A particle of mass m is projected in a uniform gravitational field. The initial conditions at time t = 0 are* (1) ro= 0 and Vo = u = (U, U2, U3). (a) Determine the trajectory r(t) in terms of u and g (the gravitational acceleration), and show that it is a parabola. (b) Determine the range of the projectile on a horizontal plane, and its maximum height above the plane (in terms of the u, and g). Hence, determine the maximum range.