Consider a body that moves horizontally through a medium whose resistance is proportional to the square of the velocity v, so that dv=dt D "kv2. Show that v. t / D v0 1 C v0kt and that x. t / D x0 C 1 k ln.1 C v0kt /: Note that, in contrast with the result of Problem 2, x. t / ! C1 as t ! C1. Which offers less resistance when the body is moving fairly slowly—the medium in this problem or the one in Problem 2? Does your answer seem consistent with the observed behaviors of x. t / as t ! 1?

Aballoon is rising vertically upwards at a velocity of 10m/s. when it is at a height of 45m from the ground, a parachute bails out from it. after 3s he opens his parachute and decelerates ata a constant rate 5m/s.when. (a) what was the height of the parachutist above the ground when he opened his parachute? (b)how far is the parachutist from the balloon at t=3s? (c)with what velocity does the parachutist hit the ground? (d)after how long does the parachutist hit the ground after his exist from the balloon?

Global climatic patterns are changing because of the melting of polar ice caps. the melting of polar ice caps is an example of the interaction between the atmosphere and cryosphere cryosphere and geosphere hydrosphere and geosphere biosphere and cryosphere

What is the specific heat of wood ?