Rocket Trajectory. A small rocket is being designed to make wind shear in the vi
ID: 3878783 • Letter: R
Question
Rocket Trajectory. A small rocket is being designed to make wind shear in the vicinity of thunderstorms. Before testing begins, the design rs are developing a simulation of the rocket's trajectory. They have derived the equation that they believe will predict the performance of the test neasurements ollowing where t is the elapsed time in seconds: height = 60 + 2. 13t2-0.00 13t4 + 0.000034t4751 ocket, he equation gives the height above ground level at time t. The first term (60) is e height in feet above ground level of the nose of the rocket. Give the commands to compute and print the time and height of the rocket from t = 0 to the time that it hits the ground, in increments of 2 seconds. If the rocket has not hit the ground within 100 seconds, print values only up through 100 seconds. Modify the steps in problem 1 so that instead of a table, the program prints the time at which the rocket begins falling back to the ground and the time at which the rocket impacts.Explanation / Answer
PLEASE REFER BELOW CODE
close all
clear all
clc
syms t
h = 60 + 2.13 * t^2 - 0.0013 * t^4 + 0.000034 * t^4.751;
% printing table with time and height
t1 = 0;
i=1;
fall = 0;
while t1 < 101
ht(i) = subs(h,t,t1);
if( ht(i) == 0.000000001) %checking if rocket reaches to ground before 100s
break;
else
fprintf('%f %f ', t1,ht(i)); %print table
if ht(i) < 0 && ht(i-1) > 0 && i >= 2 %condition at time which rocket begins falling
fall = t1-2;
end
%incrementing time by 2s and array index
t1 = t1 + 2;
i = i + 1;
end
end
%time at which rocket falls means the instant at which height will get
%decreasing(-ve)
fprintf(' Time at which rocket begins to fall = %f seconds ', fall);
PLEASE REFER BELOW OUTPUT
0.000000 60.000000
2.000000 68.500116
4.000000 93.771853
6.000000 135.164429
8.000000 191.659034
10.000000 261.916368
12.000000 344.320095
14.000000 437.017560
16.000000 537.958484
18.000000 644.932053
20.000000 755.602700
22.000000 867.544777
24.000000 978.276275
26.000000 1085.291709
28.000000 1186.094264
30.000000 1278.227275
32.000000 1359.305116
34.000000 1427.043531
36.000000 1479.289474
38.000000 1514.050484
40.000000 1529.523627
42.000000 1524.124050
44.000000 1496.513154
46.000000 1445.626419
48.000000 1370.700905
50.000000 1271.302439
52.000000 1147.352514
54.000000 999.154898
56.000000 827.421995
58.000000 633.300946
60.000000 418.399488
62.000000 184.811587
64.000000 -64.857144
66.000000 -327.464244
68.000000 -599.305406
70.000000 -876.089661
72.000000 -1152.914764
74.000000 -1424.242751
76.000000 -1683.875666
78.000000 -1924.931466
80.000000 -2139.820082
82.000000 -2320.219630
84.000000 -2457.052786
86.000000 -2540.463300
88.000000 -2559.792652
90.000000 -2503.556849
92.000000 -2359.423355
94.000000 -2114.188150
96.000000 -1753.752917
98.000000 -1263.102354
100.000000 -626.281598
Time at which rocket begins to fall = 62.000000 seconds
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