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if a body is moving with velocity 20 m/ s and an acceleration of 2m / s² is acting on it find velocity after 10 sec and distance travelled by it |
| Answer» <html><body><p><strong><u><a href="https://interviewquestions.tuteehub.com/tag/given-473447" style="font-weight:bold;" target="_blank" title="Click to know more about GIVEN">GIVEN</a></u></strong><strong> </strong><strong>:</strong><strong>–</strong></p><p></p><p><strong>•</strong><strong> </strong>Initial velocity (u) = <a href="https://interviewquestions.tuteehub.com/tag/20-287209" style="font-weight:bold;" target="_blank" title="Click to know more about 20">20</a> m/s</p><p></p><p>• Acceleration (a) = 2 m/s² </p><p></p><p><strong><u>TO</u></strong><strong><u> </u></strong><strong><u> </u></strong><strong><u>FIND</u></strong><strong> </strong><strong>:</strong><strong>–</strong></p><p></p><p>• Velocity after 10 sec (v) = ?</p><p></p><p>• Distance travelled in 10 sec (D) = ?</p><p></p><p><strong><u>SOLUTION</u></strong><strong> </strong><strong>:</strong><strong>–</strong></p><p></p><p>• We <a href="https://interviewquestions.tuteehub.com/tag/know-534065" style="font-weight:bold;" target="_blank" title="Click to know more about KNOW">KNOW</a> that –</p><p></p><p><img align="absmiddle" alt="\\ \dashrightarrow \large { \boxed{ \bold{a = \dfrac{v - u}{t} }}}\\" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cdashrightarrow%20%5Clarge%20%20%7B%20%5Cboxed%7B%20%5Cbold%7Ba%20%3D%20%20%5Cdfrac%7Bv%20-%20u%7D%7Bt%7D%20%7D%7D%7D%5C%5C%20" title="\\ \dashrightarrow \large { \boxed{ \bold{a = \dfrac{v - u}{t} }}}\\"/></p><p></p><p>• Put the values –</p><p></p><p><img align="absmiddle" alt="\\ \implies { \bold{2 = \dfrac{v - 20}{10}}}\\" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cimplies%20%20%7B%20%5Cbold%7B2%20%3D%20%20%5Cdfrac%7Bv%20-%2020%7D%7B10%7D%7D%7D%5C%5C%20" title="\\ \implies { \bold{2 = \dfrac{v - 20}{10}}}\\"/></p><p></p><p><img align="absmiddle" alt="\\ \implies { \bold{2 \times 10= v - 20}}\\" class="latex-formula" id="TexFormula3" src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cimplies%20%20%7B%20%5Cbold%7B2%20%5Ctimes%2010%3D%20%20v%20-%2020%7D%7D%5C%5C%20" title="\\ \implies { \bold{2 \times 10= v - 20}}\\"/></p><p></p><p><img align="absmiddle" alt="\\ \implies { \bold{20= v - 20}}\\" class="latex-formula" id="TexFormula4" src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cimplies%20%20%7B%20%5Cbold%7B20%3D%20%20v%20-%2020%7D%7D%5C%5C%20" title="\\ \implies { \bold{20= v - 20}}\\"/></p><p></p><p><img align="absmiddle" alt="\\ \implies { \bold{ v = 20 + 20}}\\" class="latex-formula" id="TexFormula5" src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cimplies%20%20%7B%20%5Cbold%7B%20v%20%20%3D%2020%20%2B%20%2020%7D%7D%5C%5C%20" title="\\ \implies { \bold{ v = 20 + 20}}\\"/></p><p></p><p><img align="absmiddle" alt="\\ \implies \large { \boxed { \bold{ v = 40 \: \dfrac{m}{s} }}}\\" class="latex-formula" id="TexFormula6" src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cimplies%20%5Clarge%20%7B%20%5Cboxed%20%7B%20%5Cbold%7B%20v%20%20%3D%2040%20%5C%3A%20%20%5Cdfrac%7Bm%7D%7Bs%7D%20%7D%7D%7D%5C%5C%20" title="\\ \implies \large { \boxed { \bold{ v = 40 \: \dfrac{m}{s} }}}\\"/></p><p></p><p>• Now <a href="https://interviewquestions.tuteehub.com/tag/let-11597" style="font-weight:bold;" target="_blank" title="Click to know more about LET">LET</a>'s find travelled distance –</p><p></p><p><img align="absmiddle" alt="\\ \dashrightarrow \large { \boxed{ \bold{ {v}^{2} - {u}^{2} = 2as}}}\\" class="latex-formula" id="TexFormula7" src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cdashrightarrow%20%5Clarge%20%20%7B%20%5Cboxed%7B%20%5Cbold%7B%20%7Bv%7D%5E%7B2%7D%20-%20%20%7Bu%7D%5E%7B2%7D%20%3D%202as%7D%7D%7D%5C%5C%20" title="\\ \dashrightarrow \large { \boxed{ \bold{ {v}^{2} - {u}^{2} = 2as}}}\\"/></p><p></p><p><img align="absmiddle" alt="\\ \implies { \bold{ {(40)}^{2} - {(20)}^{2} = 2(2)D}}\\" class="latex-formula" id="TexFormula8" src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cimplies%20%7B%20%5Cbold%7B%20%7B%2840%29%7D%5E%7B2%7D%20-%20%20%7B%2820%29%7D%5E%7B2%7D%20%3D%202%282%29D%7D%7D%5C%5C%20" title="\\ \implies { \bold{ {(40)}^{2} - {(20)}^{2} = 2(2)D}}\\"/></p><p></p><p><img align="absmiddle" alt="\\ \implies { \bold{1600 - 400 = 4D}}\\" class="latex-formula" id="TexFormula9" src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cimplies%20%7B%20%5Cbold%7B1600%20-%20400%20%3D%204D%7D%7D%5C%5C%20" title="\\ \implies { \bold{1600 - 400 = 4D}}\\"/></p><p></p><p><img align="absmiddle" alt="\\ \implies { \bold{1200 = 4D}}\\" class="latex-formula" id="TexFormula10" src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cimplies%20%7B%20%5Cbold%7B1200%20%3D%204D%7D%7D%5C%5C%20" title="\\ \implies { \bold{1200 = 4D}}\\"/></p><p></p><p><img align="absmiddle" alt="\\ \implies { \bold{D = \cancel \dfrac{1200}{4} }}\\" class="latex-formula" id="TexFormula11" src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cimplies%20%7B%20%5Cbold%7BD%20%3D%20%20%20%5Ccancel%20%5Cdfrac%7B1200%7D%7B4%7D%20%7D%7D%5C%5C%20" title="\\ \implies { \bold{D = \cancel \dfrac{1200}{4} }}\\"/></p><p></p><p><img align="absmiddle" alt="\\ \implies \large{ \boxed { \bold{D = 300 \: m}}}\\" class="latex-formula" id="TexFormula12" src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cimplies%20%5Clarge%7B%20%5Cboxed%20%7B%20%5Cbold%7BD%20%3D%20%20300%20%5C%3A%20m%7D%7D%7D%5C%5C%20" title="\\ \implies \large{ \boxed { \bold{D = 300 \: m}}}\\"/></p><p></p></body></html> | |