3. Let gravity be g| = 10ms- in the negative z-direction, see Fig 2. A projectile is found at 0s: (x, y, z) = (600 m, 800 m, 400 m) , relative to the origin (0, 0, 0). We may suppose each given number is accurate. Your numerical answers must be up to 3 significant figures. https://commons. wikimedia. org/wiki/File: 30_Cartesian.svg 2 At time 0s, the velocity vector of this projectile is measured; its z-component is 10msupward, x-component is -61ms, and y-component is -79ms-1. (a) Find the radial velocity, the direction (angle) and the magnitude of (Ur, Vy), toward (not the origin but) z-axis, when the projectile is at (0.6 km, 0.8 km, 0.4 km) . (Hint: Consider x-y plane.) (b) Suppose that this projectile has no internal drive, following the free-fall law in z-direction. Recalling the discussion of projectile motion, we can decompose the entire motion into: i. a constant velocity motion in radial direction (relative to the central z-axis), ii. and a constant acceleration motion in z-direction. Find the radial distance and the height as functions of time t. (c) Determine whether the projectile will hit around the origin, within 3m radius circle or not. Your answer must be Yes/No with reasoning. Figure 2: 3D Cartesian coordinate