A person of mass 80 kg escapes from a burning building by jumping from a window situated 30 m above a catching net. The acceleration of gravity is 9.8 m/s2 . If air friction exerts a constant force of 100 N on her as she falls, determine her speed just before she hits the net:
1. 24.6495 m/s
2. 22.9396 m/s
3. 6.37868 m/s
4. 17.4299 m/s

You and a friend (alex) are at a a tree-top adventure park .. . part of the course requires you to climb up a rope. you both climb the same rope in the same amount of time. however, the tension in the rope is greater when alex climbs. who did the most work? alex did - more tension means more force - more force means more work was done you did - less tension means less force - less force means more work was done to find the work done, the force exerted and distance moved are multiplied. a couch is moved twice before you are happy with its placement. the same force was used to move the couch both times. if more work is done the first time it is moved, what do you know about the distance it was moved? when more work was done, the couch was moved less. when more work was done, the couch was moved further. when more work was done, the couch wasn't moved at all. when more work was done, the couch was moved the same distance.

(1 point) match the differential equations and their vector valued function solutions. you may wish to multiply at least one solution out fully, to make sure that you know how to do it. you can get the other answers quickly by process of elimination and just multiply out one row element.

What is a subatomic particle with a negative charge and very little mass?