Final answer:
The bolt's speed on impact with the ground after falling for 3.7 seconds would be 36.26 m/s, and it would have fallen a distance of 67.11 meters.
Step-by-step explanation:
To determine the speed of the bolt on impact with the ground after falling from rest for 3.7 seconds, and assuming no air resistance, we can use the formula for the velocity of an object in free fall, v = gt, where g is the acceleration due to gravity (approximately 9.8 m/s2) and t is the time in seconds. The speed on impact (v) after 3.7 seconds is:
v = (9.8 m/s2) * (3.7 s) = 36.26 m/s.
To find the distance that the bolt fell, we use the formula for the distance of an object in free fall, d = 0.5 * g * t2. Therefore, the distance (d) is:
d = 0.5 * (9.8 m/s2) * (3.7 s)2 = 67.11 m.