Answer:
Let u and a respectively be the initial velocity and acceleration of the body.
From\[S=ut+\frac{1}{2}a{{t}^{2}}\]
\[100=10\times u+\frac{1}{2}\times a\times {{(10)}^{2}}\]
\[100=10u+50a\]
\[\Rightarrow u+5a=10\] ……..(1)
\[250=20u+100a\]
\[u+10a=12.5\] ………(2)
Multiplying equation (1) by (2), we get,
\[2u+10a=20\] ………(3)
On solving equations (2) and (3)
\[u=7.5m{{s}^{-1}}\]
\[\therefore \]Initial velocity of the body\[=7.5m{{s}^{-1}}\]
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