Free fall. On Earth, all free-fall distance functions are of the form s ( t ) = 4.905 t 2 , where t is in seconds and s ( t ) is in meters. The second derivative always has the same value. What does that value represent? s " ( t ) = 9.81 m/sec 2 ; the value of the gravitational constant for Earth
Free fall. On Earth, all free-fall distance functions are of the form s ( t ) = 4.905 t 2 , where t is in seconds and s ( t ) is in meters. The second derivative always has the same value. What does that value represent? s " ( t ) = 9.81 m/sec 2 ; the value of the gravitational constant for Earth
Solution Summary: The author explains the second derivative of distance function, s′′, which represents acceleration due to gravity of an object during free fall.
Free fall. On Earth, all free-fall distance functions are of the form
s
(
t
)
=
4.905
t
2
,
where t is in seconds and
s
(
t
)
is in meters. The second derivative always has the same value. What does that value represent?
s
"
(
t
)
=
9.81
m/sec
2
;
the value of the gravitational constant for Earth
Thomas' Calculus: Early Transcendentals (14th Edition)
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