At t = 0 a projectile is fired from a point O | vedclass

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Question

$	heta=53^{\circ}$

$u=50 \mathrm{m} / \mathrm{s}$

$y=75 \mathrm{m}$

$y=x 	an 	heta-\frac{g x^{2}}{2 u^{2} \cos ^{2} 	heta}$

$75=x 	an

Vedclass · Accepted Answer

$60$

Vedclass · Answer

$	heta=53^{\circ}$

$u=50 \mathrm{m} / \mathrm{s}$

$y=75 \mathrm{m}$

$y=x 	an 	heta-\frac{g x^{2}}{2 u^{2} \cos ^{2} 	heta}$

$75=x 	an 53^{\circ}-\frac{10 x^{2}}{2 	imes 50 	imes 50 	imes \cos ^{2} 53^{\circ}}$

$75=\frac{4 x}{3}-\frac{10 x^{2} 	imes 25}{2 	imes 2500 	imes 9}$

$\Rightarrow \quad 75=\frac{4 x}{3}-\frac{x^{2}}{180}$

$75 	imes 180=(4 	imes 60) x-x^{2}$

$x^{2}-240 x+13500=0$

$x=\frac{240 \pm \sqrt{57600-4(1)(13500)}}{2(1)}$

$x=\frac{240 \pm \sqrt{57600-54000}}{2}$

$x=\frac{240 \pm \sqrt{3600}}{2}$

$x=\frac{240 \pm 60}{2}$

$x_{1}=150 \mathrm{m}$

$x_{2}=90 \mathrm{m}$

$\Delta x=60 \mathrm{m}$

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