It is the final seconds of an ice hockey game between the Flyers and the Bruins.

Question

It is the final seconds of an ice hockey game between the Flyers and the Bruins. The Bruins are down by 1 point. With 20s left in the game, the Bruins pull the goalie and have him play as a forward in an attempt to tie the game. The flyers successfully defend their goal for 9s. With only 1.25s remaining on the game clock, a Flyer shoots the puck on the ice past the skates and stick of the other players and toward the Bruins' goal. The puck is 37m from the goal when it leaves the stick with an initial horizontal velocity of 30 m/s. The shot is perfectly directed toward the empty goal, but the ice slows the puck down at a constant rate of .50 m/s^2 as it slides toward the goal. None of the Bruins can stop the puck before it reaches the goal. a) where is the puck when the game clock reaches zero and the horn sounds to end the game? the anser is .11m past the goal line but how do you get this answers? I am looking for the steps to solve this problem. b) do the flyers win the game by 1 or 2 points? The answer is that the flyers win the game by 2 points. What are the work our steps to achieve this answer?

Explanation / Answer

(a)

u = 30 m/s

a = -0.5 m/s^2

t = 1.25 s

s = 37 m.

s1 = u*t + 1/2a*t^2 = 37.5 - 0.39

= 37.11 m

S1 - s = 0.11 m past the goal

(b) As this is inside the goal the flyers get 1 more point and win by 2 points

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