What are the differences between the plum pudding model, and the modern model

Rutherford's model did not completely reimagine Thomson's. Like Thomson, Rutherford still believed that atoms contained negatively charged electrons. Unlike the plum pudding model, where those atoms simply floated in "soup," Rutherford believed they orbited the central nucleus just as planets orbit the sun.

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here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be