If the general solution of a differential equation is y(t) = Ce" + 8, what is the solution that satisfies the initial condition y(0) = 6? . . . y(t) = Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity. and initial position. am: 0.01:. v(0)= 7. and 5(0) 2 0 v{t) = |: (Round to Tour decimal places as needed.) s{t) = |: (Round to four decimal places as needed.) At t=0, a train approaching a station begins decelerating from a speed of 140 mi/hr according to the acceleration function a(t) = - 1120(1 + 4t)- mi/hr, where t20. How far does the train travel between t= 0 and t = 0.2? Between t = 0.2 and t = 0.4? Between t=0 and t= 0.2 the train travels mi. (Round to three decimal places as needed.) Between t= 0.2 and t=0.4 the train travels mi (Round to three decimal places as needed.)Determine the area of the shaded region in the following figure. The area of the shaded region is _ (Round to two decimal places as needed)