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

question 31

Short Answer

The path of flight (trajectory) of a football thrown by a quarterback is described by the following function: $\quad y ( x ) = - 0.002 x ^ { 2 } + 0.7 x + 7$
where $y =$ vertical position of football relative to the ground $( \mathrm { m } )$
$$x = \text { horizontal position of football relative to launch position (m) }$$
How high above the ground is the football as it leaves the quarterback's hand?
a. $0.002 \mathrm {~m}$
b. $0.7 \mathrm {~m}$
c. $7 \mathrm {~m}$
d. $7.7 \mathrm {~m}$

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Definitions:

Demographic Bottleneck

A sharp reduction in the size of a population due to environmental events or human activities, leading to a decrease in genetic diversity and potential survival challenges for the population.

Genetic Drift

A mechanism of evolution that involves random fluctuations in the frequencies of alleles (variations of a gene) in a population, particularly in small populations.

Inbreeding Depression

A decrease in biological fitness and health in a population due to breeding between closely related individuals.

Survivorship Curves

Graphical representations that show the number of individuals of a species or a population that survive at each age.