Question

Using graphical method derive S = ut +½ at2 (b) A body falling from rest covers distances S1 and S2 in 1st and 2nd second respectively. Calculate the ratio S1/S2. *​

Answer 1

Answer:

Distance travelled (s) = Area of figure OABC = Area of rectangle OADC + Area of triangle ABD

s=12AB×BD

s=(12AB×BD)+(OA×OC)

Since BD = EA, the above equation becomes

s=(12AB×EA)+(u×t)

As EA = at, the equation becomes

s=12×at×t+ut

On further simplification, the equation becomes

s=ut+12at2