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Roots of Quadratic Equation

If v2 = u2 ...

Question

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

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Solution

The given quadratic equation is $v^{2} = u^{2} + 2 a s$ .

Substitute $u = 0, a = 2$ and $s = 100$ in the equation $v^{2} = u^{2} + 2 a s$ as follows:

$v^{2} = u^{2} + 2 a s \Rightarrow v^{2} = 0^{2} + (2 \times 2 \times 100) \Rightarrow v^{2} = 400 \Rightarrow v = \sqrt{400} \Rightarrow v = \pm 20$

Hence, $v = \pm 20$ .

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v^{2} = u^{2} + 2 a s

u =

v^{2} - u^{2} = 2 a s

v

u

a

(v^{2} - u^{2} = 2 a s)

(v = u + a t

s = u t + \frac{1}{2} a t^{2})

k = \frac{1}{2} m v^{2}

v

v

k = 100

m = 2

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