An object is at x = 0 at t = 0 and moves along the x axis according to the velocity–time graph in figure p2.50.(a) what is the object’s acceleration between 0 and 4.0 s? (b) what is the object’s acceleration between 4.0 s and 9.0 s? (c) what is the object’s acceleration between 13.0 s and 18.0 s? (d) at what time(s) is the object moving with the lowest speed? (e) at what time is the object farthest from x = 0? (f) what is the final position x of the object at t = 18.0 s? (g) through what total distance has the object moved between t = 0 and t = 18.0 s?

A110-pound person pulls herself up 4.0 feet. this took her 2.5 seconds. how much power was developed? 0.13 hp 0.32 hp 2.0 hp 3.1 hp

Determine the maximum r-value of the polar equation r =3+3 cos 0

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)