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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:81e7e778194095c491cf9fdf7aefef02501d247d9b184528d44cff4b23142c68"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 2 :Motion in a straight line"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.1 , Page no:11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "s=9 #miles\n",
+ "#since 45 min=3/4hr\n",
+ "t=3/4 #hr\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "v=(s/t)\n",
+ "\n",
+ "#RESULTS\n",
+ "print \"Velocity in min/hr =\",round(v);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity in min/hr = 12.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.2 , Page no:11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "s=(1100*3)\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Distance in ft =\",round(s);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Distance in ft = 3300.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.3 , Page no:11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "s=1.5*10**11; #m\n",
+ "v=3*10**8; #ms\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "t=(s/v)\n",
+ "\n",
+ "#Result\n",
+ "print\"Time in second =\",round(t),\"sec\";"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time in second = 500.0 sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.4 , Page no:11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "s=270; #mils\n",
+ "t=4.5; #hours\n",
+ "t2=7; #hours\n",
+ "s2=300; #mi\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "v=(s/t)\n",
+ "vt=(v*t2)\n",
+ "t3=(s2/v)\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Velocity in min/hr =\",round(v),\"mi/hr\";\n",
+ "print\"Distance in mile =\",round(vt),\"mils\";\n",
+ "print\"Time in hr =\",round(t3),\"hours\";"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity in min/hr = 60.0 mi/hr\n",
+ "Distance in mile = 420.0 mils\n",
+ "Time in hr = 5.0 hours\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.5 , Page no:11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "s=1000; #distance in mile\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "v=400+120; #velocity in mile/hr\n",
+ "t=s/v;\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Time in hr =\",round(t,1); "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time in hr = 1.9\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.6 , Page no:11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "v1=100; #speed in km/hr\n",
+ "v2=60; #speed in km/hr\n",
+ "v3=80; #speed in km/hr\n",
+ "t1=2; #time in hr\n",
+ "t2=2; #time in hr\n",
+ "t3=1; #time in hr\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "v=((v1*t1)+(v2*t2)+(v3*t3))/(t1+t2+t3)\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Velocity in km/hr =\",round(v);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity in km/hr = 80.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.7 , Page no:12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "v=40; #velocity in ft/sec\n",
+ "t=10; #time in sec\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "a=v/t;\n",
+ "v1=a*t\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Accelaration in ft/sec square =\",round(a);\n",
+ "print\"Velocity in ft/sec =\",round(v1);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Accelaration in ft/sec square = 4.0\n",
+ "Velocity in ft/sec = 40.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.8 , Page no:12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "v=30; #velocity in min/hr\n",
+ "v0=20; #velocity in min/hr\n",
+ "t=1.5; #time in sec\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "a=((v-v0)/t); #calculating acc. \n",
+ "t1=(36-30)/a; #calculating time\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Accelaration in (min/h)/sec =\",round(a,3);\n",
+ "print\"Time in second =\",round(t1,2);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Accelaration in (min/h)/sec = 6.667\n",
+ "Time in second = 0.9\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.9 , Page no:12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "v=24; #velocity in m/sec\n",
+ "a=8; #acc. in m/sec square\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "t=v/a; #using t=v/a\n",
+ "s=(1/2)*(a*t*t); #kinematical equation\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Time in sec =\",round(t);\n",
+ "print\"Distance in metre =\",round(s);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time in sec = 3.0\n",
+ "Distance in metre = 36.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.10 , Page no:12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "v=30; #velocity in m/sec\n",
+ "a=6; #acc. in m/sec square\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "t=v/a; #using t=v/a\n",
+ "s=(1/2)*(a*t*t); #kinematical equation\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Time in sec =\",round(t);\n",
+ "print\"Distance in metre =\",round(s);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time in sec = 5.0\n",
+ "Distance in metre = 75.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.11 , Page no:12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "v=math.sqrt(2*5*600);\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Velocity in ft/sec =\",round(v);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity in ft/sec = 77.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.12 , Page no:12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "v=50; #velocity in m/sec\n",
+ "s=500; #distance in m\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "a=((v*v)/(2*s));\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Acc. in m/sec square =\",round(a,2)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Acc. in m/sec square = 2.5\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.13 , Page no:13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "v=15; #velocity in m/sec\n",
+ "v0=30; #velocity in m/sec\n",
+ "a=-2; #acc. in m/sec square\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "s=((v*v)-(v0*v0))/(2*a); #kinematical equation\n",
+ "v=0;\n",
+ "s1=(v*v)-(v0*v0)/(2*a);\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Distance in metre =\",round(s,2);\n",
+ "print\"Distance in metre =\",round(s1,2);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Distance in metre = 168.75\n",
+ "Distance in metre = 225.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.14 , Page no:13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "g=9.8; #gravitational constant in m/sec square\n",
+ "t=2.5; #time in sec\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "v=g*t;\n",
+ "h=(1/2)*g*t*t; #kinematical equation\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Velocity in m/sec =\",round(v,2);\n",
+ "print\"Height in m =\",round(h,3);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity in m/sec = 24.5\n",
+ "Height in m = 30.625\n"
+ ]
+ }
+ ],
+ "prompt_number": 14
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.15 , Page no:13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "g=32; #gravitational constant in ft/sec square\n",
+ "h=64; #height in ft\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "t=(math.sqrt((2*h)/g)); #kinematical equation\n",
+ "v=g*t; #kinematical equation\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Time in sec =\",round(t);\n",
+ "print\"Velocity in ft/sec =\",round(v);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time in sec = 2.0\n",
+ "Velocity in ft/sec = 64.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.16 , Page no:13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "g=32; #gravitational constant in ft/sec square\n",
+ "h=100; #height in ft\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "v=math.sqrt(2*g*h); #calculating velocity \n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Velocity in ft/sec =\",round(v);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity in ft/sec = 80.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.17 , Page no:13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "h=0.78; #height in m\n",
+ "g=9.8; #gravitational constant in m/sec square\n",
+ "v=0.5; #velocity in m/sec\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "t=math.sqrt((2*h)/g); #calculating t\n",
+ "s=v*t; #calculating distance\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Time required in sec =\",round(t,3);\n",
+ "print\"Horizontal distance in m =\",round(s,3);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time required in sec = 0.399\n",
+ "Horizontal distance in m = 0.199\n"
+ ]
+ }
+ ],
+ "prompt_number": 17
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.18 , Page no:14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "v0=20; #velocity in ft/sec\n",
+ "g=32; #gravitational constant in ft/sec\n",
+ "t=2; #time in sec\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "v=v0+(g*t); #kinematical equation\n",
+ "s=(v0*t)+(1/2)*g*t*t; #kinematical equation\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Velocity in ft/sec =\",round(v);\n",
+ "print\"Distance in ft =\",round(s);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity in ft/sec = 84.0\n",
+ "Distance in ft = 104.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 18
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.19 , Page no:14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "v0=20; #velocity in ft/sec\n",
+ "g=-32; #gravitational constant in ft/sec\n",
+ "t=0.5; #time in sec\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "v=v0+(g*t); #kinematical equation\n",
+ "t=2; #time in sec\n",
+ "s=v0+(g*t); #kinematical equation\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Velocity in ft/sec =\",round(v);\n",
+ "print\"Distance in ft =\",round(s);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity in ft/sec = 4.0\n",
+ "Distance in ft = -44.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 19
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.20 , Page no:14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#initialisation of variables\n",
+ "h=6; #height in ft\n",
+ "g=32; #gravitaional constant in ft/sec square\n",
+ "\n",
+ "#CALCULATIONS\n",
+ "t=math.sqrt((2*h)/g); #calculating time\n",
+ "\n",
+ "#RESULTS\n",
+ "print\"Time in sec =\",round(t,3);"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time in sec = 0.612\n"
+ ]
+ }
+ ],
+ "prompt_number": 20
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file
generated by cgit (git 2.34.1) at 2024-12-19 17:08:51 +0000