As soon as a traffic light turns green, a car speeds up from rest to 53.0 mi/h with constant acceleration 8.00 mi/h/s. In the adjoining bike lane, a cyclist speeds up from rest to 19.0 mi/h with constant acceleration 12.00 mi/h/s. Each vehicle maintains constant velocity after reaching its cruising speed. (a) For what time interval is the bicycle ahead of the car? s (b) By what maximum distance does the bicycle lead the car?

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.