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.
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Explanation

`u_x = 30 m s^-1, u_y = 0 ms^-1, and h = 50 m`.
`h = u_y t + (1)/(2) g t^2`
`rArr (50 xx 2)/(10) = t^2 rArr t = sqrt(10) s`
Distance (horizontally) covered in `t = sqrt(10)) s`
`x = u_x t = 30 sqrt(10)) m`
`v_x = u_x = 30 m s^-1`
`v_y = u_y + "gt" = 10 sqrt(10)) m s^-1`
`v = sqrt(900 + 1000) = 10 sqrt(19) m s^-1`
Displacement `= sqrt(h^2 + x^2)) = sqrt(2500 + 9000)) = 10 sqrt(115)) m`.