In Exercises 105 and 106, use the position function s ( t ) = − 16 t 2 + 500 , which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time t = a seconds is given by lim t → a s ( a ) − s ( t ) a − t ⋅ A construction worker drops a full paint can from a height of 500 feet. How fast will the paint can be falling after 2 seconds?
In Exercises 105 and 106, use the position function s ( t ) = − 16 t 2 + 500 , which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time t = a seconds is given by lim t → a s ( a ) − s ( t ) a − t ⋅ A construction worker drops a full paint can from a height of 500 feet. How fast will the paint can be falling after 2 seconds?
Solution Summary: The author explains how the velocity of the falling paint can after 2 seconds is given by 64 feet/second.
In Exercises 105 and 106, use the position function
s
(
t
)
=
−
16
t
2
+
500
,
which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time
t
=
a
seconds is given by
lim
t
→
a
s
(
a
)
−
s
(
t
)
a
−
t
⋅
A construction worker drops a full paint can from a height of 500 feet. How fast will the paint can be falling after 2 seconds?
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