The average rate of increase per year?
1 answer:
Answer:
Average rate of increase will be 0.0466 feet/year
Step-by-step explanation:
We have given that the scientific studies indicate that the ocean level could rise 3.5 feet in 75 years
So rise in level of ocean = 3 feet
Time by which the ocean level rise = 75 years
We have to find the average rate of ocean rise
Average rate of ocean rise is given by
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Somewhere you're given the equation for height as a function of time:
... h(t) = -16t² + v₀·t . . . . . . where v₀ is the initial vertical velocity in ft/s
For v₀ = 224, this becomes
... h(t) = -16t² + 224t
And this can be rewritten in vertex form as
... h(t) = -16(t² + 14t)
... h(t) = -16(t² + 14t +7²) +16·7² . . . . . complete the square (add the square of half the t coefficient inside parentheses; add the opposite of that amount outside parentheses)
... h(t) = -16(t +7)² + 784
The vertex of this downward-opening parabola is (7, 784), so ...
The rocket reaches its maximum height at 7 seconds.
The maximum height of the rocket is 784 feet.
