Turito Academy

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The <img src="data:image/png;base64,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" class="Wirisformula" alt="v minus x" width="37" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»v«/mi»«mo»-«/mo»«mi»x«/mi»«/math»'/> equation from the given graph can be written as, <img src="data:image/png;base64,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" class="Wirisformula" alt="v equals open parentheses negative fraction numerator v subscript 0 end subscript over denominator x subscript 0 end subscript end fraction close parentheses blank x plus v subscript 0 end subscript blank open parentheses i close parentheses" width="182" height="48" style="vertical-align:-18px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»v«/mi»«mo»=«/mo»«mfenced separators=¨|¨»«mrow»«mo»-«/mo»«mfrac»«mrow»«msub»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«mrow»«msub»«mrow»«mi»x«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«/mrow»«/mfenced»«mi» «/mi»«mi»x«/mi»«mo»+«/mo»«msub»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«mi» «/mi»«mi» «/mi»«mi» «/mi»«mi» «/mi»«mi» «/mi»«mi» «/mi»«mi» «/mi»«mi» «/mi»«mi» «/mi»«mfenced separators=¨|¨»«mrow»«mi»i«/mi»«/mrow»«/mfenced»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="therefore blank a equals fraction numerator d v over denominator d t end fraction equals open parentheses negative fraction numerator v subscript 0 end subscript over denominator x subscript 0 end subscript end fraction close parentheses fraction numerator d x over denominator d t end fraction equals open parentheses negative fraction numerator v subscript 0 end subscript over denominator x subscript 0 end subscript end fraction close parentheses blank v" width="267" height="48" style="vertical-align:-18px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»∴«/mo»«mi» «/mi»«mi» «/mi»«mi» «/mi»«mi»a«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»d«/mi»«mi»v«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfenced separators=¨|¨»«mrow»«mo»-«/mo»«mfrac»«mrow»«msub»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«mrow»«msub»«mrow»«mi»x«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«/mrow»«/mfenced»«mfrac»«mrow»«mi»d«/mi»«mi»x«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfenced separators=¨|¨»«mrow»«mo»-«/mo»«mfrac»«mrow»«msub»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«mrow»«msub»«mrow»«mi»x«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«/mrow»«/mfenced»«mi» «/mi»«mi»v«/mi»«/math»'/> Substituting <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAKCAYAAABmBXS+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAGpJREFUeNpjYICAICBeyoAJ9gKxF4yjAsQX0BTYA/FJdF3fgJgJiX8ciF3QFYEE9aBsDyA+iMV6hoVAHAplg6y2xKYoC4i7gDgAiHcz4AAgX6wD4itAbIBLERcQ/wDiTQwEwAcg1mEgBwAA5+gQxmAj9O8AAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnY8L21pPjwvbWF0aD476OiVAAAAAElFTkSuQmCC" class="Wirisformula" alt="v" width="9" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»v«/mi»«/math»'/> from Eq. (i), we get <img src="data:image/png;base64,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" class="Wirisformula" alt="a equals open parentheses negative fraction numerator v subscript 0 end subscript over denominator x subscript 0 end subscript end fraction close parentheses open square brackets open parentheses negative fraction numerator v subscript 0 end subscript over denominator x subscript 0 end subscript end fraction close parentheses blank x plus v subscript 0 end subscript close square brackets" width="198" height="48" style="vertical-align:-18px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»a«/mi»«mo»=«/mo»«mfenced separators=¨|¨»«mrow»«mo»-«/mo»«mfrac»«mrow»«msub»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«mrow»«msub»«mrow»«mi»x«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«/mrow»«/mfenced»«mfenced open=¨[¨ close=¨]¨ separators=¨|¨»«mrow»«mfenced separators=¨|¨»«mrow»«mo»-«/mo»«mfrac»«mrow»«msub»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«mrow»«msub»«mrow»«mi»x«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«/mrow»«/mfenced»«mi» «/mi»«mi»x«/mi»«mo»+«/mo»«msub»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfenced»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="blank a equals open parentheses fraction numerator v subscript 0 end subscript over denominator x subscript 0 end subscript end fraction close parentheses to the power of 2 end exponent blank x minus fraction numerator v subscript 0 end subscript superscript 2 end superscript over denominator x subscript 0 end subscript end fraction" width="143" height="51" style="vertical-align:-18px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi» «/mi»«mi» «/mi»«mi»a«/mi»«mo»=«/mo»«msup»«mrow»«mfenced separators=¨|¨»«mrow»«mfrac»«mrow»«msub»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«mrow»«msub»«mrow»«mi»x«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«/mrow»«/mfenced»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mi» «/mi»«mi»x«/mi»«mo»-«/mo»«mfrac»«mrow»«msubsup»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msubsup»«/mrow»«mrow»«msub»«mrow»«mi»x«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«/math»'/> Thus, <img src="data:image/png;base64,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" class="Wirisformula" alt="a minus x" width="38" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»a«/mi»«mo»-«/mo»«mi»x«/mi»«/math»'/> graph is a straight line with positive slope and negative intercept.

The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement? <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP0AAADMCAMAAACPzVXGAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAALxUExURf///+Pj48jIyPLy8sTExLq6uvv7++Dg4ENDQy0tLR8fH83Nzfb29mFhYRQUFMfHx5+fnzg4OAAAAKmpqfz8/MnJySQkJK6urqOjowQEBIODg/7+/uLi4o6Ojt/f3x0dHWpqavn5+ZiYmLW1tenp6Tc3N0lJScHBwYKCgvHx8QsLC1FRUfj4+EVFRcPDw3p6etzc3MDAwC4uLufn5/39/VVVVRcXF25ubsvLy4SEhBISErm5uVNTU7a2tkpKSpycnOjo6CIiImNjY/r6+qurqw0NDWxsbAEBAQwMDL6+vj4+PpeXlx4eHmVlZff395WVlQMDAzAwMOTk5GlpaQYGBsrKykBAQJqaml1dXRoaGhEREUFBQQICAiUlJe7u7szMzGRkZMXFxe/v74aGhu3t7RAQEOrq6mtra9XV1aWlpbe3t+zs7KysrM7Ozj8/PysrKxwcHDIyMgcHB9HR0aqqqltbW3t7e6ioqPT09AgICNvb24eHh/X19XZ2dk5OTlhYWHV1dRkZGYGBgYuLizQ0NOXl5b29vSgoKHR0dJ6ent3d3aampmZmZqGhoevr6zY2NiwsLDs7O/Pz80dHR2JiYtra2iMjI7CwsBgYGLGxsSoqKqenpyAgIFBQUBUVFV5eXo+Pjy8vL9fX18/PzykpKbi4uHFxcXh4eJCQkFxcXJmZmdbW1nd3d2dnZ4iIiAkJCXx8fIyMjG1tbfDw8F9fXwoKClZWVktLS+bm5iEhIdDQ0DExMScnJ9LS0j09PbS0tA8PD1JSUg4ODp2dnZaWlnBwcHNzc39/f5OTk1paWk9PTxYWFrOzs8bGxtjY2NTU1DMzM+Hh4bu7u7y8vE1NTQUFBX5+fm9vb1lZWaSkpLKystnZ2dPT0yYmJkRERFRUVHl5eXJycpGRkZubm6CgoK2trUZGRkJCQhMTExsbGzk5OUhISJKSkn19fVdXV97e3r+/v6KiomBgYExMTICAgDo6OoWFhYmJiY2NjYqKigAAAF5rfIkAAAD7dFJOU/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8A458DyAAAAAlwSFlzAAAXEQAAFxEByibzPwAABkhJREFUeF7tneuRozAQhBWDciEA0tAPKQmiUBEJRSkWFQEQy00LWNt7Xj946TF85+Lw1u25mlaDmAEsLi4uLi4uLthiDS3MML1hhvZekfwKC37oxsuGvK9pwZFGOhr+zs5vmWFVJUS35L5hlgDtRzH0yxs5zmtcGL3pl3E/yFrPq0wYVfsz3J1UzI59lbwJHiX2gZxw3bxCsVdStvM6PxpS75ke+4RoJcFy1gc81N+CwAtDA59v8DuIlzXT4IfYcw2+DrHnGvwhxF5KOuthSCNVL8eK3VR/wlRGq1645YSPH4wnuji/52s8TnN4e89aPXPvr9xz5fKeL9c+nwkG/Svt7vuXfHJvPMo4ulZ3tRw+3qN5TcKb6u6EllPue7TuhzDyzRC2Aad9fiM7YdHB1O1YhcBzOt4b1DJgvfNajOjmcfLe1n2HEqbFdSst1jjlXnsyn3A1LXxQz2mu56crNUaSbOtp5Hs2/XvdhUO9xsDvwmFfK8WtnK+9If9DFZ9Gfs/t+oXazAM/HPGYyddVZ/20twt7PWbybd+6abo77fMdrxqHXqb681yPmfyF5XjfyZZhM+9nrtfJnp/821yvk/dnvjy4O8dr+A3+m/eQPzKT/3B+3yhm8u+9x6Us413Nr3x+nd8PitV1q4/eC2FqTvL/q+sNNZ0CceG396j685H/pK7HSP7/3tMZoOdyt8p/uQeWi/vPvKefjio0fErnj3q+HVkM/ufe088rtPxK52nuAQv5f3lPMJD/oo9H7pfe53jhPYNK95+5D5Qu/6X3kP9q42TPi9wHyi70v/E+yC+32vU696Bk+W+9L7rN8y73wBUr/wPvUegvtM3zPveg1D7HR94XW+j/JPegTPkfel9on+Oz3IMS+xwfew/5xdU6P809ML60Z1R84X0o9Jfl/ue5B6Yw+V95T/+8rDbPN7kHZcn/0nv6hZL6HN/lHpTU5frae/qVcgr93+YelCN/hfdEVUil+/vcB9oy2jzrvIf8VVstMdbkPlBEm2et96HNk321a2XugVs7bNJhvfclFPpX5x6Q/HktU7Z4n//9HBtyDzLvc2zzPvcbGjblHgw5y9/qfd6F/o25ByQ/V/e3ey+EUbijPUc25x6Q/DwH/x7eC2EzbfPskHuQqfx9vM/1hoZdcg9snWGley/v6X/KsM+xU+5BhoX+/byH/Nwq3bvlHmTn/p7eE5kV+nfMPdCVyqnQv7P3KPRn5P6uuQc6J/m7e5/V/Rw75z6Qj/wDvM+oz7F77gO53M9xiPfZtHmOyD3IQ/5B3mfS5zgm9yCHLtdh3gsxyORvaDgq9yD9Ns+B3mfQ5jku9yD1Qv+h3pP7aVe6j8w9SPt2loO9D5XudOUfm3uQ8mO7DvcebZ5kC/1H5x6kK/8E7+lDUi30H597YBOVf4r39DFpXtJ+Ru5Bmg9uOsn7RN0/J/eBBOWf5j2RXp/jrNwHkruf40zv07uf48Tcg8TaPOd6n9qTi07NPUiqzXO292lVuk/OPUhI/vnehzZPIrXO03MPknlsVwzv0yn0R8g9SER+HO/R50jhyUVRcg9MnYD8WN5DfvxCf6TcgwTaPPG8T6HSHS33IPpTy2J6HyrdUd2PmHsQ+Yr+uN7Hlh819yDqg5tiex/kr6h0m8EMlpa02EDk3INP5NvfIrta0uHSSXyf+Xrie0+8LfTrtq7co80WM+Vm4xWB0XMfeNfmoeEhpfKtu5seDKoyW0uEPyOf/p8or4lQ6P/7DzlN8sMW6JvlW6wbufk8SStVjYCWUV7zh0vpq4efP76qWT1QfvoGc+23Hy2c97UnaBHjRYuw5j3pD2+fvryapQc8JojaNe32maImLBaxmD7cOhrSf2Jp40z4ZffXdeR+ps98+JIuKK/b246/G2kxSA7y9SjV4yGvk6rDSdKUgsIx5pfH2mICZOmvn+PGRZ5o1/ZOWNdOBzNmaKdo0qnrbdP2fBlkJUzLYA/+nE62bhJvBobDf7mmqfFtlew17YfRTxfyW2+Ey/qJjWugmW74VpK+oi0wMpjD3NPQsDeKpq8jCg4+tesaj6XD00q0kqMZIbxKoeZyGravaJ7TtW3VeJR5wibgSLA9bAKOONrrDTzO258xOssr9g/Yvu0Yn7YuRduLi4uLiw8R4h/j66RzqljiaAAAAABJRU5ErkJggg==" alt="" />

Solution for the question - the given graph shows the variation of velocity with displacement. whichone of the graph given below correctly represents the variat