Question

A plane drops cargo on a friendly village. The plane is traveling horizontally at a constant speed. The cargo takes 20 s to hit the ground and lands 4,800 m away from where it was originally dropped.

What was the plane’s altitude when it released the cargo?___m

Determine the speed of the plane when it dropped the cargo____m/s

Answer 1

(a) The plane’s altitude when it released the cargo is 1,960 m.

(b) The speed of the plane when it dropped the cargo is 240 m/s.

The given parameters:

• time of motion of the cargo, t = 20 s
• horizontal distance of the cargo, X = 4800 m

The plane’s altitude when it released the cargo is calculated as follows;

$h = v_0_y t + \frac{1}{2} gt^2\\\\h = 0(20) \ + \ \frac{1}{2} (9.8)(20)^2\\\\h = 1,960 \ m$

The constant horizontal speed of plane when it dropped the cargo is calculated as follows;

$v_x =\frac{X}{t} \\\\v_x = \frac{4800}{20} \\\\v_x =240 \ m/s$

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