A ball is projected from ground at an angle 45^{circ} with horizontal from distance d₁ from foot o

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3-2.Motion in Plane

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A ball is projected from ground at an angle $45^{\circ}$ with horizontal from distance $d_1$ from the foot of a pole and just after touching the top of pole it the falls on ground at distance $d_2$ from pole on other side, the height of pole is ...........

A

$2 \sqrt{d_1 d_2}$

B

$\frac{d_1+d_2}{4}$

C

$\frac{2 d_1 d_2}{d_1+d_2}$

D

$\frac{d_1 d_2}{d_1+d_2}$

Solution

(d)

Repeated.

$\tan \alpha+\tan \beta=\tan \theta$

$\frac{y}{d_1}+\frac{y}{d_2}=\tan 45^{\circ}$

$y=\left(\frac{d_1 d_2}{d_1+d_2}\right)$

Standard 11

Physics

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