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 20 s 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 9 s. With only 1.25 s remaining on the game clock, a Flyer shoots the puck on the ice past the skates and sticks of the other players and toward the Bruins' goal. The puck is 37 m 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 0.50 m/s2 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?
b. Do the Flyers win the game by 1 or 2 points?

Answer 1

a

`P =0.1094 \ m` past the goal post

Yes the Flyers won the match

Step-by-step explanation:

Generally the distance covered by the pluck during the last 1.25 seconds is mathematically represented as

`D = ut + (1)/(2) * a * t^2`

=>
`D =30  * 1.25 + (1)/(2) * (-0.5) * (1.25)^2`

=>
`D =37.1094 \ m`

Generally the position of the puck when the game clock reaches zero is mathematically represented as

`P = 37.1094 -37`

`P =0.1094 \ m` past the goal post

Given that the Bruins where one point down and Flyers scored another goal it means that the flyer are now two point up hence they won the match