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Bombing as a Mathematical Problem

Until it is released, a bomb travels through the air with the same forward velocity as the airplane, and this velocity relative to the air is called true air speed. The instant the bomb is released, four factors act on it: 1) true air speed; 2) gravity; 3) air resistance; and 4) wind. Calculating their combined effect on a bomb can be a rather complex problem, which increases in difficulty with altitude.

Gravity pulls the bomb downward toward the earth and away from the airplane at a continually increasing speed while the true air speed drives the bomb forward. The airplane continues at the same true air speed, but the bomb immediately begins lagging behind as air resistance pushes against it. Air resistance varies according the size and shape of the bomb. Meanwhile, the airplane travels farther over the ground, and the distance between where the bomb actually hits and the location of the airplane is called the trail.

Accounting for the fourth force, wind multiplies the difficulty of determining a bomb's trajectory to a target. A tailwind causes the bomb to go farther, but a headwind shortens the distance. Furthermore, a crosswind forces the bomb to drift sideways and away from the target.

Click here to return to the Strategic Bombing Overview.


Mask Policy:
In accordance with the updated guidance released by the Center for Disease Control and Prevention (CDC), the Department of Defense (DoD) and Wright-Patterson Air Force Base, the National Museum of the U.S. Air Force will require all visitors to wear face masks indoors effective July 30, 2021 until further notice.

Visitors ages three and up will be required to wear masks while indoors at the museum. This policy applies to all visitors, staff and volunteers regardless of vaccination status. Visitors may wear their own masks or a free paper mask will be provided. Cloth masks will also be available for purchase in the Museum Store.
Additional information available here.

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