A projectile is being launched from ground level with no air resistance. You want to avoid having it enter a temperature inversion layer in the atmosphere a height h above the ground.
What is the maximum launch speed you could give this projectile if you shot it straight up? Express your answer in terms of h and g.
Suppose the launcher available shoots projectiles at twice the maximum launch speed you found in part A. At what maximum angle above the horizontal should you launch the projectile?
How far (in terms of h) from the launcher does the projectile in part B land?