Strarting from x = 0 with no initial velocity, a particle is given an acceleration a = 0.1 * ( squere root v^2+16 ) where a and v are expressed in ft/s^2 and ft/s, respectively. determine:
a) the position of the paricle when v = 3 ft/s
b) the speed and acceleration of the particle when x = 4 ft.