Respuesta :
Answer:
A
[tex]k = 0.11 \ m [/tex] 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
Explanation:
From the question we are told that
The amount of time left in the game is [tex]t = 20 \ s[/tex]
The amount of time the goal was defended is [tex]t_1 = 9 \ s[/tex]
The time remaining when the shot was made is [tex]t_2 = 1.25 \ s[/tex]
The distance of the pluck from the goal is [tex]d = 37 \ m[/tex]
The initial velocity of the pluck is [tex]u = 30 \ m/s[/tex]
The acceleration of the pluck is [tex]a = -0.50 \ m/s^2[/tex]
Generally the distance travel at the remaining time is mathematically represented as
[tex]D = u * t _2 + \frac{1}{2}* a* t_2[/tex]
[tex]D = 30 * 1.25 - \frac{1}{2}* 0.50* 1.25^2[/tex]
[tex]D = 37.11 \ m [/tex]
So the position of the pluck when the game clock reaches zero is
[tex]k = D - d[/tex]
=> [tex]k = 37.11 - 37[/tex]
=> [tex]k = 0.11 \ m [/tex] 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