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Consider a crossbow that fires a bolt straight upward from the ground with an initial velocity of 56 m/s. Because of linear air resistance with a drag coefficient p=0.04, its velocity function v=dy/dt satisfies the following initial value problem. f(tv)= -0.04v-9.8, v(0)=56 This problem has an exact solution v(t)=301e In Yan-100 Vn-200 25 (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 44.1976 -245. Answer parts (a) through (c) below GROCER 2 3 32.8580 21.9631 M 4 11.4953 14380 I 6 8.2250 All 17 5091 OV 8 26 4291

Consider a crossbow that fires a bolt straight upward from the ground with an initial velocity of 56 m/s. Because of linear air resistance with a drag coefficient p=0.04, its velocity function v=dy/dt satisfies the following initial value problem. f(tv)= -0.04v-9.8, v(0)=56 This problem has an exact solution v(t)=301e In Yan-100 Vn-200 25 (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 44.1976 -245. Answer parts (a) through (c) below GROCER 2 3 32.8580 21.9631 M 4 11.4953 14380 I 6 8.2250 All 17 5091 OV 8 26 4291

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider a crossbow that fires a bolt straight upward from the ground with an initial velocity of 56 m/s. Because of linear air resistance with a drag coefficient p=0.04, its velocity function v=dy/dt satisfies the following initial value problem. dv -=f(tv)= -0.04v-9.8, v(0)=56 dt This problem has an exact solution v(t) = 301e Van-100 Vnin 200 (a) Use a calculator or computer implementation of the Runge-Kutta method to approximate v(t) for 0sts 10 using both n=100 and n=200 subintervals. (Round to four decimal places as needed.) 1 44. 1976 0 25 2 32 8580 -245. Answer parts (a) through (c) below 3 21.9631 H GUCCEED 4 11.4953 5 6 1.4380 -8.2250 ALL 7 17.5091 8 26.4291
Transcribed Image Text:Consider a crossbow that fires a bolt straight upward from the ground with an initial velocity of 56 m/s. Because of linear air resistance with a drag coefficient p=0.04, its velocity function v=dy/dt satisfies the following initial value problem. dv -=f(tv)= -0.04v-9.8, v(0)=56 dt This problem has an exact solution v(t) = 301e Van-100 Vnin 200 (a) Use a calculator or computer implementation of the Runge-Kutta method to approximate v(t) for 0sts 10 using both n=100 and n=200 subintervals. (Round to four decimal places as needed.) 1 44. 1976 0 25 2 32 8580 -245. Answer parts (a) through (c) below 3 21.9631 H GUCCEED 4 11.4953 5 6 1.4380 -8.2250 ALL 7 17.5091 8 26.4291
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