Answer:
t = 1.41 seconds
Step-by-step explanation:
We know the height at which the coconut is, which is 64 ft, now assuming that we are on the ground, we know that gravity is equal to 32.1742 ft / s².
Gravity is an acceleration, we have that the acceleration is equal to:
a = v / t
but the speed v = d / t, replacing we have:
a = (d / t) / t
That is to say
a = d / t²
Now, solved for you we have:
t = (d / a) ^ (1/2)
Replacing the values, we are left with:
t = (64 / 32.17) ^ (1/2)
t = 1.41 seconds
therefore, the person has 1.41 seconds to escape.
Answer:
The time, t, available to escape is 1.994 s ≈ 2 seconds.
Step-by-step explanation:
To solve the question, we note the given variables as follows
Height of tree = 64 feet = 19.5072 m
Also, the equation of motion of an object in free fall is given as
h = u·t + [tex]\frac{1}{2}[/tex]·g·t²
Where:
t = Time for the object to fall through h
u = Initial velocity of the object = 0 m/s
g = Acceleration due to gravity = 9.81 m/s²
h = Height from which the object is falling = 64 ft = 19.5072 m
Therefore
19.5072 m = 0 m/s × t + [tex]\frac{1}{2}[/tex]×9.81 m/s²×t²
19.5072 m = 4.905 m/s²·t²
19.5072 m ÷ 4.905 m/s² = t²
3.977 s² = t²
t = 1.994 s
