Question

A relief food package is dropped from a airplane which is moving horizontal with a velocity of 30 m s${}^{-1}$ at a height h = 50 m. Find the (a) time of flight of the package, (b) location of the point of striking of the food package, (c) velocity of the package at the time of striking the ground, and (d) displacement of the food package.

Answer 1

$u{u}_x=30m{s}^{-1},u_y=0m{s}^{-1},andh=50m.$
$h=u_{y}t+\frac{1}{2}g{t}^2$
$\Rightarrow \frac{50\times 2}{10}=t^2\Rightarrow t=\sqrt{1}0s$
Distance (horizontally) covered in $t=\sqrt{1}0s$
$x=u_{x}t=30\sqrt{1}0m$
$v_x=u_x=30m{s}^{-1}$
$v_y=u_x+gt=10\sqrt{1}0m{s}^{-1}$
$v=\sqrt{9000+1000}=10\sqrt{1}9m{s}^{-1}$
Displacement = $\sqrt{h^2+x^2}=\sqrt{2500+9000}=10\sqrt{1}15m$