An aeroplane accelerates from rest along a runway at a constant rate of 4ms^-2. It needs to reach a velocity of 80ms^-1 to take off. Find out how long the runway needs to be.

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 = 2.1 m below the tank bottom which is a = 7.4 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)