a second astronaut did another experiment in space. she attached a small rocket to the same ball to continuously push the ball the entire distance. it also traveled 50meters from the space station (point a) to the space ship (point d), in space. astronaut 1 measured the speed at point b to be 0.25 m/s. astronaut 2 measured the speed at point c to be 0.75 m/s. the total amount of time required for the ball to travel the 50 meters from the space station to the space ship was 1 minute 22 seconds. what was the acceleration? (hint: convert the time to seconds! )

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.)

True or false graphs must include scales that increase by the same amount

In a heat engine if 1000 j of heat enters the system the piston does 500 j of work, what is the final internal energy of the system if the initial energy was 2000 j? 1. write the equation 2.list out your known variables 3.plug the numbers into the equations 4.solve 5.write your solution statement that includes initial energy and final