Question

A basketball of mass m = 600g and diameter D = 24 cm is thrown from...

A basketball of mass m = 600g and diameter D = 24 cm is thrown from a height 0f 20m with an intial velocity Vo at and angle (theta) aove the horizontal. First, determine whether the air resistance is liner of quadratic. (Show proof).

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Answer #1

Quadratic

Proof:

The velocity vector of basketball is given by,

The stokes law for resistive force is given by,

Where, is radius of basketball and is coefficient of viscosity of air

Gravitational force acting on the basketball is given by,

where is acceleration due to gravity

Net force acting on the basketballis

........(1)

.........(2)

From expression (1),(2) we can say that resistive force is quadratic.

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