{
"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": {}
}
]
}