Question

A pilot decides to bail out of his airplane at a specific altitude and lands on the ground after precisely 83.7 seconds. His terminal velocity, the maximum constant speed he can achieve in free fall, is 200 kilometers per hour. Calculate:

How many seconds it took for the pilot to reach his terminal velocity during the fall?
1.45 seconds
2.50 seconds
3.55 seconds
4.60 seconds

Determine the altitude from which the pilot bailed out.
1.900 meters
2.950 meters
3.1000 meters
4.1050 meters

Answer 1

In free fall, it took the pilot 0 seconds to reach his terminal velocity. The pilot bailed out from an altitude of approximately 4646.5 meters.

Step-by-step explanation:

To determine how many seconds it took for the pilot to reach his terminal velocity during the fall, we can use the formula for calculating time: time = distance / velocity.

Given that the terminal velocity is 200 kilometers per hour, we need to convert this to meters per second. Since 1 kilometer equals 1000 meters and 1 hour equals 3600 seconds, the terminal velocity is approximately 55.6 meters per second.

To calculate the time to reach terminal velocity, we need to know the distance. Since the pilot landed on the ground after 83.7 seconds, we can assume that the total time includes the time to reach terminal velocity. Therefore, the time to reach terminal velocity is approximately 83.7 seconds - 83.7 seconds = 0 seconds.

Therefore, it took the pilot 0 seconds to reach his terminal velocity during the fall.

To determine the altitude from which the pilot bailed out, we can use the formula for calculating distance: distance = velocity x time.

Using the terminal velocity of 55.6 meters per second and the time of 83.7 seconds, we get a distance of approximately 4646.5 meters.

Therefore, the pilot bailed out from an altitude of approximately 4646.5 meters.