Function prototypes Void UpdatePosistion(double pos[], double vel[], const doubl
ID: 3853515 • Letter: F
Question
Function prototypes
Void UpdatePosistion(double pos[], double vel[], const double timeInc);
Void UpdateVelocity(double vel[], const double acc[], const double timeInc);
Void OutputPosition(double pos[]);
Variables
const double timeInc = .001 // unit s
const double initialVelocity = 110; // units m/s
const double target[3] = { 1000, 0, 0}; // units m ( x, y, z coordinates) East is positive x
const double acc[3] = { 0, .25, -9.81}; // units m/s2 wind and gravity, North is positive y
double azimuth, elevation, time;
double pos[3], vel[3];
As always you must match the column and precision formatting.
Don’t for get to sign your screens.
Equations
newXpos = oldXpos + timeInterval * oldXVel
newYpos = oldYpos + timeInterval * oldYVel
newXvel = oldXvel + timeInterval * Xacceleration
newYvel = oldYvel + timeInterval * Yacceleration
Yacceleration = -9.81 + time
X acceleration = -time // it changes with time
muzzleVelocity = 50;
InitialXVel = muzzleVelocity * cos(elevationAngle)
InitialYvel = muzzleVelocity * sin(elevationAngle)
timeInterval = .001 seconds
Units
Seconds
Meters
Course objectives
You must use functions to update position, velocity, and acceleration.
You must use arrays for the position, velocity, and acceleration vectors.
Bonus points for students who can hit the target.
You must prompt the user for initial input of azimuth and elevation angle.
You must output the time, the height, and the downrange distance at each increment of time. (instantaneous states)
You program must terminate when the projectile strikes the ground.
You must use the “+=” operator.
All data must be output with three decimal places. (use setprecision)
All columns must be aligned. (use setw)
HW 5-16-submission format protected View) Microsoft Word (Product age Layout References Mailings Review View Add-Ins nated from an Internet location and might be unsafe. Click for more details. Enable E CSCI 1205-001, Spring 2016 HW #7 Functions and Arrays Name: Dr. Gray Due date: 4-10-16 Output: Required-Output Screen C: n1.exe Time: 19.954s X-Pos: 998.613m Y-Pos: 0.815m Height: 0.881 Time 19.955s X-Pos 998.663m Y-Pos: -0.812m Height: 0.783 Time: 19.956s X-Pos 998.713m Y-Pos: -0.810m Height: e.685 Time 19.957s X-Pos 998.763a V-Pos: -0.807m Height: 0.587 Time 19.958s X-Pos. 998.813m Y-Pos: 0.805m Height: 0.489 Time 19.959s X-Pos: 998.863 Y-pos 0.803m Height: 0.391 Time 19.960s X-Pos: 998. 914m Y-Pos: 0.800m Height: 0.293 Time 19.961 s X-Pos: 998.964m Y-Pos 0.798 m Height: 0.196 Time 19.962s X-Pos: 999.014m Y-Pos: 0.795m Height: 0.098 Time 19.963s X-Pos. 999 .064n Y-Pos: 0.793m Height: 0.000 missed by 1.227 Author: Dr. Gray Azimuth -2.900 Elevation angle 62.900 Program Listing: Your code goes here Pseudocode listing:Explanation / Answer
// C++ code
#include <iostream>
#include <cmath>
#include <iomanip>
using namespace std;
void UpdatePosition(double pos[], double vel[], const double timeInc)
{
pos[0]+=+timeInc*vel[0];
pos[1]+=+timeInc*vel[1];
pos[2]+=timeInc*vel[2];
}
void UpdateVelocity(double vel[], const double acc[], const double timeInc)
{
//vel[0] will be same as acceleration in x direction is 0
vel[1]+=timeInc*acc[1];
vel[2]+=timeInc*acc[2];
}
void OutputPosition(double pos[])
{
cout<<"X-POS "<<setw(10)<<setprecision(6)<<pos[0]<<"m ";
cout<<"Y_POS"<<setw(10)<<setprecision(3)<<pos[1]<<"m ";
cout<<"Height"<<setw(10)<<setprecision(3)<<pos[2]<<"m"<<endl;
}
int main()
{
const double PI=3.142;
const double timeInc = .001; // unit s
const double initialVelocity = 110; // units m/s
const double target[3] = { 1000, 0, 0}; // units m ( x, y, z coordinates) East is positive x
const double acc[3] = { 0, .25, -9.81}; // units m/s2 wind and gravity, North is positive y
double azimuth, elevation, time;
double pos[3], vel[3];
//initial positon in all dimensions is 0
for(int i=0;i<3;i++)
{
pos[i]=0;
}
//Taking azimuth and elevation angle as input from the user
cout<<"enter the elevation angle"<<endl;
cin>>elevation;
cout<<"enter the azimuth angle"<<endl;
cin>>azimuth;
//initial velocity,I have not used formulas given by you as they are incomplete,I have used the correct formulas
vel[0]=initialVelocity*cos(elevation*PI/180)*cos(azimuth*PI/180);
vel[1]=initialVelocity*cos(elevation*PI/180)*sin(azimuth*PI/180);
vel[2]=initialVelocity*sin(elevation*PI/180);
double flightTime=0.0;
//iterating until the height becomes equal to 0
while(pos[2]>0 || flightTime==0)
{
flightTime+=timeInc;
UpdatePosition(pos,vel,timeInc);
UpdateVelocity(vel,acc,timeInc);
cout<<"Time "<<setw(10)<<setprecision(6)<<flightTime<<"s ";
OutputPosition(pos);
}
//calculating the distance by which target was missed
cout<<"missed by "<<setprecision(4)<<abs(1000-pos[0])<<endl;
cout<<"Azimuth = "<<setprecision(4)<<azimuth<<" Elevation = "<<setprecision(4)<<elevation<<endl;
return 0;
}
/*
output:
enter the elevation angle
1
enter the azimuth angle
2
Time 0.001s X-POS 0.109916m Y_POS 0.00384m Height 0.00192m
Time 0.002s X-POS 0.219832m Y_POS 0.00768m Height 0.00383m
Time 0.003s X-POS 0.329749m Y_POS 0.0115m Height 0.00573m
Time 0.004s X-POS 0.439665m Y_POS 0.0154m Height 0.00762m
Time 0.005s X-POS 0.549581m Y_POS 0.0192m Height 0.0095m
Time 0.006s X-POS 0.659497m Y_POS 0.023m Height 0.0114m
Time 0.007s X-POS 0.769414m Y_POS 0.0269m Height 0.0132m
Time 0.008s X-POS 0.87933m Y_POS 0.0307m Height 0.0151m
Time 0.009s X-POS 0.989246m Y_POS 0.0346m Height 0.0169m
Time 0.01s X-POS 1.09916m Y_POS 0.0384m Height 0.0188m
Time 0.011s X-POS 1.20908m Y_POS 0.0422m Height 0.0206m
Time 0.012s X-POS 1.31899m Y_POS 0.0461m Height 0.0224m
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Time 0.235s X-POS 25.8303m Y_POS 0.909m Height 0.181m
Time 0.236s X-POS 25.9402m Y_POS 0.913m Height 0.181m
Time 0.237s X-POS 26.0501m Y_POS 0.917m Height 0.181m
Time 0.238s X-POS 26.1601m Y_POS 0.921m Height 0.18m
Time 0.239s X-POS 26.27m Y_POS 0.925m Height 0.18m
Time 0.24s X-POS 26.3799m Y_POS 0.928m Height 0.179m
Time 0.241s X-POS 26.4898m Y_POS 0.932m Height 0.179m
Time 0.242s X-POS 26.5997m Y_POS 0.936m Height 0.179m
Time 0.243s X-POS 26.7096m Y_POS 0.94m Height 0.178m
Time 0.244s X-POS 26.8196m Y_POS 0.944m Height 0.178m
Time 0.245s X-POS 26.9295m Y_POS 0.948m Height 0.177m
Time 0.246s X-POS 27.0394m Y_POS 0.952m Height 0.177m
Time 0.247s X-POS 27.1493m Y_POS 0.956m Height 0.176m
Time 0.248s X-POS 27.2592m Y_POS 0.96m Height 0.176m
Time 0.249s X-POS 27.3691m Y_POS 0.964m Height 0.175m
Time 0.25s X-POS 27.4791m Y_POS 0.967m Height 0.175m
Time 0.251s X-POS 27.589m Y_POS 0.971m Height 0.174m
Time 0.252s X-POS 27.6989m Y_POS 0.975m Height 0.174m
Time 0.253s X-POS 27.8088m Y_POS 0.979m Height 0.173m
Time 0.254s X-POS 27.9187m Y_POS 0.983m Height 0.172m
Time 0.255s X-POS 28.0286m Y_POS 0.987m Height 0.172m
Time 0.256s X-POS 28.1386m Y_POS 0.991m Height 0.171m
Time 0.257s X-POS 28.2485m Y_POS 0.995m Height 0.171m
Time 0.258s X-POS 28.3584m Y_POS 0.999m Height 0.17m
Time 0.259s X-POS 28.4683m Y_POS 1m Height 0.17m
Time 0.26s X-POS 28.5782m Y_POS 1.01m Height 0.169m
Time 0.261s X-POS 28.6881m Y_POS 1.01m Height 0.168m
Time 0.262s X-POS 28.7981m Y_POS 1.01m Height 0.168m
Time 0.263s X-POS 28.908m Y_POS 1.02m Height 0.167m
Time 0.264s X-POS 29.0179m Y_POS 1.02m Height 0.166m
Time 0.265s X-POS 29.1278m Y_POS 1.03m Height 0.166m
Time 0.266s X-POS 29.2377m Y_POS 1.03m Height 0.165m
Time 0.267s X-POS 29.3476m Y_POS 1.03m Height 0.164m
Time 0.268s X-POS 29.4575m Y_POS 1.04m Height 0.164m
Time 0.269s X-POS 29.5675m Y_POS 1.04m Height 0.163m
Time 0.27s X-POS 29.6774m Y_POS 1.05m Height 0.162m
Time 0.271s X-POS 29.7873m Y_POS 1.05m Height 0.161m
Time 0.272s X-POS 29.8972m Y_POS 1.05m Height 0.161m
Time 0.273s X-POS 30.0071m Y_POS 1.06m Height 0.16m
Time 0.274s X-POS 30.117m Y_POS 1.06m Height 0.159m
Time 0.275s X-POS 30.227m Y_POS 1.07m Height 0.158m
Time 0.276s X-POS 30.3369m Y_POS 1.07m Height 0.158m
Time 0.277s X-POS 30.4468m Y_POS 1.07m Height 0.157m
Time 0.278s X-POS 30.5567m Y_POS 1.08m Height 0.156m
Time 0.279s X-POS 30.6666m Y_POS 1.08m Height 0.155m
Time 0.28s X-POS 30.7765m Y_POS 1.08m Height 0.154m
Time 0.281s X-POS 30.8865m Y_POS 1.09m Height 0.154m
Time 0.282s X-POS 30.9964m Y_POS 1.09m Height 0.153m
Time 0.283s X-POS 31.1063m Y_POS 1.1m Height 0.152m
Time 0.284s X-POS 31.2162m Y_POS 1.1m Height 0.151m
Time 0.285s X-POS 31.3261m Y_POS 1.1m Height 0.15m
Time 0.286s X-POS 31.436m Y_POS 1.11m Height 0.149m
Time 0.287s X-POS 31.546m Y_POS 1.11m Height 0.148m
Time 0.288s X-POS 31.6559m Y_POS 1.12m Height 0.148m
Time 0.289s X-POS 31.7658m Y_POS 1.12m Height 0.147m
Time 0.29s X-POS 31.8757m Y_POS 1.12m Height 0.146m
Time 0.291s X-POS 31.9856m Y_POS 1.13m Height 0.145m
Time 0.292s X-POS 32.0955m Y_POS 1.13m Height 0.144m
Time 0.293s X-POS 32.2055m Y_POS 1.14m Height 0.143m
Time 0.294s X-POS 32.3154m Y_POS 1.14m Height 0.142m
Time 0.295s X-POS 32.4253m Y_POS 1.14m Height 0.141m
Time 0.296s X-POS 32.5352m Y_POS 1.15m Height 0.14m
Time 0.297s X-POS 32.6451m Y_POS 1.15m Height 0.139m
Time 0.298s X-POS 32.755m Y_POS 1.16m Height 0.138m
Time 0.299s X-POS 32.865m Y_POS 1.16m Height 0.137m
Time 0.3s X-POS 32.9749m Y_POS 1.16m Height 0.136m
Time 0.301s X-POS 33.0848m Y_POS 1.17m Height 0.135m
Time 0.302s X-POS 33.1947m Y_POS 1.17m Height 0.134m
Time 0.303s X-POS 33.3046m Y_POS 1.17m Height 0.133m
Time 0.304s X-POS 33.4145m Y_POS 1.18m Height 0.132m
Time 0.305s X-POS 33.5244m Y_POS 1.18m Height 0.131m
Time 0.306s X-POS 33.6344m Y_POS 1.19m Height 0.13m
Time 0.307s X-POS 33.7443m Y_POS 1.19m Height 0.129m
Time 0.308s X-POS 33.8542m Y_POS 1.19m Height 0.128m
Time 0.309s X-POS 33.9641m Y_POS 1.2m Height 0.126m
Time 0.31s X-POS 34.074m Y_POS 1.2m Height 0.125m
Time 0.311s X-POS 34.1839m Y_POS 1.21m Height 0.124m
Time 0.312s X-POS 34.2939m Y_POS 1.21m Height 0.123m
Time 0.313s X-POS 34.4038m Y_POS 1.21m Height 0.122m
Time 0.314s X-POS 34.5137m Y_POS 1.22m Height 0.121m
Time 0.315s X-POS 34.6236m Y_POS 1.22m Height 0.12m
Time 0.316s X-POS 34.7335m Y_POS 1.23m Height 0.118m
Time 0.317s X-POS 34.8434m Y_POS 1.23m Height 0.117m
Time 0.318s X-POS 34.9534m Y_POS 1.23m Height 0.116m
Time 0.319s X-POS 35.0633m Y_POS 1.24m Height 0.115m
Time 0.32s X-POS 35.1732m Y_POS 1.24m Height 0.114m
Time 0.321s X-POS 35.2831m Y_POS 1.25m Height 0.112m
Time 0.322s X-POS 35.393m Y_POS 1.25m Height 0.111m
Time 0.323s X-POS 35.5029m Y_POS 1.25m Height 0.11m
Time 0.324s X-POS 35.6129m Y_POS 1.26m Height 0.109m
Time 0.325s X-POS 35.7228m Y_POS 1.26m Height 0.108m
Time 0.326s X-POS 35.8327m Y_POS 1.26m Height 0.106m
Time 0.327s X-POS 35.9426m Y_POS 1.27m Height 0.105m
Time 0.328s X-POS 36.0525m Y_POS 1.27m Height 0.104m
Time 0.329s X-POS 36.1624m Y_POS 1.28m Height 0.102m
Time 0.33s X-POS 36.2724m Y_POS 1.28m Height 0.101m
Time 0.331s X-POS 36.3823m Y_POS 1.28m Height 0.0998m
Time 0.332s X-POS 36.4922m Y_POS 1.29m Height 0.0984m
Time 0.333s X-POS 36.6021m Y_POS 1.29m Height 0.0971m
Time 0.334s X-POS 36.712m Y_POS 1.3m Height 0.0957m
Time 0.335s X-POS 36.8219m Y_POS 1.3m Height 0.0944m
Time 0.336s X-POS 36.9319m Y_POS 1.3m Height 0.093m
Time 0.337s X-POS 37.0418m Y_POS 1.31m Height 0.0916m
Time 0.338s X-POS 37.1517m Y_POS 1.31m Height 0.0903m
Time 0.339s X-POS 37.2616m Y_POS 1.32m Height 0.0889m
Time 0.34s X-POS 37.3715m Y_POS 1.32m Height 0.0875m
Time 0.341s X-POS 37.4814m Y_POS 1.32m Height 0.086m
Time 0.342s X-POS 37.5913m Y_POS 1.33m Height 0.0846m
Time 0.343s X-POS 37.7013m Y_POS 1.33m Height 0.0832m
Time 0.344s X-POS 37.8112m Y_POS 1.34m Height 0.0817m
Time 0.345s X-POS 37.9211m Y_POS 1.34m Height 0.0803m
Time 0.346s X-POS 38.031m Y_POS 1.34m Height 0.0788m
Time 0.347s X-POS 38.1409m Y_POS 1.35m Height 0.0773m
Time 0.348s X-POS 38.2508m Y_POS 1.35m Height 0.0759m
Time 0.349s X-POS 38.3608m Y_POS 1.35m Height 0.0744m
Time 0.35s X-POS 38.4707m Y_POS 1.36m Height 0.0729m
Time 0.351s X-POS 38.5806m Y_POS 1.36m Height 0.0713m
Time 0.352s X-POS 38.6905m Y_POS 1.37m Height 0.0698m
Time 0.353s X-POS 38.8004m Y_POS 1.37m Height 0.0683m
Time 0.354s X-POS 38.9103m Y_POS 1.37m Height 0.0667m
Time 0.355s X-POS 39.0203m Y_POS 1.38m Height 0.0652m
Time 0.356s X-POS 39.1302m Y_POS 1.38m Height 0.0636m
Time 0.357s X-POS 39.2401m Y_POS 1.39m Height 0.0621m
Time 0.358s X-POS 39.35m Y_POS 1.39m Height 0.0605m
Time 0.359s X-POS 39.4599m Y_POS 1.39m Height 0.0589m
Time 0.36s X-POS 39.5698m Y_POS 1.4m Height 0.0573m
Time 0.361s X-POS 39.6798m Y_POS 1.4m Height 0.0557m
Time 0.362s X-POS 39.7897m Y_POS 1.41m Height 0.054m
Time 0.363s X-POS 39.8996m Y_POS 1.41m Height 0.0524m
Time 0.364s X-POS 40.0095m Y_POS 1.41m Height 0.0508m
Time 0.365s X-POS 40.1194m Y_POS 1.42m Height 0.0491m
Time 0.366s X-POS 40.2293m Y_POS 1.42m Height 0.0475m
Time 0.367s X-POS 40.3393m Y_POS 1.43m Height 0.0458m
Time 0.368s X-POS 40.4492m Y_POS 1.43m Height 0.0441m
Time 0.369s X-POS 40.5591m Y_POS 1.43m Height 0.0424m
Time 0.37s X-POS 40.669m Y_POS 1.44m Height 0.0407m
Time 0.371s X-POS 40.7789m Y_POS 1.44m Height 0.039m
Time 0.372s X-POS 40.8888m Y_POS 1.45m Height 0.0373m
Time 0.373s X-POS 40.9988m Y_POS 1.45m Height 0.0356m
Time 0.374s X-POS 41.1087m Y_POS 1.45m Height 0.0338m
Time 0.375s X-POS 41.2186m Y_POS 1.46m Height 0.0321m
Time 0.376s X-POS 41.3285m Y_POS 1.46m Height 0.0303m
Time 0.377s X-POS 41.4384m Y_POS 1.46m Height 0.0286m
Time 0.378s X-POS 41.5483m Y_POS 1.47m Height 0.0268m
Time 0.379s X-POS 41.6582m Y_POS 1.47m Height 0.025m
Time 0.38s X-POS 41.7682m Y_POS 1.48m Height 0.0232m
Time 0.381s X-POS 41.8781m Y_POS 1.48m Height 0.0214m
Time 0.382s X-POS 41.988m Y_POS 1.48m Height 0.0196m
Time 0.383s X-POS 42.0979m Y_POS 1.49m Height 0.0177m
Time 0.384s X-POS 42.2078m Y_POS 1.49m Height 0.0159m
Time 0.385s X-POS 42.3177m Y_POS 1.5m Height 0.0141m
Time 0.386s X-POS 42.4277m Y_POS 1.5m Height 0.0122m
Time 0.387s X-POS 42.5376m Y_POS 1.5m Height 0.0103m
Time 0.388s X-POS 42.6475m Y_POS 1.51m Height 0.00845m
Time 0.389s X-POS 42.7574m Y_POS 1.51m Height 0.00656m
Time 0.39s X-POS 42.8673m Y_POS 1.52m Height 0.00467m
Time 0.391s X-POS 42.9772m Y_POS 1.52m Height 0.00276m
Time 0.392s X-POS 43.0872m Y_POS 1.52m Height 0.000846m
Time 0.393s X-POS 43.1971m Y_POS 1.53m Height -0.00108m
missed by 956.8
Azimuth = 2 Elevation = 1
*/
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