Question #42587

a bomb is dropped from an airplane moving horizontally with a speed of 200km/h. if the air resistance is negligible, the bomb will reach the ground in 5sec when altitude of the plane is approximately?

Expert's answer

Answer on Question #42587, Physics, Mechanics | Kinematics | Dynamics

A bomb is dropped from an airplane moving horizontally with a speed of 200km/h200\mathrm{km/h}. If the air resistance is negligible, the bomb will reach the ground in 5sec when altitude of the plane is approximately?

Solution:

The speed of the plane does not affect the time to fall. The distance hh that it falls in time t (when there is no initial vertical velocity component) is


h=gt22h = \frac{g t^{2}}{2}

g=9.81 m/s2g = 9.81\ \mathrm{m/s^2} is acceleration.

Thus,


h=9.81522=122.6123 mh = \frac{9.81 \cdot 5^{2}}{2} = 122.6 \approx 123\ \mathrm{m}


Answer. h=123 mh = 123\ \mathrm{m}.

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