Field goal attempt Near the end of the 1950 Rose Bowl football game between the University of California and Ohio State University. Ohio State was preparing to attempt a field goal from a distance of 23 yd from the endline at point A on the edge of the kicking region (see figure). But before the kick. Ohio State committed a penalty and the ball was backed up 5 yd to point B on the edge of the kicking region. After the game, the Ohio State coach claimed that his team deliberately committed a penalty to improve the kicking angle. Given that a successful kick must go between the uprights of the goal posts G 1 and G 2 , is ∠ G 1 BG 2 greater than ∠ G 1 AG 2 ? (In 1950, the uprights were 23 ft 4 in apart, equidistant from the origin on the end line. The boundaries of the kicking region are 53 ft 4 in apart and are equidistant from the y -axis. ( Source: The College Mathematics Journal 27, 4, Sep 1996)
Field goal attempt Near the end of the 1950 Rose Bowl football game between the University of California and Ohio State University. Ohio State was preparing to attempt a field goal from a distance of 23 yd from the endline at point A on the edge of the kicking region (see figure). But before the kick. Ohio State committed a penalty and the ball was backed up 5 yd to point B on the edge of the kicking region. After the game, the Ohio State coach claimed that his team deliberately committed a penalty to improve the kicking angle. Given that a successful kick must go between the uprights of the goal posts G 1 and G 2 , is ∠ G 1 BG 2 greater than ∠ G 1 AG 2 ? (In 1950, the uprights were 23 ft 4 in apart, equidistant from the origin on the end line. The boundaries of the kicking region are 53 ft 4 in apart and are equidistant from the y -axis. ( Source: The College Mathematics Journal 27, 4, Sep 1996)
Solution Summary: The author calculates if the kicking angle is greater than the angle G_1B, when there is a successful kick.
Field goal attempt Near the end of the 1950 Rose Bowl football game between the University of California and Ohio State University. Ohio State was preparing to attempt a field goal from a distance of 23 yd from the endline at point A on the edge of the kicking region (see figure). But before the kick. Ohio State committed a penalty and the ball was backed up 5 yd to point B on the edge of the kicking region. After the game, the Ohio State coach claimed that his team deliberately committed a penalty to improve the kicking angle. Given that a successful kick must go between the uprights of the goal posts G1 and G2, is ∠G1BG2 greater than ∠G1AG2? (In 1950, the uprights were 23 ft 4 in apart, equidistant from the origin on the end line. The boundaries of the kicking region are 53 ft 4 in apart and are equidistant from the y-axis. (Source: The College Mathematics Journal 27, 4, Sep 1996)
2. A person who is 6 feet tall casts a shadow that is 2.3 feet long. At the same time of day, a nearby building
casts a shadow that is 40 feet long. Which of the following is closest to the height of the building?
(1) 15 feet
(3) 92 feet
(2) 54 feet
(4) 104 feet
SCT. A contractor building an airport needs to know how far a water tower is away from end of the runway. Using her diagram below can
you determine how far away the water tower is? Round to the nearest foot.
Water
Tower
airport
Tarmac
anger hanger
Service
building
Suppose you have a bat swing speed of 110 feet per second and hit the ball at a 45 degree angle. The fence is 350 feet away and 10 feet height. Assume the batter hits the ball when it is 3 feet off of the ground. Need to show all work.
a. Would you hit a homerun?
b. How far will the ball travel before it hits the ground?
c. Would you hit a homerun if you increased your bat speed to 120 feet per second?
d. Would you hit a homerun if you kept the 120 feet per second speed but used a 40 degree angle (hit more of a line drive)?
e. Would you hit a homerun if you kept the 120 feet per second speed but used a 50 degree angle (hit it higher in the air)?
Chapter 1 Solutions
Calculus: Single Variable, Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)
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