Question

A person standing on a tower of height H wishes to hit a target placed on incline plane by throwing projectile horizontally as shown in figure. If H = 11 m and L = 10 m, then speed required for projectile is m/s. $(g=10m/s^2)$

Answer 1

$V_0$ = $\frac{Lcos37}{T}$
H - Lsin37 = $\frac{1}{2}$g <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $T^2$
$\therefore$ T = <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\sqrt{\frac{2(H-Lsin37)}{g}}$
$\therefore$ T = 1
$\therefore$ $V_0$ = $\frac{10\left(\frac{4}{5}\right)}{1}$
$\therefore$ $V_0$ = 8 m/s