A car with a mass of 2700 kg is rolling down a hill with a grade that is 15° above the horizontal with a velocity of 2 m/s. The car had 400m before it hits the water barrels which act as springs. A. Calculate the total energy the car has at the top of the hill

B. At the bottom of the hill, the car smashed into water barrels which act as spring with a spring constant of 1,500,000 N/m. How much distance will the water barrel/spring need to compress to stop the car?

C. If the water barrels are only 1.5m thick, will the car come to a complete stop. Explain your reasoning.

*at least find the height and answers C*

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