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

question 2

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

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Definitions:

Installments

Payments that are made periodically towards a debt, allowing for the total amount to be paid off over time rather than all at once.

Financing Statement

A document filed by a creditor to give public notice of a security interest in property of the debtor, used in UCC filings.

Security Interest

A legal claim or lien on collateral that secures the performance of an obligation, typically the repayment of a debt.

Attachment

A legal process by which a court of law, at the request of a creditor, designates specific property owned by the debtor to be transferred to the creditor or sold for the benefit of the creditor.