Posted by **Anon** on Friday, January 20, 2012 at 3:34pm.

QUESTION 1

Joe intercepts a pass 8 yards into the end zone, 19 yards from the right side of the field as he faces the opposite end of the field (see figure). He starts running diagonally, moving at a rate of 4 yd/s down the field and 2 yd/s across the field. Let x and y be his coordinates on the field.

Write parametric equations for his x- and y-coordinates as functions of time t, in seconds, since he intercepted the ball.

If he keeps going straight at the same velocity, what will be his position when t = 10 s?

Yard Line:

Distance from the right side line:

If he keeps going at the same velocity, at what time will he cross the opponent's 40-yard line, x = 60?

The football field is 53 1/3 yards wide. when he crosses the opponent's 40-yard line, will he still be in bounds?

Diagram can be found blondebeliever.tumblr.[com]/precalc (on my blog) under question 1!

- Precalculus -
**Steve**, Friday, January 20, 2012 at 10:41pm
I don't have the diagram. If we call (0,0) the goal line at the edge of the field he's 19 yds from, and +x is downfield, and +y is across the field,

x(t) = -8 + 4t

y(t) = 19 + 2t

x(10) = 32

y(10) = 39

60 = -8 + 4t

t = 17

y(17) = 19 + 34 = 53. He'll be a foot inside the sideline. 1ST DOWN!

## Answer This Question

## Related Questions

- 8th Grade Math - Can you please check my answer? An American football field is a...
- chs - A farmer has a rectangular field with a length of 30 yards and width of x ...
- math - Quinn used a scale drawing to build a soccer field near his school. ...
- geometry - A farmer has a triangular field with sides that measure 120 yards, ...
- math - The football field is 60 yards by 100 yards.Is the length of the ...
- math - the distance around a rectangular field is 340 yards. if the length of ...
- Math - The length of a rectangular field is 3 yards less than twice the width. ...
- Algebra - A rectangular field is four times as long as it is wide. If the ...
- algerbra 2 - the perimeter of the rectangular playing field is 462 yards. The ...
- math - a football player attempts a field goal from a distance of 52 yards. The...

More Related Questions