Question

33. (a) Using graphical method
derive S = ut +2 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:

S=ut+12gt2S=ut+12gt2, u=0u=0

S=12gt2S=12gt2

Here s is displacement.

Distance dropped in 1st1st second, S1=12g×(1)2=12g×1S1=12g×(1)2=12g×1

Distance dropped in 2nd2nd second, S2=12g×(2)2−12g×(1)2=12g×3S2=12g×(2)2−12g×(1)2=12g×3

Distance dropped in 3rd3rd second, S3=12g×(3)2−12g×(2)2=12g×5S3=12g×(3)2−12g×(2)2=12g×5

S1:S2:S3=1:3:5