A stomp rocket is a toy consisting of a hose connected to a blast pad (i. e., an air bladder) at one end and to a short pipe mounted on a tripod at the other end. A rocket with a hollow body is mounted onto the pipe and is propelled into the air by stomping on the blast pad. Some manufacturers claim that one can shoot a rocket over 200 ft in the air. Neglecting air resistance, determine the rocket’s minimum initial speed such that it reaches a maximum fligh height of 200 ft.