Question

helicopter drops a supply package to soldiers in a Jungle. when the package was dropped the helicopter was hundred meters Above and flying at 25 metre per second at an angle of theta equals to 37 degrees above the horizontal the package lands at how many meters away from the initial point

Answer 1

Let the package lands at x distance (in m) away from the helicopter. Then in the horizontal motion, by second kinematic equation,

$\longrightarrow\sf{x=25\cos 36.9^{\circ}t}$

$\longrightarrow\sf{x=20t\quad\quad\dots (1)}$

But, in the vertical motion, by second kinematic equation,

$\longrightarrow\sf{100=-25\sin36.9^{\circ}t+\dfrac {1}{2}gt^2}$

$\longrightarrow\sf{t^2-3t-20=0}$

$\longrightarrow\sf{t=6.3\ s}$

Then (1) becomes,

$\longrightarrow\sf{\underline {\underline {x=126\ m}}}$