(c)
How long does it take for the swing to complete one full back-and-forth motion (period)?
A child is playing on a swing in a playground. The height $h(t)$ of the swing seat above the ground (in metres) at time $t$ (in seconds) is modeled by the function: $h(t) = 1.5 + 1.2\sin(3\pi t)$.
How long does it take for the swing to complete one full back-and-forth motion (period)?
Discuss theoretical concepts, mathematical formulas, and architectural foundations.