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

`k = 0.11 \ m` beyond the goal post

B

Given that the goal was score against the Bruins it then means that the Flyer won the game with 2 points

Step-by-step explanation:

From the question we are told that

The amount of time left in the game is
`t =  20 \ s`

The amount of time the goal was defended is
`t_1  =  9 \  s`

The time remaining when the shot was made is
`t_2 =  1.25 \  s`

The distance of the pluck from the goal is
`d =  37 \  m`

The initial velocity of the pluck is
`u =  30 \  m/s`

The acceleration of the pluck is
`a =  -0.50 \  m/s^2`

Generally the distance travel at the remaining time is mathematically represented as

`D =  u *  t _2  +  (1)/(2)* a*  t_2`

`D =  30 * 1.25  - (1)/(2)* 0.50* 1.25^2`

`D =  37.11 \ m`

So the position of the pluck when the game clock reaches zero is

`k = D - d`

=>
`k = 37.11 - 37`

=>
`k = 0.11 \ m` beyond the goal post

Given that the goal was score against the Bruins it then means that the Flyer won the game with 2 points