Respuesta :

The golf ball follows a parabolic path, and it is modeled by a quadratic function

The maximum height of the golf ball is 99.47 feet

How to determine the maximum height of the ball?

The given parameters are:

  • Angle of elevation = 30 degrees
  • Initial velocity, u = 160 ft/sec

The maximum height of the ball is calculated using:

[tex]H_{max} = \frac{u^2\sin^2(\theta)}{2g}[/tex]

Where:

g = 32.17 ft/sec^2

So, we have:

[tex]H_{max} = \frac{160^2 * \sin^2(30)}{2 * 32.17}[/tex]

Evaluate

[tex]H_{max} = 99.47[/tex]

Hence, the maximum height of the golf ball is 99.47 feet

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