Range -- from Eric Weisstein's World of Physics

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Range

For a projectile launched with a velocity v at an angle to the horizonal of , the horizontal distance traveled is called the range, and is given by

(1)

where t is the time in motion. On a level plane where the projectile lands at the same altitude as it was launched, a derivative of the maximum height shows that it is reached after a time

(2)

where g is the gravitational acceleration. The range is then the distance traveled in time ( up and down),

(3)
(4)

Ballistics, Distance, Height, Trajectory




References

O'Hanian, H. C. "The Motion of Projectiles." §4.3 in Physics, Vol. 1. New York: W. W. Norton, pp. 71-76, 1985.



© 1996-2007 Eric W. Weisstein

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