Question

PRECALC/PHYSICS QUESTION:
An objects motion is describe by the equation d=3sin(8pi t)-2. the displacement d is measured in meter. the time t is measured in seconds.

a. what is the object position (in meter)at t=0?
b. what is the object maximum displacement(in meter) from its t=0 position?
c. how much time(in sec) is required for one oscillation
d. what is the frequency(measured in Hz) of this oscillation

Answer 1

a. what is d when t = 0? plug 0 as t

b. what is the maximum value that sin(8pit) can have? this will help you determine the maximum possible value of the entire d(t) function.

c. what is the period? T is the period and omega [looks like w is angular frequency]
for the form:
\[\sin(\omega t)\]\[T = \frac{ 2\pi }{ \omega }\]

d. frequency [Hz] not the be confused with angular frequency [rad/s - the omega symbol], is 1/T

Answer 2

are these correct?
a. -2
b. 3
c. 1/4
d. not sure...how do i know what t is?

Answer 3

a and c are correct

b. 3(1) - 2

d. frequency is simply obtained from period

\[frequency = f = \frac{ 1 }{ T } = \frac{ \omega }{ 2\pi }\]

Answer 4

so it would be 4?

Answer 5

yes

Answer 6

okay thank you so much! :D

Answer 7

glad i could help :)