An NFL Punter at the 15 -Yard Line Kicks a Football

question 13

Essay

An NFL punter at the 15 -yard line kicks a football with initial velocity of 95 feet per second at an angle of elevation of $65^{\circ}$ Let t be the elapsed time since the football is kicked.
(a) Write parametric equations that represent the distance the football travels. Assume that x=0 represents the 15 -yard line.
(b) What interval represents the possible values for t ?
(c) What is the distance the ball travels in feet downfield (to the nearest whole number)?

---

Definitions:

Demand Curve

A graphical representation showing the relationship between the price of a good and the amount of that good consumers are willing to buy.

Support Price

A price level set by governments in order to maintain the market price of a good or service at a particular minimum level to protect producers.

Consumer Surplus

The difference between what consumers are willing to pay for a good or service versus what they actually pay, measuring the benefit to consumers from participation in the market.

Equilibrium Price

The price at which the quantity of a good or service demanded equals the quantity supplied, resulting in market equilibrium.