Supposed you were standing beneath a palm tree when a coconut began to fall. If the height of the coconut is 64 feet, how much time do you think you'd have to escape?

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 + ·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 + ×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

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step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have