Question

NOTE: 8m/s^2 is not the ans (ie. 1st option)​

Answer 1

Explanation:

v = 2x²

We know acceleration = dv/dt

therefore, dv/dt = d(2x²)/dt

= 4x

when x = 2m

acceleration = 4x = 4×2 = 8m/s²

Answer 2

Explanation:

$v = 2 {x}^{2} = >v \frac{dv}{dx} = a = 2 {x}^{2}( \frac{d}{dx}(2 {x}^{2} ))$

$= > a = 2 {x}^{2}(4x) = 8 {x}^3 = >$

$= > a = 8 {(2)}^{3} = 8(8) = 64 \frac{m}{ {s}^{2}}$

Correct option is (c) 64 m/s2. Hope it helps you.