Question

Ball A is thrown straight down off the top of a tall building with an initial velocity of 20m/s. Ball b is thrown straight up from the top of the same building with initial velocity of 20 m/s. Which ball, if either, experiences the greater acceleration after leaving the throwers hand?
They both experience the same gravitational force, m g

their acceleration is therefore F/m = g
Period, no other force, no other acceleration.

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