JEE Advanced Model Paper 17 with solutions for online practice

A particle moves in x-y plane with y-component of velocity in meters per second given by vy = 8t with t in seconds. The acceleration of the particle in the x-direction in metres persecond square is given by ax = 4t with t in seconds. When t = 0, y = 2m, x = 0 and vx = 0 . Ifthe magnitude of the velocity v of the particle for the instant when its x co-ordinate reaches18 m is 5x m/s, find the value of x.