Journal of Advanced Mathematics <p style="text-align: justify;">Journal of Advanced Mathematics (JAM) is monthly journal dedicated to publish articles from field of applied and pure mathmathatical sciences.</p> ASD Publisher en-US Journal of Advanced Mathematics <p>Authors who publish with this journal agree to the following terms:</p> <ol type="a"> <li>Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a <a href="" target="_new">Creative Commons Attribution License</a> that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.</li> <li>Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.</li> <li>Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See <a href="" target="_new">The Effect of Open Access</a>).</li> </ol> Vertical motion of a balloon in air <p style="margin: 0px 0px 13.33px; line-height: normal;"><span style="margin: 0px; font-size: 14pt;">The equations of motion of a balloon ascending in air are formed taking into account exponential law of the air density and the air as viscous medium and are completely solved. The balloon rises, comes to rest and begins to float at a certain height. It is established that if certain conditions as regards the weight and size of the balloon are fulfilled, then it first executes a damped oscillatory motion about such a height as the mean position of rest with a small amplitude gradually diminishing, before coming to rest at that height. If these conditions are not satisfied, the balloon straight way rises to this height and thereafter begins to float. Two numerical examples are illustrated.</span></p> Soumen N. Maitra ##submission.copyrightStatement## 2018-06-12 2018-06-12 4 2 07 09