A simple pendulum is $5\mathrm{.}00$ m long. $($a$)$ What is the period of simple harmonic motion for this pendulum if it is located in an elevator accelerating upward at $5\mathrm{.}00$ m$/$s$^2?($b$)$ What is its period if the elevator is accelerating downward at $5\mathrm{.}00$ m$/$s$2?($c$)$ Wha is the period of simple harmonic motion for the pendulum if it is placed in a truck that is accelerating horizontally at $5\mathrm{.}00$ m$/$s$^2?$