Free-Falling Object In Exercises 101 and 102. 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. When will the paint can hit the ground? At what velocity will the paint can impact the ground?
Free-Falling Object In Exercises 101 and 102. 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. When will the paint can hit the ground? At what velocity will the paint can impact the ground?
In Exercises 101 and 102. 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. When will the paint can hit the ground? At what velocity will the paint can impact the ground?
I need detailed help solving this exercise from homework of Calculus I.I do not really understand how to do, please do it step by step, not that long but clear. Thank you!P.S.: Please do not use AI, thanks!---------------------------------------------------------------------------------Part 3: Fill-in-the-Blank Questions
I need detailed help solving this exercise from homework of Calculus I.I do not really understand how to do, please do it step by step, not that long but clear. Thank you!P.S.: Please do not use AI, thanks!---------------------------------------------------------------------------------Part 1: Multiple-Choice Questions, Each Problem with Single Correct Answer
I need detailed help solving this exercise from homework of Calculus I.I do not really understand how to do, please do it step by step, not that long but clear. Thank you!P.S.: Please do not use AI, thanks!---------------------------------------------------------------------------------Part 1: Multiple-Choice Questions, Each Problem with Single Correct Answer
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