Initial displacement = dboost = v0t + 1/2at^2 <span>hboost = dboost sin theta </span> <span>xboost = dboost cos theta </span> <span>vboost = v0 + at </span> <span>vxboost = vboost cos theta </span> <span>vyboost = vboost sin theta </span>
<span>To get the maximum altitude, use conservation of energy </span> <span>initial PE + vertical KE </span> <span>= mg (hboost) + 1/2 m vyboost^2 </span> <span>= final PE = mg (hfinal) </span>
<span>Lots of plugging and chugging to do now. </span>
<span>EDIT--the problem said acceleration was constant, so we don't have to worry about loss of mass during the boost. Realistic? No. But that's what the problem says. Once the thing is ballistic, it's a moot point anyway