radio receiver of mass 5.25 kg is set on a platform that vibrates in SHM at 116 Hz and with a maximum accelera

Question

Equipment to be used in airplanes or spacecraft is often subjected to a shake test to be sure it can withstand the vibrations that may be encountered during flight. A radio receiver of mass 5.25 kg is set on a platform that vibrates in SHM at 116 Hz and with a maximum acceleration of 93 m/s2 (= 9.5 g).
(a) Find the radio's maximum displacement.
m
(b) Find the radio's maximum speed.
m/s
(c) Find the maximum net force exerted on it.
488.25 N

I found answer c but i do not know how to find a or b and have been trying to solve it for hours now.

Answer 1

S= 0.5at^2
t= 0.5 T the acceleration is applied at half the period off oscillation.

a) S= 0.25 a T^2 since t=1/f
S= 0.25 a /f
S= 9.5 x 9.81 / (116 x 4)=
S=0.200 m

b) V= at = a T/2
V= 9.5 g /(2f)
V= 9.5 g / (2x116 )
V=0.402 m/s

c) F=ma
F= 5.25 x 9.5 x 9.81= 489 N (still your answer is correct only please use only 3 SF)