Problem 3.10 A military helicopter on a training mission is flying horizontally

Question

Problem 3.10
A military helicopter on a training mission is flying horizontally at a speed of 60.0 m/s and accidentally drops a bomb (fortunately not armed) at an elevation of 300 m. You can ignore air resistance.

A) How much time is required for the bomb to reach the earth?
B) How far does it travel horizontally while falling?
C) Find the horizontal component of its velocity just before it strikes the earth.
D) Find the vertical component of its velocity just before it strikes the earth

Please show work so I can follow, Thanks!

Explanation / Answer

a) d = 1/2(a x t^2); rewrite to solve for t: t = sqrt(2 x d / a) = sqrt( 2 x 300 / 9.8) = 7.82 seconds b) horiz distance = v x t = 60.0 x 7.82 = 469 meters c) bombs horizontal component of velocity doesn't change, neglecting air resistance = 60.0 m/s. d) the helicopter is directly over the bomb if no air resistance.

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