Question

Please explain what the question means. I would solve it by myself. Thankss! :D

Answer 1

According to question there is a particle which is moving on curve 12y=x³ and at time t its x co-ordinate is 10 and you need to find which one is greater dy/dt or dx/dt for this you need to differentiate 12y=x³ wrt to t and find rates of x and y coordinates. 
12dy/dt=3x²dx/dt if dy/dt is horizontal speed (y axis ) and dx/dt ( x axis) 12Vy=3(100)VX
Vy=300/12VX
so particle moves faster along y coordinate i.e, dy/dt>dx/dt.

Answer 2

12y = x³

differentiate wrt time

12dy/dt = 3x²dx/dt

dy/dt = speed of particle in y -axis = Vy(let)
dx/dt = speed of particle in x -axis = Vx(let)

e.g 12Vy = 3x²Vx

at x = 10

12Vy = 3(10)²Vx

4Vy = 100Vx

Vy = 25Vx

here you can see that particle speed in y axis is 25 times greater then x -axis .
so,
particle faster in y -axis
so, option ( B) is correct