Chapter 6.6, Problem 95E

(a)

To determine

To calculate:A set of parametric equations for the path of a football which a quarterback releases as a pass at an angle of $35°$ with the horizontal and at a height of $7\text{ feet}$ above the playing field. The receiver catches the football at a height of $4\text{ feet}$, $30\text{ yards}$ directly downfield.

(b)

To determine

To calculate:The speed of the football when it is released, which a quarterback releases as a pass at an angle of $35°$ with the horizontal and at a height of $7\text{ feet}$ above the playing field. The receiver catches the football at a height of $4\text{ feet}$, $30\text{ yards}$ directly downfield.

(c)

To determine

To graph:The graph of the football’s path, and its approximate maximum height, when a quarterback releases a pass at an angle of $35°$ with the horizontal at a height of $7\text{ feet}$ above the playing field. The receiver catches the football at a height of $4\text{ feet}$, $30\text{ yards}$ directly downfield.

(d)

To determine

To calculate:The time the receiver has to position himself after the quarterback releases the football pass at an angle of $35°$ with the horizontal at a height of $7\text{ feet}$ above the playing field. The receiver catches the football at a height of $4\text{ feet}$, $30\text{ yards}$ directly downfield.

The time in which the receiver has to position himself after the quarterback releases the football is approximately $2.03\mathrm{seconds}$.