Final answer:
The parachutist has fallen approximately 31.36 meters.
Step-by-step explanation:
To calculate the distance fallen by the parachutist, we can use the equation of motion:
d = (1/2)at^2
Where d is the distance fallen, a is the acceleration, and t is the time.
Since the parachutist is in free fall, the acceleration can be taken as gravitational acceleration, which is 9.8 m/s².
From the information provided, we know that the parachutist's velocity is 25 m/s at some point during the fall.
To find the time taken to reach this velocity, we can use the equation:
v = u + at
Where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Assuming the parachutist starts from rest, u is 0.
Plugging in the values:
25 = 0 + 9.8t
Solving for t:
t = 25/9.8 ≈ 2.55 seconds
Now, we can calculate the distance fallen:
d = (1/2)at^2
d = (1/2) * 9.8 * (2.55)^2 ≈ 31.36 meters
Therefore, the parachutist has fallen approximately 31.36 meters.