Final answer:
The first-aid kit is traveling at a speed of 24.525 m/s after 2.5 seconds of free fall using the acceleration due to gravity.
Step-by-step explanation:
To determine how fast the first-aid kit is traveling 2.5 seconds after it is dropped, we can use the equation for the acceleration due to gravity (g), which is: v = gt, where 'v' is the final velocity, 'g' is the acceleration due to gravity (approximately 9.81 m/s² on Earth), and 't' is the time in seconds. Assuming that air resistance is negligible and the kit was dropped from rest (initial velocity, u = 0), the velocity after 2.5 seconds would be calculated as:
v = gt = 9.81 m/s² × 2.5 s = 24.525 m/s
So, the first-aid kit is traveling at a speed of 24.525 m/s after 2.5 seconds of free fall.