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. The altitude (ft) from the sea level and the corresponding time (sec) for a fictitious rocket were measured as follows: Time 0 20 40 6080100120140160180200 Altitude370 9170 23835 45624 62065 87368 97355 103422 127892 149626160095 Numerically compute the velocity from the table above using the central difference scheme. Use equation (1) at t-0 and equation (2) at t 200 f(x) Eq. 1 2 h f(x) Eq. 2) 2 h Make sure that you attach example runs showing the results from the computer Show transcribed image text . The altitude (ft) from the sea level and the corresponding time (sec) for a fictitious rocket were measured as follows: Time 0 20 40 6080100120140160180200 Altitude370 9170 23835 45624 62065 87368 97355 103422 127892 149626160095 Numerically compute the velocity from the table above using the central difference scheme. Use equation (1) at t-0 and equation (2) at t 200 f(x) Eq. 1 2 h f(x) Eq. 2) 2 h Make sure that you attach example runs showing the results from the computer
Expert Answer
#include
//for time equals 0 using equation 1
double f1(long int h[])
{
double v;
v = 4*h[1]-h[2]-3*h[0];
v=v/(2*h[0]);
return v;
}
//for time =200// using equation 2
double f2(long int h[])
{
double v;
v=3*h[10]-4*h[9]+h[8];
v=v/(2*h[10]);
return v;
}
//for remaing time values.
double f(int x,long int t[],long int h[])
{
double v;
v = h[x+1]-h[x-1];
v =v/(t[x+1]-t[x-1]);
return v;
}
int main()
{
//array declarations
long inttime[]={0,20,40,60,80,100,120,140,160,180,200};
long intaltitude[]={370,9170,23835,45624,62065,87368,97355,103422,127892,149626,160095};
double vel[10];
//calculating velocities..using central differencescheme…
int x;
for(x=0;x<11;x++)
{
printf(“Time:%ldn”,time[x]);
printf(“Altitude :%ldn”,altitude[x]);
if(time[x]==0)
{
printf(“Result :%lfn”,f1(altitude));
}
else if(time[x]==200)
{
printf(“Result :%lfn”,f2(altitude));
}
else
{
printf(“Result :%lfn”,f(x,time,altitude));
}
}
return 0;
}
output:-
Time :0
Altitude : 370
Result : 15.858108
Time :20
Altitude : 9170
Result : 586.625000
Time :40
Altitude : 23835
Result : 911.350000
Time :60
Altitude : 45624
Result : 955.750000
Time :80
Altitude : 62065
Result : 1043.600000
Time :100
Altitude : 87368
Result : 882.250000
Time :120
Altitude : 97355
Result : 401.350000
Time :140
Altitude : 103422
Result : 763.425000
Time :160
Altitude : 127892
Result : 1155.100000
Time :180
Altitude : 149626
Result : 805.075000
Time :200
Altitude : 160095
Result : 0.030210
Process exited normally.
Press any key to continue . . .
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