Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-27T12:06:54.663Z Has data issue: false hasContentIssue false
  • English
  • Français

Maximum range problems in a resisting medium

Published online by Cambridge University Press:  22 September 2016

R. V. Murphy
R. V. Murphy*
Affiliation:
Ampleforth College, York
Get access Rights & Permissions [Opens in a new window]

Extract

The theory of projectiles moving under gravity is well known. The parabolic trajectories can be calculated and their envelope, as the direction but not the magnitude (u) of the initial velocity is varied, is the curve of safety, or bounding parabola. Where a given trajectory meets the envelope, the particle is moving at right-angles to its initial direction. In particular, the maximum range on a horizontal plane is u2/g and is attained by projection at 45° above the horizontal.

Type
Research Article
Information
The Mathematical Gazette , Volume 63 , Issue 423 , March 1979 , pp. 10 - 16
Copyright
Copyright © Mathematical Association 1979

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Quadling, D. A. and Ramsay, A. R. D., Elementary mechanics (2nd edition), Volume 2. Bell (1971).Google Scholar