Your goal in laboratory is to launch a ball of mass m straight up so that it reaches exactly height h above the top of the launching tube. You and your lab partners will earn fewer points if the ball goes too high or too low. The launch tube uses compressed air to accelerate the ball over a distance d, and you have a table of data telling you how to set the air compressor to achieve a desired acceleration.
A) Find an expression for the acceleration that will earn you maximum points.
B) Evaluate your answer to part a to achieve a height of 2.5m using a 49cm -long launch tube.