Consider a crossbow that fires a bolt straight upward from the ground with an initial velocity of 53 m/s. Because of linear air resistance with a drag coefficient p = 0.05, its velocity function v=dy/dt satisfies the following initial value problem. dv dt =f(tv)= -0.05v-9.8, v(0) = 53 20 This problem has an exact solution v(t) = 249 e (a) Use a calculator or computer implementation of the Runge-Kutta method to approximate v(t) for 0 st 10 using both n = 100 and n = 200 subintervals. (Round to four decimal places as needed.) 1 tn Vn, n = 100 - 196. 2 3 4 5 6 7 8 9 10 ||