Jeff is part of a trekking team. as he climbs a hill, he drops his water bottle, which has a mass of 0.25 kilograms.
the bottle slides down the hill and is moving at a velocity of 14 meters/second the instant it hits the ground. the vertical height from where jeff dropped the bottle is meters. ignore friction, and use , pe = m × g × h, and g = 9.8 m/s2.

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x,y,t)along the plate at any time t.b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax