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S=ut+21at2 becomes,
S=u(av−u)+21a(av−u)2
⇒2aS=2u(v−u)+(v−u)2
⇒2aS=2uv−2u2−v2−2uv−u2
⇒2aS=v2−u2
⇒v2=u2+2aS
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