On the​ moon, all​ free-fall distance functions are of the form ​s(t)=0.81t2​, where t is in seconds and s is in meters. An object is dropped from a height of 200 meters above the moon. After 9 ​sec, consider parts​ (a) through​ (d) below. ​a) How far has the object​ fallen? ​b) How fast is it​ traveling? ​c) What is its​ acceleration? ​d) Explain the meaning of the second derivative of this​ free-fall function.

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-On the​ moon, all​ free-fall distance functions are of the form
​s(t)=0.81t2​,
where t is in seconds and s is in meters. An object is dropped from a height of
200
meters above the moon. After
9
​sec, consider parts​ (a) through​ (d) below.
​a)
How far has the object​ fallen?
​b)
How fast is it​ traveling?
​c)
What is its​ acceleration?
​d)
Explain the meaning of the second derivative of this​ free-fall function.
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