Class 11th Physics Physics Motion in Plane Projectile Motion

A projectile travels at θ below horizontal 1 sec after projection as shown. What is the value of θ?

Option 1 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mi>t</mi> <mi>a</mi> <msup> <mrow> <mi>n</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mrow> <mo>(</mo> <mrow> <mn>2</mn> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span></p>

Option 2 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mi>t</mi> <mi>a</mi> <msup> <mrow> <mi>n</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mrow> <mo>(</mo> <mrow> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span></p>

Option 3 - <p>37°</p>

Option 4 - <p>53°</p>

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Answered by

Vishal Baghel | Contributor-Level 10

4 months ago

Correct Option - 2

Detailed Solution:

$t a n θ = \frac{v_{y}}{v_{x}} = \frac{u_{y} - g t}{u_{x}}$

$\Rightarrow t a n θ = | \frac{8 - 10}{4} | = | - \frac{1}{2} |$

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