SOLUTION: The distance in feet that an object falls in a vacuum is given by s(t)= 16t^2, where t represents the time in seconds. a) Find : s(2+h) - s(2)/h ? b) what happens when h t

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Question 524957: The distance in feet that an object falls in a vacuum is given by
s(t)= 16t^2, where t represents the time in seconds. a) Find :
s(2+h) - s(2)/h ?
b) what happens when h tends to 0 ?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The distance in feet that an object falls in a vacuum is given by
s(t)= 16t^2, where t represents the time in seconds.
a) Find
s(2+h) - s(2)/h
= %2816%282%2Bh%29%5E2+-+16%2A2%5E2%29%2Fh
= 16%2A%284+%2B+4h+%2B+h%5E2+-+4%29%2Fh
= 16%2A%284h+%2B+h%5E2%29%2Fh
= 16%2A%284+%2B+h%29
= 64 + 16h
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b) what happens when h tends to 0 ?
s(2+h) - s(2)/h approaches 64