A basketball is ejected from a horizontal tube at the bottom of a large tank of

Question

A basketball is ejected from a horizontal tube at the bottom of a large tank of water. There is a constant buoyant force acting on the ball that causes the ball to float towards the surface. There is also a drag force acting on the ball due to the displaced water which is proportional to and opposite of the velocity. The tank is tall enough that the basketball reaches terminal velocity before reaching the surface. On the axes provided, graph both x- and y- components of position, velocity, and acceleration as functions of time during the fall. Assume that positive y is upwards with y = 0 at the bottom of the tank, and that the initial velocity of the ball is in the positive x-direction.

X vs t

Y vs t

Vx vs t

Vy vs t

Ax vs t

Ay vs t

Explanation / Answer

AX vs t

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