Answer:
The squeegee passes by the other window washer in 3.9 seconds to the nearest tenth
Step-by-step explanation:
From the question,
The first person drops a squeegee from a height of 95 feet, to determine how long it takes the squeegee to pass by another person at a height of 20 feet, that is, we are to determine how long it will take the squeegee to travel a height distance of 95 feet - 20 feet
95 feet - 20 feet = 75 feet.
Hence, we are to determine how long it will take the squeegee to travel a height distance of 75 feet.
From one of the equations of motion due to free fall
h = ut + 1/2gt²
Where h is the height
u is the initial velocity
g is the acceleration due to gravity (Take g = 9.8 m/s²)
and t is the time
For the question,
h = 75 feet
u = 0 m/s ( Since the squeegee is dropped from rest)
Therefore
75 = 0(t) + 1/2(9.8)(t²)
75 = 4.9t²
∴ t² = 75/4.9
t² = 15.306
t =√15.306
t = 3.9 secs
Hence,
The squeegee passes by the other window washer in 3.9 seconds to the nearest tenth.
