Which of the following equations does NOT correctly represent the relationship between physical quantities for an object moving with uniform acceleration?
\(2as = v^2 + u^2\)
The three correct equations of motion for uniform acceleration are \(v = u + at\), \(s = ut + \dfrac{1}{2}at^2\) and \(v^2 - u^2 = 2as\).
The third equation can also be written as \(v^2 = u^2 + 2as\), which gives \(2as = v^2 - u^2\), NOT \(v^2 + u^2\).
So the equation \(2as = v^2 + u^2\) has a wrong sign and does not represent the correct relationship.
Hence, the incorrect equation is \(2as = v^2 + u^2\).
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