Turito Academy

Test Prep

Global form fields

Area under acceleration-time graph gives the change in velocity. Hence,<br /><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOQAAAAjCAYAAACEuqaBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAA/9JREFUeNrtnEFkHFEYx8eKVbFKRFUOESoiqqpURfRQJSKiqpaqqBx6ySGnqhJRlUNvPUTlUCIqIqrEiqqqUlURVSEioipCRQ5VUSKiakVIvyf/badjZjI7O/Pem+7/x5+dty/ZNzPf9973f7OJ49QPHaKHolWHEGKcWdGQ6JCXghB7YEISwoQkhDAhCWFCEkKYkIQwIQmJBR/DMSGJRfAxHBOSMB55AQhhPAacuFc2+YWToqeiJWgSbaY9jA6vcxiiOP1sirHjxscFwlK/8F503XV8DW2mPYwOr3OYcD+ukKSmi39TNOHT/kQ0YElAMCE1nntR9Dxg1u5nHjkPoGrfixpQJVGvT/tVvGdiTP9jQo6JRkSnMQFui767YrxJNC7aEe2JRn2u65boAGMZSevc2308whV4GRvrcRO+wS/Iqwn8sIBSAZD3ac8jaEyMKU6/uPdMV0LOISmXUXk0iNpEm6IW0YLoFtpbRWUkb+W6TgXcp1T2NH6Jcq7jT6IeLo6BwV5t4IcF1EHIz+wbGpPuFXIfq9Ib0T1RoYZ+QWyg6mvytH9Dsvm1t+D1R935oBLwPF73YbbIcl0eR1GT8l2MwI+bkGVDYzLh39TKdNE52tVdF3XW2M9NDotOY5Xtbp+/4vy78ZYqM/hQB+VrdwaSytQqmXTwbweUQieOKVltS8gk71lvxEUhar8u0Yca29VquYj2QtqBNix6LLqBm0v0lYclVCV+wVaqg5K1luogaj/lGacTaFeT5JpoMO2TVztN86LPogvMPa0bKEV4GC/TTvhjD9s2dZLknOhrgv3UrupQAu2KZ6LbaV+ARsw0r0L6rGMgKzDXw9iFUkb5h+iOq28bjHfFhBfRvujyqqpOf4u+WUvGOAkQFtSqDLoLf5TH71wwPCZdCTkPi5SD+pBkxZj9gj6jP4H2S6IvomYdgbeLGSfIFKvNh2WYaJVUW/CeHTjeQV+1W7UJT5pD4lYefKtvoLzA6/GIFzPrRPFSTZh5y9hMmEzZp1TzSCJt767iZAPxpWJoDoEft58fOyg347Tv4rwPMHF22hBUXZiNmkOOKyb4PvxohTFPzb2K1WBKw7gvw4ftYbVe1VFuEJI2XpMbdlzyLPfeTYsJlL95DeNewNgqq81Z5+iZ0gBvKckyXpMbdqxK0l5XqfvT+fuXCz14X9Xhpwydi/Ksa7ylJMt4TW7YsXp0MovXg6jBFa1YsQrwlY8Mnk+Zt5RkGa/5Pe5YrYSj8HBTSEC1w9qB9/PwoAUD59KNspWQuqQBsgE1aSxhoiCEGEQ9Wnjp+P+pEyFEI2eQjO28FISYpRM+tpGXghCzqK/2zVnkYQmpa147lnzViRBi/78OJOQPvwHmY4a41wbZPAAAAVV0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+djwvbWk+PG1yb3c+PG1pPm08L21pPjxtaT5hPC9taT48bWk+eDwvbWk+PC9tcm93PjwvbXN1Yj48bW8+PTwvbW8+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48bW8+JiN4RDc7PC9tbz48bW4+MTA8L21uPjxtbz4mI3hENzs8L21vPjxtbj4xMTwvbW4+PG1vPj08L21vPjxtbj41NTwvbW4+PG1pPiYjeEEwOzwvbWk+PG1zdXA+PG1yb3c+PG1pPm08L21pPjxtaT5zPC9taT48L21yb3c+PG1yb3c+PG1vPi08L21vPjxtbj4xPC9tbj48L21yb3c+PC9tc3VwPjwvbWF0aD4DCiopAAAAAElFTkSuQmCC" class="Wirisformula" alt="v subscript m a x end subscript equals fraction numerator 1 over denominator 2 end fraction cross times 10 cross times 11 equals 55 blank m s to the power of negative 1 end exponent" width="228" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»v«/mi»«/mrow»«mrow»«mi»m«/mi»«mi»a«/mi»«mi»x«/mi»«/mrow»«/msub»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mo»×«/mo»«mn»10«/mn»«mo»×«/mo»«mn»11«/mn»«mo»=«/mo»«mn»55«/mn»«mi» «/mi»«msup»«mrow»«mi»m«/mi»«mi»s«/mi»«/mrow»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/math»'/><br />Therefore, the correct option is [b].

A particle starts from rest. Its acceleration <img src="data:image/png;base64,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" class="Wirisformula" alt="open parentheses a close parentheses blank v e r s u s" width="75" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfenced separators=¨|¨»«mrow»«mi»a«/mi»«/mrow»«/mfenced»«mi» «/mi»«mi»v«/mi»«mi»e«/mi»«mi»r«/mi»«mi»s«/mi»«mi»u«/mi»«mi»s«/mi»«/math»'/> time <img src="data:image/png;base64,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" class="Wirisformula" alt="open parentheses t close parentheses" width="17" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfenced separators=¨|¨»«mrow»«mi»t«/mi»«/mrow»«/mfenced»«/math»'/> is as shown in the figure. The maximum speed of the particle will be<br /><img src="data:image/png;base64,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" alt="" />

Solution for the question - a particle starts from rest. its acceleration (a) versus time (t) is asshown in the figure. the maximum speed of the particle will b