Question

A model rocket is launched upward from a stationary position on the launchpad. The following initial value problem describes the velocity of the rocket: dv32 456 -0.5 v2, v(0) 0 Use the Euler method with step size 0.2 to approximate the velocity v(0.4) of the rocket 0.4 seconds after the launch a 9.96 ft sec b) 33.86 f sec 49.25 sec d) 11.84 ft sec

Answer 1

dv 32+ V(o):0 dt S-0.46 ftp St.Ze h o 2 Hete, and Vo0 V, VbfCut) 2)o,) -32 + S-04a) 0254) 2=V,hf(v) 8yCo-2)-(4, &-2) 1-84-t 0.2 -2) 9.458 tee 2+ hf(,t) 9.98t (o2).f(9-8, 04) us6 82t z 9.958 + o.2 5-(o)0y)

19.4 fHrec . The Veloiy the rockel o4 fec v (o.4) 4/tec affe the kaneh 12.4 AS Per my Solutin none opehin set