Stan is driving north on his scooter at 8m/s, accelerates 11m/s (north) in 4s, drives a constant velocity for the next 15s, and then comes to stop in 7s.

a) calculate stan’s accelerator for each segment of the motion.

b) find the result displacement after 26s.

c) calculate stan’s average velocity

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