A particle is having uniform acceleration. If its displacement from t to (t + 1) second is 120 m and change in velocity is 50 m/s. Find its displacement (in m) in (t + 2) second.

<p><span lang="EN-IN">D</span><span lang="EN-IN">v = a (t + 1 – t)</span></p><p><span lang="EN-IN">a = 50 m/s²</span></p><p><span lang="EN-IN"><span contenteditable="false"> <math> <mrow> <mi>s</mi> <mo>=</mo> <mi>u</mi> <mo>+</mo> <mfrac> <mrow> <mi>a</mi> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> <mrow> <mo> (</mo> <mrow> <mn>2</mn> <mrow> <mo> (</mo> <mrow> <mi>t</mi> <mo>+</mo> <mn>1</mn> </mrow> <mo>)</mo> </mrow> <mo>−</mo> <mn>1</mn> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span>&nbsp;</span></p><p><span lang="EN-IN"><span contenteditable="false"> <math> <mrow> <mn>1</mn> <mn>2</mn> <mn>0</mn> <mo>=</mo> <mi>u</mi> <mo>+</mo> <mfrac> <mrow> <mn>5</mn> <mn>0</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> <mrow> <mo> (</mo> <mrow> <mn>2</mn> <mi>t</mi> <mo>+</mo> <mn>1</mn> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span>&nbsp;</span></p><p><span lang="EN-IN">u = 120 – 25 (2t +1)</span></p><p><span lang="EN-IN">In (t + 2)^th second</span></p><p><span lang="EN-IN"><span contenteditable="false"> <math> <mrow> <mi>s</mi> <mo>'</mo> <mo>=</mo> <mi>u</mi> <mo>+</mo> <mfrac> <mrow> <mi>a</mi> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> <mrow> <mo> (</mo> <mrow> <mn>2</mn> <mrow> <mo> (</mo> <mrow> <mi>t</mi> <mo>+</mo> <mn>2</mn> </mrow> <mo>)</mo> </mrow> <mo>−</mo> <mn>1</mn> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span><br>&lt;!- [endif]-&gt;&lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1820402908"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;</span></p><p><span lang="EN-IN">= u + 25 (2t + 3)</span></p><p><span lang="EN-IN">= 120 – 25 (2t) – 25 + 25 (2t) + 75</span></p><p><span lang="EN-IN">S' = 170 m</span></p>

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