The Path of Flight (Trajectory) of a Football Thrown by a Quarterback

question 29

Multiple Choice

The path of flight (trajectory) of a football thrown by a quarterback is described by the following function: $$y ( x ) = - \left( \frac { g } { 2 v _ { 0 } ^ { 2 } \cos ^ { 2 } \theta } \right) x ^ { 2 } + ( \tan \theta ) x + y _ { 0 }$$ where $y =$ vertical position of football relative to the ground
$y _ { 0 } =$ vertical launch position of football relative to the ground
$x =$ horizontal position of football relative to launch position
$g =$ magnitude of gravitational acceleration
$v _ { 0 } =$ launch speed
$\theta =$ launch angle relative to horizontal Which type of mathematical model is used here to describe the football's trajectory?

• A)Linear model
• B)Nonlinear model
• C)Exponential model
• D)Trigonometric model

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