Question

Find a model for simple harmonic motion satisfying the specified the conditions.

displacement (t=0) 0 centimeters
amplitude 8 centimeters
period 2 seconds

Answer 1

Answer: d = 8 sin (πt

Step-by-step explanation:

when displacement is 0m in t = 0s, then it's a sine equation

∴ d = A sin (ωt + Ф)

when t = 0, then there's no initial phase

Period ⇒ 2π/ω = 2 ⇒ ω = π

∴ d = 8 sin (πt)