Balistik

NIM : 230605110077

DOSEN PENGAMPU : Prof. Dr. SUHARTONO, M.Kom

LEMBAGA : UIN MAULANA MALIK IBRAHIM MALANG

library(mosaicCalc)

## Loading required package: mosaic

## Registered S3 method overwritten by 'mosaic':
##   method                           from   
##   fortify.SpatialPolygonsDataFrame ggplot2

## 
## The 'mosaic' package masks several functions from core packages in order to add 
## additional features.  The original behavior of these functions should not be affected by this.

## 
## Attaching package: 'mosaic'

## The following objects are masked from 'package:dplyr':
## 
##     count, do, tally

## The following object is masked from 'package:Matrix':
## 
##     mean

## The following object is masked from 'package:ggplot2':
## 
##     stat

## The following objects are masked from 'package:stats':
## 
##     binom.test, cor, cor.test, cov, fivenum, IQR, median, prop.test,
##     quantile, sd, t.test, var

## The following objects are masked from 'package:base':
## 
##     max, mean, min, prod, range, sample, sum

## Loading required package: mosaicCore

## 
## Attaching package: 'mosaicCore'

## The following objects are masked from 'package:dplyr':
## 
##     count, tally

## The legacy packages maptools, rgdal, and rgeos, underpinning the sp package,
## which was just loaded, will retire in October 2023.
## Please refer to R-spatial evolution reports for details, especially
## https://r-spatial.org/r/2023/05/15/evolution4.html.
## It may be desirable to make the sf package available;
## package maintainers should consider adding sf to Suggests:.
## The sp package is now running under evolution status 2
##      (status 2 uses the sf package in place of rgdal)

## 
## Attaching package: 'mosaicCalc'

## The following object is masked from 'package:stats':
## 
##     D

traj <- integrateODE(
  dx ~ u, dy ~ v, du ~ 0, dv ~ -9.8, #dynamics
  x=0, y=100, u = 250, v=0, #initial conditions
  bounds(t=0:5)
) 

## Warning in makeODE(...): Parameters <x> & <y> are not used in the differential
## equations.

## Solution containing functions x(t), y(t), u(t), v(t).

r <- makeFun(alpha*sqrt(u^2 + v^2) ~ u & v, alpha=0.003)
traj2 <- integrateODE(
  dx ~ u, dy ~ v, du ~ -u*r(u,v), dv ~ -9.8 - v*r(u,v), #dynamics
  x=0, y=100, u = 250, v=0, #initial conditions
  bounds(t=0:6)
)

## Warning in makeODE(...): Parameters <x> & <y> are not used in the differential
## equations.

## Solution containing functions x(t), y(t), u(t), v(t).