To solve this problem, we need to understand the motion of a spherical ball in a viscous liquid.$\\$When the ball is dropped, it initially accelerates due to gravity. However, as it moves through the liquid,$\\$it experiences a viscous drag force that increases with speed. Eventually, the ball reaches terminal velocity,$\\$where the gravitational force is balanced by the drag force, and the acceleration becomes zero.$\\$The speed-time graph for this motion should show:$\\$• An initial increase in speed as the ball accelerates.$\\$• A gradual leveling off as the ball approaches terminal velocity.$\\$Analyzing the given graph options:$\\$• Curve A: Shows a linear increase, which is not correct as it doesn't level off.$\\$• Curve B: Shows an initial increase followed by a leveling off, which matches the expected behavior.$\\$• Curve C: Shows a decrease in speed, which is incorrect.$\\$• Curve D: Shows a constant speed, which is incorrect for the initial phase.$\\$Therefore, the correct graph is represented by Curve B, which corresponds to Option 2.