(3,5) 10

The linear density p in a rod 5 m long is 13 x + 4 kg/m kg/m, where x is measured in meters from one end of the rod. Find the average density Pave (in kg/m) of the rod. Pave =

A ball is thrown vertically upward so that it has a velocity after t seconds, in ft/sec, is v(t) = 90 − 32·t. Find the total displacement of the ball from t = 2  to  t = 5.

A trough is 5 meters long and 1 meter high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = x from x = -1 to x = 1. The trough is full of water. Find the amount of work (in joules) required to empty the trough by pumping the water over the top. (The acceleration due to gravity is 9.8 and the density of water is 1000 kg m³ m s²