A progressive wave propagates towards positive-x direction with a velocity of 5 m s-1. The amplitude and wavelength are 15 mm and 40 cm respectively. Calculate the vibrational speed of a particle at position x = 0.5 cm at time t = 0.2 s.

Water is siphoned from a large tank and discharges into the atmosphere through a 50-mm diameter tube. the end of the tube is b = 2.6 m below the tank bottom which is a = 6.7 m deep, and viscous effects are negligible. determine the maximum height h over which the water can be siphoned without cavitation occurring. atmospheric pressure is 101.4 kpa, and the water vapor pressure is 1.79 kpa (absolute). report your answer in meters to two decimal places.