SOLUTION: The height s, in feet, of a rock thrown upward at an initial speed of 64 ft/s from a cliff 47 ft above an ocean beach is given by the function
s(t) = −16t2 + 64t + 47,
where
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-> SOLUTION: The height s, in feet, of a rock thrown upward at an initial speed of 64 ft/s from a cliff 47 ft above an ocean beach is given by the function
s(t) = −16t2 + 64t + 47,
where
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Question 1173494: The height s, in feet, of a rock thrown upward at an initial speed of 64 ft/s from a cliff 47 ft above an ocean beach is given by the function
s(t) = −16t2 + 64t + 47,
where t is the time in seconds. Find the maximum height above the beach that the rock will attain. Answer by ewatrrr(24785) (Show Source):
Hi,
Highly recommend the following, if You do not have a graphing calculator
FREE graph software https://www.padowan.dk/download/
s(t) = −16t2 + 64t + 47 |format at^2 + bt + c
Apply: b/-2a x = 2 is the x value of the maximum
Using Your graphing calculator, evaluate s(2)
s(2) = 111 ft
In this case completing the Square is doable:
y = -16(t-2)^2 + 111
can read max point off that (2,111) Know it opens downward as a = -16
Wish You the Best in your Studies.
