NUMERICAL SOLUTIONS (Upvote will be given. Please answer the problem USING MS EXCEL. No long explanation needed. Take a screenshot of the formulas and results.) A. Determine the terminal velocity (maximum attainable free fall velocity) by iteration of equation (2)above.1. For initial time = 0, velocity = 0;2. Using v=0 as v(t), determine v(t+1) [For time = 1s, the velocity at ti+1 is 9.8m/s;3. Using v = 9.8 as the next v(t₁), determine v(t+1). Round off numbers to the nearest ten thousandth.4. Repeat the cycle so that the value v(ti+1) - v(ti) = 0.00005. Complete the values in the table below in a separate MS Excel fileTime123456789v(t₁+1)9.800017.8012velocity (m/s)v(t₁)0.00009.8000time (s)v (t+1)-v(ti)9.80008.0012B. Graph the function with x-axis as the time (s) and the y-axis as the velocity (m/s) in the same MS Excelfile as problem A above.0.0000 Numerical Solution to the Falling Parachutist Problem:Fw=mgWhere:Object released from restmсVtiti+1FDFw=mgDuring accelerationA numerical iterative solution was formulated to be:FD=Fw=mgFw=mgA parachutist of mass 68.1 kg jumps out of a stationary hot air balloon. The drag coefficient is 12.5kg/s.Given the differential equation:(1)= acceleration due to gravity, 9.8 m/s²= mass of the parachutist, 68.1 kg=drag coefficient, 12.5 kg/s= velocity, in m/s= initial time interval, in seconds= following time interval, in secondsnet force=mg-mg = 0At terminal velocitydvdtFo-FwmV2v(ti+1)= v(ti) + [g-v(ti)](ti+11 - t₁)(2)

Answer For first iteration, let us first write down the titles of given or known values as shown…

A. Determine the terminal velocity (maximum attainable free fall velocity) by iteration of equation (2) above. 1. For initial time = 0, velocity = 0; 2. Using v=0 as v(t.), determine v(t+1) [For time = 1s, the velocity at ti+1 is 9.8m/s; 3. Using v= 9.8 as the next v(t₁), determine v(t+1). Round off numbers to the nearest ten thousandth. 4. Repeat the cycle so that the value v(ti+1) - v(ti) = 0.0000 5. Complete the values in the table below in a separate MS Excel file

A. Determine the terminal velocity (maximum attainable free fall velocity) by iteration of equation (2) above. 1. For initial time = 0, velocity = 0; 2. Using v=0 as v(t.), determine v(t+1) [For time = 1s, the velocity at ti+1 is 9.8m/s; 3. Using v= 9.8 as the next v(t₁), determine v(t+1). Round off numbers to the nearest ten thousandth. 4. Repeat the cycle so that the value v(ti+1) - v(ti) = 0.0000 5. Complete the values in the table below in a separate MS Excel file

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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INSTRUCTIONS: I. A parachutist of mass 68.1 kg jumps out of a stationary hot air balloon. Use numerial solution to compute velocity prior to opening the chute. The drag coefficient is equal to 12.5 kg/s. Compare the values computed from numerical solution (using the following time steps: At = 2, 1, 0.5, and 0.25) by computing the percent error between the analytical values and the time step used.
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