A simple pendulum is made from a point mass with a mass of $1\mathrm{.}75$ that is attached to a string

that is $0\mathrm{.}225$ long.

a$.$ It is released from rest when $4\mathrm{.}50$ from equilibrium at $=0.$

i$.$ What is the angular position of the mass as a function of time, $()?$

ii$.$ At what time does the mass first return to its equilibrium position?

b$.$ It is released from rest when $2\mathrm{.}25$ from equilibrium at $=0.$

i$.$ What is the angular position of the mass as a function of time, $()?$

ii$.$ At what time does the mass first reach its maximum speed?