{ "metadata": { "name": "", "signature": "sha256:0f7242c47093d1a671ed93f821c40acaeb14b795b5ea8c74623c63dfc9c85a4c" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 03:Uniform Accelerated Motion" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.1:pg-97" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_1\n", "\n", "\n", " #To find the balls instantaneous velocity and Average Velocity\n", "d1=8.6 #units in meters\n", "t1=0.86 #units in sec\n", "vp=d1/t1 #units in meters/sec\n", "print \"The Instantaneous Velocity at P Vp=\",round(vp),\" meters/sec\\n\"\n", " #The ball stops at position Q Hence vp=0 met/sec\n", "vq=0 #units in meters/sec\n", "print \"The Instantaneous Velocity at Q Vq=\",round(vq,10),\" meters/sec\\n\"\n", "d2=-10.2 #units in meters\n", "t2=1.02 #units in sec\n", "vn=d2/t2 #units in meters/sec\n", "print \"The Instantaneous Velocity at N Vn=\",round(vn),\" meters/sec\\n\"\n", "d3=20 #units in meters\n", "t3=2.0 #units in sec\n", "vAQ=d3/t3 #units in meters/sec\n", "print \"The Average Velocity between A and Q is VAQ=\",round(vAQ),\" meters/sec\\n\"\n", "d4=0 #units in meters\n", "t4=4.0 #units in sec\n", "vAM=d4/t4 #units in meters/sec\n", "print \"The Average Velocity between A and M is VAM=\",round(vAM,10),\" meters/sec\\n\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The Instantaneous Velocity at P Vp= 10.0 meters/sec\n", "\n", "The Instantaneous Velocity at Q Vq= 0.0 meters/sec\n", "\n", "The Instantaneous Velocity at N Vn= -10.0 meters/sec\n", "\n", "The Average Velocity between A and Q is VAQ= 10.0 meters/sec\n", "\n", "The Average Velocity between A and M is VAM= 0.0 meters/sec\n", "\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.2:pg-98" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_2\n", "\n", "\n", " #To calculate the Acceleration\n", "v1=20.0 #units in meters/sec\n", "v2=15.0 #units in meters/sec\n", "t1=0 #units in sec\n", "t2=0.5 #units in sec\n", "c_v=v2-v1 #units in meters/sec\n", "c_t=t2-t1 #units in sec\n", "acceleration=c_v/c_t #units in meters/sec**2\n", "print \"Acceleration a=\",round(acceleration,2),\" meters/sec**2\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Acceleration a= -10.0 meters/sec**2\n" ] } ], "prompt_number": 7 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.3:pg-98" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_3\n", "\n", "\n", " #To find acceleration and the distance it travels in time\n", "vf=5.0 #units in meters/sec\n", "v0=0 #units in meters/sec\n", "t=10.0 #units in sec\n", "a=(vf-v0)/t #units in meters/sec**2\n", "v_1=(vf+v0)/2 #unis in meters/sec\n", "x=v_1*t #units in meters\n", "print \"Acceleration is a=\",round(a,1),\" meters/sec\\n\"\n", "print \"Distance travelled is x=\",round(x),\" meters\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Acceleration is a= 0.5 meters/sec\n", "\n", "Distance travelled is x= 25.0 meters\n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.4:pg-99" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_4\n", "\n", "\n", " #To find acceleration and time taken to stop\n", "v0=5.0 #units in meters/sec\n", "vf=0 #units in meters/sec\n", "v_1=(v0+vf)/2 #units in meters/sec\n", "x=20.0 #units in meters\n", "t=x/v_1 #units in sec\n", "a=(vf-v0)/t #units in meters/sec**2\n", "print \"Acceleration is a=\",round(a,3),\" meters/sec**2\\n\"\n", "print \"Time taken to stop t=\",round(t),\" sec\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Acceleration is a= -0.625 meters/sec**2\n", "\n", "Time taken to stop t= 8.0 sec\n" ] } ], "prompt_number": 9 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.5:pg-100" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_5\n", "\n", "import math\n", " \n", " #To calculate the speed and time to cover\n", "a=4.0 #units in meters/sec**2\n", "x=20.0 #units in meters\n", "vf=math.sqrt(a*x*2) #units in meters/sec\n", "t=vf/a #units in sec\n", "print \"Speed vf=\",round(vf,2),\" meters/sec\\n\"\n", "print \"Time taken T=\",round(t,2),\" sec\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Speed vf= 12.65 meters/sec\n", "\n", "Time taken T= 3.16 sec\n" ] } ], "prompt_number": 10 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.6:pg-112" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_6\n", " \n", "import math \n", " #To find the time taken by a car to travel\n", "x=98.0 #uniys in meters\n", "a=4.0 #units in meters/sec**2\n", "t=math.sqrt((2*x)/a) #units in sec\n", "print \"Time taken by a car to travel is T=\",round(t),\" sec\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Time taken by a car to travel is T= 7.0 sec\n" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.7:pg-112" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_7\n", " \n", "import math \n", " #To calculate the time taken to travel\n", "v0=16.7 #units in meters/sec\n", "a=1.5 #units in meters/sec**2\n", "x=70 #units in meters\n", "t=-((-v0)+math.sqrt(v0**2-(4*(a/2)*x)))/(2*(a/2)) #units in sec\n", "print \"Time taken to travel T=\",round(t,1),\" sec\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Time taken to travel T= 5.6 sec\n" ] } ], "prompt_number": 12 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.8:pg-114" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_8\n", " \n", " \n", " #To calculate the acceleration\n", "vf=30.0 #units in meters/sec\n", "v0=0 #units in meters/sec\n", "t=9.0 #units in sec\n", "a=(vf-v0)/t #units in meters/sec**2\n", "a=a*(1/1000.0)*(3600.0/1)*(3600.0/1) #units in km/h**2\n", "print \"Acceleration a=\",round(a),\" km/h**2\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Acceleration a= 43200.0 km/h**2\n" ] } ], "prompt_number": 13 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.9:pg-114" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_9\n", " \n", " \n", " #To find how above the water is the bridge\n", "v0=0 #units in meters/sec\n", "t=3.0 #units in sec\n", "a=-9.8 #units in meters/sec**2\n", "y=(v0*t)+(0.5*a*t**2) #units in meters\n", "print \"The bridge is y=\",round(y),\" meters above the water\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The bridge is y= -44.0 meters above the water\n" ] } ], "prompt_number": 14 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.10:pg-115" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_10\n", " \n", "import math \n", " #To find out how high does it goes and its speed and how long will it be in air \n", "vf=0 #units in meters/sec\n", "v0=15 #units in meters/sec\n", "a=-9.8 #units in meters/sec**2\n", "y=(vf**2-v0**2)/(2*a) #units in meters\n", "print \"Distance it travels is y=\",round(y,1),\" meters\\n\"\n", "vf=-math.sqrt(2*a*-y) #units in meters/sec\n", "print \"The speed is vf=\",round(vf),\" meters/sec\\n\"\n", "t=vf/(0.5*a) #units in sec\n", "print \"Time taken is T=\",round(t,2),\" sec\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Distance it travels is y= 11.5 meters\n", "\n", "The speed is vf= -15.0 meters/sec\n", "\n", "Time taken is T= 3.06 sec\n" ] } ], "prompt_number": 15 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.11:pg-116" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_11\n", " \n", " \n", " #To find out how fast a ball must be thrown\n", "a=9.8 #unita in meters/sec**2\n", "t=3 #units in sec\n", "v=(0.5*a*t**2)/t\n", "print \"The speed by which the ball has to be thrown is v=\",round(v,1),\" meters/sec\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The speed by which the ball has to be thrown is v= 14.7 meters/sec\n" ] } ], "prompt_number": 16 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.12:pg-117" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_12\n", " \n", "import math \n", "#To find out where the ball will hit the ground\n", "#Horizontal\n", "y=2 #units in meters\n", "a=9.8 #units in meters/sec**2\n", "t=math.sqrt(y/(0.5*a)) #units in sec\n", "v=15 #units in meters/sec\n", "x=v*t #units in sec\n", "print \"The ball hits the ground at x=\",round(x,2),\" meters\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The ball hits the ground at x= 9.58 meters\n" ] } ], "prompt_number": 17 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex3.13:pg-118" ] }, { "cell_type": "code", "collapsed": false, "input": [ " #Example 3_13\n", " \n", "import math \n", " #To find out at what height above ground does it hit wall and is it still going up befor it hits or down\n", "v_1=24.0 #units in meters/sec\n", "x=15.0 #units in meters\n", "t=x/v_1 #units in sec\n", "v0=18 #units in meters/sec\n", "a=-9.8 #units in meters/sec**2\n", "y=(v0*t)+(0.5*a*t**2) #units in meters\n", "print \"The arrow hits y=\",round(y,1),\" meters above the straight point\\n\"\n", "v=v0+(a*t) #units in meters/sec\n", "print \"The Vertical componet of velocity is v=\",round(v,1),\" meters/sec\\n\"\n", "print \"As V is Positive the arrow is in its way up\\n\"\n", "vtotal=math.sqrt(v**2+v_1**2) #units in meters/sec\n", "print \"The magnitude of velocity is vtotal=\",round(vtotal,1),\" meters/sec\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The arrow hits y= 9.3 meters above the straight point\n", "\n", "The Vertical componet of velocity is v= 11.9 meters/sec\n", "\n", "As V is Positive the arrow is in its way up\n", "\n", "The magnitude of velocity is vtotal= 26.8 meters/sec\n" ] } ], "prompt_number": 19 } ], "metadata": {} } ] }