Verified Solution • 2025–26 Session moderate QJEEM25Pha315: JEE Main 2025 Physics - Class 11 JEEM25Pha315 Solution: The velocity-time graph of an object moving along a straight… The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance covered by the object between t=0t = 0t=0 to t=4st = 4st=4s ? Multiple Choice Options A 11 m B 30 m C 13 m D 10 m Step-by-Step Verified Solution <mjx−containerclass="MathJaxCtxtMenuAttached0"jax="CHTML"display="true"tabindex="0"ctxtmenucounter="0"style="font−size:130.9<mjx-container class="MathJax CtxtMenu_Attached_0" jax="CHTML" display="true" tabindex="0" ctxtmenu_counter="0" style="font-size: 130.9%; position: relative;"><mjx-math display="true" class="MJX-TEX" aria-hidden="true" style="margin-left: 0px; margin-right: 0px;"><mjx-mtable style="min-width: 17.849em;"><mjx-table><mjx-itable><mjx-mtr><mjx-mtd style="text-align: right; padding-right: 0px; padding-bottom: 0.15em;"><mjx-tstrut></mjx-tstrut></mjx-mtd><mjx-mtd style="text-align: left; padding-left: 0px; padding-bottom: 0.15em;"><mjx-mtext class="mjx-n"><mjx-c class="mjx-cA0"></mjx-c><mjx-c class="mjx-c44"></mjx-c><mjx-c class="mjx-c69"></mjx-c><mjx-c class="mjx-c73"></mjx-c><mjx-c class="mjx-c74"></mjx-c><mjx-c class="mjx-c61"></mjx-c><mjx-c class="mjx-c6E"></mjx-c><mjx-c class="mjx-c63"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-cA0"></mjx-c></mjx-mtext><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-mtext class="mjx-n" space="4"><mjx-c class="mjx-cA0"></mjx-c><mjx-c class="mjx-c41"></mjx-c><mjx-c class="mjx-c72"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-c61"></mjx-c><mjx-c class="mjx-c20"></mjx-c><mjx-c class="mjx-c75"></mjx-c><mjx-c class="mjx-c6E"></mjx-c><mjx-c class="mjx-c64"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-c72"></mjx-c><mjx-c class="mjx-cA0"></mjx-c></mjx-mtext><mjx-texatom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c76"></mjx-c></mjx-mi></mjx-texatom><mjx-texatom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c76"></mjx-c></mjx-mi></mjx-texatom><mjx-texatom texclass="ORD"><mjx-mo class="mjx-n"><mjx-c class="mjx-c2F"></mjx-c></mjx-mo></mjx-texatom><mjx-texatom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c73"></mjx-c></mjx-mi></mjx-texatom><mjx-mtext class="mjx-n"><mjx-c class="mjx-cA0"></mjx-c><mjx-c class="mjx-c74"></mjx-c><mjx-c class="mjx-c20"></mjx-c><mjx-c class="mjx-c67"></mjx-c><mjx-c class="mjx-c72"></mjx-c><mjx-c class="mjx-c61"></mjx-c><mjx-c class="mjx-c70"></mjx-c><mjx-c class="mjx-c68"></mjx-c><mjx-c class="mjx-cA0"></mjx-c></mjx-mtext><mjx-tstrut></mjx-tstrut></mjx-mtd></mjx-mtr><mjx-mtr><mjx-mtd style="text-align: right; padding-right: 0px; padding-top: 0.15em;"><mjx-tstrut></mjx-tstrut></mjx-mtd><mjx-mtd style="text-align: left; padding-left: 0px; padding-top: 0.15em;"><mjx-mtext class="mjx-n"><mjx-c class="mjx-cA0"></mjx-c><mjx-c class="mjx-c44"></mjx-c><mjx-c class="mjx-c69"></mjx-c><mjx-c class="mjx-c73"></mjx-c><mjx-c class="mjx-c74"></mjx-c><mjx-c class="mjx-c61"></mjx-c><mjx-c class="mjx-c6E"></mjx-c><mjx-c class="mjx-c63"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-cA0"></mjx-c></mjx-mtext><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-mfrac space="4"><mjx-frac type="d"><mjx-num><mjx-nstrut type="d"></mjx-nstrut><mjx-mn class="mjx-n"><mjx-c class="mjx-c31"></mjx-c></mjx-mn></mjx-num><mjx-dbox><mjx-dtable><mjx-line type="d"></mjx-line><mjx-row><mjx-den><mjx-dstrut type="d"></mjx-dstrut><mjx-mn class="mjx-n"><mjx-c class="mjx-c32"></mjx-c></mjx-mn></mjx-den></mjx-row></mjx-dtable></mjx-dbox></mjx-frac></mjx-mfrac><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-cD7"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="3"><mjx-c class="mjx-c32"></mjx-c></mjx-mn><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-cD7"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="3"><mjx-c class="mjx-c31"></mjx-c><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-c2B"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="3"><mjx-c class="mjx-c32"></mjx-c></mjx-mn><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-cD7"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="3"><mjx-c class="mjx-c31"></mjx-c><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="4"><mjx-c class="mjx-c33"></mjx-c><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-texatom texclass="ORD"><mjx-mtext class="mjx-n"><mjx-c class="mjx-cA0"></mjx-c></mjx-mtext><mjx-mi class="mjx-n"><mjx-c class="mjx-c6D"></mjx-c></mjx-mi></mjx-texatom><mjx-tstrut></mjx-tstrut></mjx-mtd></mjx-mtr></mjx-itable></mjx-table></mjx-mtable></mjx-math><mjx-assistive-mml unselectable="on" display="block"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="CHTML" display="true" tabindex="0" ctxtmenu_counter="3" style="font-size: 129.3%; position: relative;"><mjx-math display="true" class="MJX-TEX" aria-hidden="true" style="margin-left: 0px; margin-right: 0px;"><mjx-mtable style="min-width: 17.849em;"><mjx-table><mjx-itable><mjx-mtr><mjx-mtd style="text-align: right; padding-right: 0px; padding-bottom: 0.15em;"><mjx-tstrut></mjx-tstrut></mjx-mtd><mjx-mtd style="text-align: left; padding-left: 0px; padding-bottom: 0.15em;"><mjx-mtext class="mjx-n"><mjx-c class="mjx-cA0"></mjx-c><mjx-c class="mjx-c44"></mjx-c><mjx-c class="mjx-c69"></mjx-c><mjx-c class="mjx-c73"></mjx-c><mjx-c class="mjx-c74"></mjx-c><mjx-c class="mjx-c61"></mjx-c><mjx-c class="mjx-c6E"></mjx-c><mjx-c class="mjx-c63"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-cA0"></mjx-c></mjx-mtext><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-mtext class="mjx-n" space="4"><mjx-c class="mjx-cA0"></mjx-c><mjx-c class="mjx-c41"></mjx-c><mjx-c class="mjx-c72"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-c61"></mjx-c><mjx-c class="mjx-c20"></mjx-c><mjx-c class="mjx-c75"></mjx-c><mjx-c class="mjx-c6E"></mjx-c><mjx-c class="mjx-c64"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-c72"></mjx-c><mjx-c class="mjx-cA0"></mjx-c></mjx-mtext><mjx-texatom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c76"></mjx-c></mjx-mi></mjx-texatom><mjx-texatom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c76"></mjx-c></mjx-mi></mjx-texatom><mjx-texatom texclass="ORD"><mjx-mo class="mjx-n"><mjx-c class="mjx-c2F"></mjx-c></mjx-mo></mjx-texatom><mjx-texatom texclass="ORD"><mjx-mi class="mjx-n"><mjx-c class="mjx-c73"></mjx-c></mjx-mi></mjx-texatom><mjx-mtext class="mjx-n"><mjx-c class="mjx-cA0"></mjx-c><mjx-c class="mjx-c74"></mjx-c><mjx-c class="mjx-c20"></mjx-c><mjx-c class="mjx-c67"></mjx-c><mjx-c class="mjx-c72"></mjx-c><mjx-c class="mjx-c61"></mjx-c><mjx-c class="mjx-c70"></mjx-c><mjx-c class="mjx-c68"></mjx-c><mjx-c class="mjx-cA0"></mjx-c></mjx-mtext><mjx-tstrut></mjx-tstrut></mjx-mtd></mjx-mtr><mjx-mtr><mjx-mtd style="text-align: right; padding-right: 0px; padding-top: 0.15em;"><mjx-tstrut></mjx-tstrut></mjx-mtd><mjx-mtd style="text-align: left; padding-left: 0px; padding-top: 0.15em;"><mjx-mtext class="mjx-n"><mjx-c class="mjx-cA0"></mjx-c><mjx-c class="mjx-c44"></mjx-c><mjx-c class="mjx-c69"></mjx-c><mjx-c class="mjx-c73"></mjx-c><mjx-c class="mjx-c74"></mjx-c><mjx-c class="mjx-c61"></mjx-c><mjx-c class="mjx-c6E"></mjx-c><mjx-c class="mjx-c63"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-cA0"></mjx-c></mjx-mtext><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-mfrac space="4"><mjx-frac type="d"><mjx-num><mjx-nstrut type="d"></mjx-nstrut><mjx-mn class="mjx-n"><mjx-c class="mjx-c31"></mjx-c></mjx-mn></mjx-num><mjx-dbox><mjx-dtable><mjx-line type="d"></mjx-line><mjx-row><mjx-den><mjx-dstrut type="d"></mjx-dstrut><mjx-mn class="mjx-n"><mjx-c class="mjx-c32"></mjx-c></mjx-mn></mjx-den></mjx-row></mjx-dtable></mjx-dbox></mjx-frac></mjx-mfrac><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-cD7"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="3"><mjx-c class="mjx-c32"></mjx-c></mjx-mn><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-cD7"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="3"><mjx-c class="mjx-c31"></mjx-c><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-c2B"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="3"><mjx-c class="mjx-c32"></mjx-c></mjx-mn><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-cD7"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="3"><mjx-c class="mjx-c31"></mjx-c><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="4"><mjx-c class="mjx-c33"></mjx-c><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-texatom texclass="ORD"><mjx-mtext class="mjx-n"><mjx-c class="mjx-cA0"></mjx-c></mjx-mtext><mjx-mi class="mjx-n"><mjx-c class="mjx-c6D"></mjx-c></mjx-mi></mjx-texatom><mjx-tstrut></mjx-tstrut></mjx-mtd></mjx-mtr></mjx-itable></mjx-table></mjx-mtable></mjx-math><mjx-assistive-mml unselectable="on" display="block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mtable displaystyle="true" columnalign="right left" columnspacing="0em" rowspacing="3pt"><mtr><mtd></mtd><mtd><mtext> Distance </mtext><mo>=</mo><mtext> Area under </mtext><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">v</mi></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">v</mi></mrow><mrow data-mjx-texclass="ORD"><mo>/</mo></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">s</mi></mrow><mtext> t graph </mtext></mtd></mtr><mtr><mtd></mtd><mtd><mtext> Distance </mtext><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>×</mo><mn>2</mn><mo>×</mo><mn>10</mn><mo>+</mo><mn>2</mn><mo>×</mo><mn>10</mn><mo>=</mo><mn>30</mn><mrow data-mjx-texclass="ORD"><mtext> </mtext><mi mathvariant="normal">m</mi></mrow></mtd></mtr></mtable></math></mjx-assistive-mml></mjx-container></mjx-assistive-mml></mjx-container><mjx−containerclass="MathJaxCtxtMenuAttached0"jax="CHTML"display="true"tabindex="0"ctxtmenucounter="0"style="font−size:130.9 Related Learning Resources & Exam Preparation JEE Main PYQ Question Bank Browse year-wise authentic previous years' questions with solutions Authentic CBT Mock Tests Simulate official exam environment with live timer and percentile scoring
