A particle on a spring moves in simple harmonic motion along the x axis between turning points at x$1=100$ cm and x$2=140$ cm$.($i$)$ At which of the following positions does the particle have maximum speed? $($a$)100$ cm $($b$)110$ cm $($c$)120$ cm $($d$)$ at none of those positions $($ii$)$ At which position does it have maximum acceleration? Choose from the same possibilities as in part $($i$).($iii$)$ At which position is the greatest net force exerted on the particle? Choose from the same possibilities as in part $($i$).$ PLEASE SHOW STEP BY STEP