From a stand on top of a bookshelf, you launch a marble with a speed of 3 m/s at a 25 degree angle with the intent of having it land in a small pink bucket that rests on the floor. If the launcher is 1.3 m above the floor. How far from the base of the bookcase should you place the bucket?

Consider a one meter long horizontal pipe with a constant 100 cm^2 cross sectional area. water flows rightward into the pipe at x = 0 with flow velocity 02m/sec at every point within the pipe intake area. at x=1, the rightward flow rate is 0.192 m/sec. assume the water is a conserved quantity in the pipe, so there must be a leak (a sink) somewhere in the pipe. 1. compute net volumetric flow of the source if the system to be in equilibrium. 2. now assume the pipe in the problem has no leaks. compute the net volumetric rate of change for the system.