Question

The velocity of a particle moving along x axis is given as V=3x. Acceleration of the particle at x=2m is​

Answer 1

Answer:

acceleration =v/t

Explanation:

3x/m

3(2)=m

m=6

Answer 2

Answer:

​ a=18 m/s²

Explanation:

Given that

V = 3 x

As we know that acceleration given as

$a=\dfrac{d^2x}{dt^2}$

We can also express acceleration as

$a=V\dfrac{dV}{dx}$            --------------1

At x= 2 m,V= 2 x 3= 6 m/s             ------------2

$\dfrac{dV}{dx}=3$          -----------3

Now equation 1 ,2 and 3

$a=V\dfrac{dV}{dx}$  

$a=6\times 3\ m/s^2$  

a=18 m/s²

So the acceleration of the particle at x=2m is​ a=18 m/s²