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  4. Rain is falling with speed 12√2 m/ s at an angle of 45° with vertical line. A man in a glider going at a speed o f u at angle of 37° with respect to ground. Find the speed in (m/s) o f glider so that rain appears to him falling vertically Consider motion o f glider and rain drops in same vertical plane <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/12821a4840f47caa10e4e36c4bdf4998-.png />

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Q. Rain is falling with speed $12\sqrt{2} \,m/ s$ at an angle of $45^{\circ}$ with vertical line. A man in a glider going at a speed o f $u$ at angle of $37^{\circ}$ with respect to ground. Find the speed in (m/s) o f glider so that rain appears to him falling vertically Consider motion o f glider and rain drops in same vertical plane
image

Motion in a Plane

Solution:

Horizontal component o f both should be same
$u\,cos\,\theta=v_{\text{rain}}\,cos\,45^{\circ}$
$\Rightarrow u\,cos\,37^{\circ} = 12\sqrt{2} \times\frac{1}{\sqrt{2}}$
$\Rightarrow u=15\,m/s$