During the testing phase, engineers observed that the distance, d (in meters), a prototype component falls from rest is directly proportional to the square of the time taken, t (in seconds). This observation is crucial for understanding the impact resistance of materials. Perform this calculation: i. Given that a component falls 50 meters in 5 seconds, the engineers aim to predict how far the component will fall from rest in 7 seconds, to further understand the material's behavior under extended stress conditions. ii. Additionally, they need to calculate the time, in minutes, it would take for a component to fall 45 kilometers from rest, providing insights into extreme stress test scenarios