Q. 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
Motion in a Plane
Solution:
Repeated.
$\tan \theta+\tan \beta=\tan \theta$
$\frac{y}{d_{1}}+\frac{y}{d_{2}}=\tan 45^{\circ}$
$y=\left(\frac{d_{1} d_{2}}{d_{1}+d_{2}}\right)$
