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4) Recall that the velocity of a freefalling parachutist with linear drag can be computed analytically as gm where v(t) = velocity (m/s), t =
4) Recall that the velocity of a freefalling parachutist with linear drag can be computed analytically as gm where v(t) = velocity (m/s), t = time (s), g = 9.891 m/s, m = mass (kg), c = linear drag coefficient (kg/s). The distance the parachutist falls is found by integrating the velocity equation over time. Approximate how far the jumper travels during the first 8 seconds of free fall given m-80 kg and c 10 kg/s. Use the trapezoid rule with 1,2, and 4 segments. Use Romberg integration to combine the approximations from (a) into a single approximation with error on the order of O(hs). Present your results in a table similar to the examples in the Chapter 22 PowerPoint Find the final approximate percent relative error. a) b) c) 4) Recall that the velocity of a freefalling parachutist with linear drag can be computed analytically as gm where v(t) = velocity (m/s), t = time (s), g = 9.891 m/s, m = mass (kg), c = linear drag coefficient (kg/s). The distance the parachutist falls is found by integrating the velocity equation over time. Approximate how far the jumper travels during the first 8 seconds of free fall given m-80 kg and c 10 kg/s. Use the trapezoid rule with 1,2, and 4 segments. Use Romberg integration to combine the approximations from (a) into a single approximation with error on the order of O(hs). Present your results in a table similar to the examples in the Chapter 22 PowerPoint Find the final approximate percent relative error. a) b) c)
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