On the day after graduation, you decide to toss a burning match into the top of a cylindrical wastebasket (diameter D and height 2 D) full of old homework papers. To make this event more sporting, the bottom of the wastebasket is at the same height as the point where the match leaves your hand, and the near side of the wastebasket is a horizontal distance 6 D from the point where the match leaves your hand. You launch the match at a 45.0∘ angle above the horizontal. Find the minimum value of the launch speed that will make the match enter the top of the wastebasket. You can ignore air resistance and give your answers in terms of g and D. Find the maximum value of the launch speed that will make the match enter the top of the wastebasket. Give your answers in terms of g and D.