Question

# If ${v^2} = {u^2} + 2as$ solve for $v$ and find the value of $v$ , if $u = 0,a = 2,s = 100.$

The given quadratic equation is ${v^2} = {u^2} + 2as$
Substitute $u = 0,a = 2,s = 100$ and further simplify, we get
$\Rightarrow {v^2} = {u^2} + 2as \\ \Rightarrow {v^2} = {0^2} + 2 \times 2 \times 100 \\ \Rightarrow {v^2} = 400 \\ \Rightarrow v = \sqrt {400} \\ \Rightarrow v = \pm 20 \\$
Hence, the value of $v$ is $\pm 20.$