Question

An airplane flying at a speed of 700km/h at a height of 900m drops a relief pacakage. Assume that the horizontal velocity of the relief package at this instant is 700 km/h. What is the range of the relief package?

Answer 1

Answer on Question #43407-Physics-Mechanics-Kinematics-Dynamics

An airplane flying at a speed of 700 km/h at a height of 900 m drops a relief package. Assume that the horizontal velocity of the relief package at this instant is 700 km/h. What is the range of the relief package?

Solution

The time of flight of a relief package is

$$t = \sqrt {\frac {2 h}{g}}.$$

The range of the relief package is

$$R = v _ {\mathrm {h o r i z o n t a l}} t = v _ {\mathrm {h o r i z o n t a l}} \sqrt {\frac {2 h}{g}} = \frac {7 0 0 m}{3 . 6 s} \sqrt {\frac {2 \cdot 9 0 0 m}{9 . 8 \frac {m}{s ^ {2}}}} = 2 6 3 5 m.$$

Answer: 2635 m.

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