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according to sign conventions upward direction is taken as positive and downward direction is taken as negative . g is always downwards and therefore taken as negative.in downward motion displacement will be in downward direction and therfore displacement ,velocity ,and g all will be negative.while moving downwards magnitude of velocity will increase and beccome more negative.
its not compulsory to take g negative both up and down.but since many students make a mistake about the sign of g,so a sign convention is followed in which the vectors pointing upwards are taken positive while those pointing downwards are taken negative.as a result g is taken negative since it acts in downward.
hope i helped u.
Thanks for your reply. Will you please clarify further on your point that g need not have to be taken -ve both upwards and downwards. My understanding is that g always acts downwards, so will always have one sign either +ve or -ve depending on what sign we assign to other downward acting forces.
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