Final answer:
The goalie had approximately 0.543 seconds to react to the hockey puck traveling at a speed of 35.7 m/s from a distance of 19.40 meters. None of the provided answer choices are correct.
Step-by-step explanation:
To calculate how much time the goalie had to react to the shot, we can use the formula: Time = Distance / Speed
Plugging in the values provided: Time = 19.40 meters / 35.7 m/s
When we perform the calculation: Time = 0.543 seconds
Therefore, none of the options a) 1.75 seconds, b) 2.5 seconds, c) 3.0 seconds, or d) 4.0 seconds are correct. The actual time the goalie had to react was approximately 0.543 seconds.