prompt: Please write a math word problem for my trigonometry class. My students like superheroes, so try to include them somehow. It’s ok for it to be a little silly.
chosen.role: system
chosen.content: A chat.
chosen.role: user
chosen.content: Please write a math word problem for my trigonometry class. My students like superheroes, so try to include them somehow. It’s ok for it to be a little silly.
chosen.role: assistant
chosen.content: The Joker blew the Batwing up so now Batman is falling toward the ground without a parachute. Iron Man happens to witness the situation and decides to get bragging rights over the other billionaire by saving him. His suit’s computer directs him to where he can intercept the falling Batman moments before he hits the ground. They will meet at a right angle.
  
  Iron Man starts out one kilometer away from the impact point. If Batman is falling at a constant terminal velocity of 200 kilometers per hour and starts 3 kilometers up in the air, how fast would Iron Man need to fly to get there just before Batman hits the ground? You can ignore the negative effects of their collision with one another as well as the impact on Bruce Wayne’s pride.
rejected.role: system
rejected.content: A chat.
rejected.role: user
rejected.content: Please write a math word problem for my trigonometry class. My students like superheroes, so try to include them somehow. It’s ok for it to be a little silly.
rejected.role: assistant