A cylinder is suspended from the end of a string. The cylinder is stationary in water with the axis of the cylinder vertical, as shown in Fig. 2.1. [Figure 2.1] The cylinder has weight 0.84 N, height h and a circular cross-section of diameter 0.031 m. The density of the water is 1.0 × 10³ kg m⁻³. The difference between the pressures on the top and bottom faces of the cylinder is 520 Pa. The string is now used to move the cylinder in (a) vertically upwards through the water. The variation with time t of the velocity v of the cylinder is shown in Fig. 2.2. [Figure 2.2] The top face of the cylinder is at a depth of 0.32 m below the surface of the water at time t = 0. The cylinder in (b) is released from the string at time t = 4.0s. The cylinder falls, from rest, vertically downwards through the water. Assume that the upthrust acting on the cylinder remains constant as it falls.