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!

asked by Anon
  1. 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!

    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. 8th grade geometry

    The quarterback throws a pass from 10 yards from a goal line and 25 yards from a sideline. A receiver catches the pass at 40 yards from the same goal line and 5 yards from the same sideline. How long was the pass?
  2. Math

    joe needs to construct a fence that is 75 yards long and 40 yards wide the arra also needs to be divided into 3 equal sections how many yards of fencing will be needed?
  3. Math

    2. Jane is making a suit which requires 2 5/8 yards for the jacket and 1 3/4 yards for the skirt. What is the total amount of material she needs? A. 4 3/8 yards B. 3 2/3 yards C. 4 yards D. 3 1/2 yards A?
  4. Math 116

    On three consecutive passes, a football team gains 8 yards, lose 26 yards, and gain 16 yards. The total net yardage is how many yards. 8-26+16=32 yards. Is this right.
  5. math

    Suppose a football team's offense which passes 58% of the time (and rushes the rest), averages 6.9 yards per pass and 4.4 yards per rush. In a game with 65 offensive plays, how many yards would you expect them to gain
  6. math

    In a football game, a quarterback throws a pass from the 5 yard line (10 yards from the sideline). The pass is caught by on the 45 yard line (40 yards from the same sideline). How long was the pass in yards?
  7. math question

    I have to answer the follwoing question: Jades mother was making curtains for the dining room. She use 37 3/4 yards of fabric for the curtain panels. 13 2/7 yards of fabric for the valance. and 6ft 2in. of cord for the tiebacks.
  8. Algebra

    On its first three plays in a football game, the offense gains 6 yards,loses 5 yards, and then gains 7 yards. Write an equation that could be used to find y, the number of yards needed on the fourth play for the overall 10-yard
  9. math

    to make one costume, rachael uses 6 yards of material and 3 yards of trim. suppose she uses a total of 48 yards of material to make several costumes. how many yards of trim does she use? write the rule you used to find the number
  10. Math

    carl wants to plant a garden that is 1 1/2 yards long and has an area of 3 1/2 square yards. How wide should he make the garden? a. 3/7 yard b. 2 yards c. 2 1/2 yards d. 5 1/4 yards Help please.

More Similar Questions