Can someone tell me these when an object moves in simple harmonic motion described by the equation d=4 cos(π/2 t + π/2) where t is measured in seconds and d in inches? https://i.imgur.com/7I5fMBj.jpg

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Can someone tell me these when an object moves in simple harmonic motion described by the equation d=4 cos(π/2 t + π/2) where t is measured in seconds and d in inches? https://i.imgur.com/7I5fMBj.jpg

Mathematics
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springs have harmonic motion
period change too
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a. \[ -1 \le cos(x) \le 1 \ so\ -4 \le 4.cos(x) \le 4 \] b.c. \[ cos(x) \ cicle\ are \ 2\pi, \ \ \ 2\pi = t . \frac {\pi}{2} \, \ \rightarrow t = 4s \]\[ freq = \frac{1}{t} \rightarrow freq = \frac {1}{4}\] d. shift left \[ \frac {\pi}{2} \] e. B
So the maximum displacement of the object is 4 inches, the frequency is 2π cycles per second, the time required for one cycle is 4 seconds, and the phase shirt is π/2?
no
phase shift is 1 frequency= cycles/second if one cycle takes 4 secs then 1/4th cycle happens in 1 second
Okay, then the maximum displacement of the object is still 4 inches, the frequency is now 1/4th cycles per second, the time required for one cycle is 4 seconds, and the phase shift is now 1 in.?

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