Question

a particle projected from origin moves in x-y plane with a velocity v=3i + 6xj,where i and j are the unit vectors along x and y axis .Find the equation of path followed by the particle.
1) y=x^2
2)y=1/x^2
3)y=2x^2
4)y=1/x

Answer 1

that your answer ok tell in comment

Answer 2

$\underline{\large\bf{\mathfrak{Hello!}}}$

To solve this question you need to know the concept of projectile and how we find out the angle formed by a projectile.

$tan\theta =\frac{dy}{dx} =\frac{ v_{x}} {v_{y}} \\ \frac{dy}{dx} =\frac{6x}{3} \\\frac{dy}{dx} =2x\\\int\ {dy} =\int\{2x} \, dx \\y=\frac{2{x}^{2}}{2} \\y ={x}^{2}$

We should also know how to do integration.

$\boxed{y = {x}^{2}}$

$\bf{\mathfrak{Hope \: this \: helps...:)}}$