Heres an excellent question frokm my MX1 trial
A particle is projected with velocity v at an angle <META content=Word.Document name=ProgId><META content="Microsoft Word 11" name=Generator><META content="Microsoft Word 11" name=Originator><LINK href="file:///C:%5CUsers%5CAndrew%5CAppData%5CLocal%5CTemp%5Cmsohtml1%5C01%5Cclip_filelist.xml" rel=File-List><STYLE> <!-- /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";} @page Section1 {size:595.3pt 841.9pt; margin:72.0pt 90.0pt 72.0pt 90.0pt; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} --> </STYLE>θ. Gravity g ms^-2
(i) Show that the range of the projectile is given by R = v^2 sin2<META content=Word.Document name=ProgId><META content="Microsoft Word 11" name=Generator><META content="Microsoft Word 11" name=Originator><LINK href="file:///C:%5CUsers%5CAndrew%5CAppData%5CLocal%5CTemp%5Cmsohtml1%5C01%5Cclip_filelist.xml" rel=File-List><STYLE> <!-- /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";} @page Section1 {size:595.3pt 841.9pt; margin:72.0pt 90.0pt 72.0pt 90.0pt; mso-header-margin:35.4pt; mso-footer-margin:35.4pt; mso-paper-source:0;} div.Section1 {page:Section1;} --> </STYLE>θ/g
(ii)A lawn on horizontal ground is rectangular in shape with lenght 50m and breadth 20m. A garden sprinkler is located at one corner, S of the lawn. It rotates horizontally and delivers water at a speed of 20 m/s at an angle of elevation between 15 degrees and 45 degrees above the horizontal. Taking g = 10, find the area of the garden that ca be watered by the sprinkler, giving your answer in simplest exact form.