Question

a body starts from rest with uniform acceleration if its cover S1 distance in first 4 seconds and S2 distance in next 4 seconds then prove that S2 is equal to 3 S 1

Answer 1

Given,
u = 0
s = u*t + 0.5*a*t2
c
For first distance S1
S1 = 0*4 + 0.5 *a* 16
S1 = 0 + 8a
S1 = 8a ………1
For second distance S2
S2 = 4a*4 + 0.5*a*16
S2 = 16a+ 8a
S2 = 24a ………2
from equation 1 and 2
S2 = 3S1