The graphs in (i) and (ii) show the S-t graph and V -t graph of a body. Are the motions shown in the graphs represented by OAB the same ?

Explanation

The motion shown by the two graphs are not same.
(i) In the given s-t graph OA, is a uniform retardation motion.
Here, displacement =(average velocity) x (time)
`therefore 10=((u+0)/2)xx4`
`therefore u=5 ms^(-1)`
using `v^2-u^2=2as`
`0-5^2=2a(10)`
`a=-1.25 ms^(-2)`
(ii)In the given V-t graph
OA is a uniform retardation of motion
a =slope of the line -`(OA)/(OB)=(-4ms^(-1))/(4s)=-1ms^(-2)`
Thus the two graphs even though represent uniform retardation motions, the magnitudes are not equal.