Case Study Question-2
A hockey field is the playing surface for the game of hockey. Historically, the game was played
on natural turf (grass) but nowadays it is predominantly played on an artificial turf. It is
rectangular in shape - 100 yards by 60 yards. Goals consist of two upright post placed equidistant
from the
centre of the backline, joined at the top by a horizontal crossbar. The inner edges of the posts
must be 3.66 metres (4 yards) apart, and the lower edge of the crossbar must be 2.14 metres
(7 feet) above the ground.
Each team plays with 11 players on the field during the game including the goalie.
Positions you might play include-
• Forward: As shown by players A, B, C and D.
• Midfielders: As shown by players E, F and G.
• Fullbacks: As shown by players H, I and J.
• Goalie: As shown by player K Using the picture of a hockey field below,
answer the questions that follows
The coordinates of the centroid of △EHJ are
(a) (− 2
3
, 1) (b) (1, −2
3
) (c) (2
3
, 1) (d) (−2
3
, -1)
If a player P needs to be at equal distances from A and G, such that A, P and G are in
straight line, then position of P will be given by
(a) (−3
2
, 2) (b) (2, 3
2
) (c) (2, −3
2
) (d) ( -2, -3)
The point on x axis equidistant from I and E is
(a) (1/2, 0) (b) (0,-1/2) (c) (-1/2,0) (d) ( 0,1/2)
What are the coordinates of the position of a player Q such that his distance from K is
twice his distance from E and K, Q and E are collinear?
(a) (1, 0) (b) (0, 1) (c) (-2, 1) (d) (-1, 0)
The point on y axis equidistant from B and C is
(a) (-1, 0) (b) (0, -1) (c) (1, 0) (d) (0, 1)
Answers
Answer:
A hockey field is the playing surface for the game of hockey. Historically, the game was played on natural turf (grass) but nowadays it is predominantly played on an artificial turf.
It is rectangular in shape - 100 yards by 60 yards. Goals consist of two upright posts placed equidistant from the center of the backline, joined at the top by a horizontal crossbar. The inner edges of the posts must be 3.66 meters (4 yards) apart, and the lower edge of the crossbar must be 2.14 meters (7 feet) above the ground.
Each team plays with 11 players on the field during the game including the goalie. Positions you might play include-
Forward: As shown by players A, B, C and D.
Midfielders: As shown by players E, F and G.
Fullbacks: As shown by players H, I and J.
Goalie: As shown by player K