Question

The velocity of a particle moving along x-axis is given as v = 3x. Acceleration of the particle at x = 2m is
1) 18 m/s2
2)24m/s2
3)6 m/s2
4)l 12 m/s2

Answer 1

${\bold { \underline{\large{Given :- }}}}$

Velocity of Particle is v = 3x

${\bold { \underline{\large{To\:Find :- }}}}$

Acceleration of the particle at x = 2m

$\pink{\bold{ \underline{\large{Formulae :- }}}}$

${\pink\implies}\sf{Acceleration = v \times \frac{dv}{dx}}$

Now, By Using Formulae

$\implies\sf{a = v \times\frac{d(3x)}{dx}}$

$\implies\sf{a = 3x \: \times 3 }$

$\implies\sf{a =3 \times 2 \times 3} \\ \\ \sf{ \implies18 \: {m/s}^{2} }$

Answer 2

Answer:

18m/s^2

Explanation:

Acceleration =v×(dv/dx)

a = v × (d(3x)/dx)

a = 3x × 3

a = 3×2×3 = 18 m/s^2

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