phase of a terminal illness, focusing on comfort and quality of life.

Outpatient Surgeries

Surgical procedures that do not require the patient to stay overnight in a hospital, allowing for recovery at home.