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  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Chapter 02:Natural Soil Deposits and Subsoil Exploration"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex2.1:Pg-109"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#example 2.1\n",
      "import matplotlib.pyplot as plt\n",
      "import numpy\n",
      "import math\n",
      "Distance=[2.5,5,7.5,10,15,20,25,30,35,40,50];\n",
      "Time=(10**(-3))*numpy.array([11.2,23.3,33.5,42.4,50.9,57.2,64.4,68.6,71.1,72.1,75.5])\n",
      "#part1\n",
      "distance=5.25; # in meter\n",
      "time=23e-3; # in second\n",
      "v1=distance/time;\n",
      "print round(v1,2),\"is speed in m/s\"\n",
      "#part2\n",
      "distance=11; # in meter\n",
      "time=13.5e-3;# in second\n",
      "v2=distance/time;\n",
      "print round(v2,2),\" is speed in m/s\"\n",
      "#part3\n",
      "distance=14.75;# in meter\n",
      "time=3.5e-3;# in second\n",
      "v3=distance/time;\n",
      "print round(v3,2),\"speed in m/s\"\n",
      "plt.plot(Distance,Time);\n",
      "plt.title(\"distance vs time\")\n",
      "plt.xlabel(\"Distance in m\")\n",
      "plt.ylabel(\"time in s\")\n",
      "plt.show()\n",
      "#part4\n",
      "xc=10.4;\n",
      "Ta=65e-3;\n",
      "Z1=1/2.0*math.sqrt((v2-v1)/(v2+v1))*xc;\n",
      "print round(Z1,2),\" is thickness of layer 1 in m\"\n",
      "Z2=1/2.0*(Ta-2*Z1*math.sqrt(v3**2-v1**2)/v3/v1)*v3*v2/math.sqrt(v3**2-v2**2);\n",
      "print round(Z2,2),\" is thickness of layer 2 in m\"\n",
      "\n",
      "# the answers are slightly different in textbook due to approximation while here answers are precise"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "228.26 is speed in m/s\n",
        "814.81  is speed in m/s\n",
        "4214.29 speed in m/s\n",
        "3.9"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "  is thickness of layer 1 in m\n",
        "12.82  is thickness of layer 2 in m\n"
       ]
      }
     ],
     "prompt_number": 10
    }
   ],
   "metadata": {}
  }
 ]
}