A fighter jet is flying horizontally at a certain with a speed of 200ms^-1. When it passes directly overhead ad anti-aircraft gun, a bullet is fired from the gun, at an angle (θ)with the horizontal, to hit the jet. If the bullet speed is 400m/s, the value of (θ)will be _____________.

B →  fighter jet

              A →  anti-Air craft gun

              Draw velocity diagram of A w.r.t. B

              If A hits B

              Then Relative velocity perpendicular to the line joining A to B will be zero.

              That means 400 cos q = 200

           

...more

B →  fighter jet

              A →  anti-Air craft gun

              Draw velocity diagram of A w.r.t. B

              If A hits B

              Then Relative velocity perpendicular to the line joining A to B will be zero.

              That means 400 cos q = 200

                                            $\begin{array}{l}cos\theta =\frac{1}{2}\\ \theta =60°\end{array}$

 

 

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<p>B →&nbsp; fighter jet</p><p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; A →&nbsp; anti-Air craft gun</p><div><div><picture><source srcset="" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/1758014167phporqCOs.jpeg" alt="" width="204" height="255" loading="lazy"></picture></div></div><p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Draw velocity diagram of A w.r.t. B</p><p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; If A hits B</p><p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Then Relative velocity perpendicular to the line joining A to B will be zero.</p><p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; That means 400 cos q = 200</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<span contenteditable="false"> <math> <mtable columnalign="left"> <mtr> <mtd> <mrow> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mi>θ</mi> <mo>=</mo> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>θ</mi> <mo>=</mo> <mn>6</mn> <mn>0</mn> <mo>°</mo> </mrow> </mtd> </mtr> </mtable> </math> </span></p><p>&nbsp;</p><p>&nbsp;</p>

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