If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 ft per second, then its height h
after t seconds is given by the equation h(t) = -16t ^2 + 128t. What is the height after 60 seconds?
2 answers:
Answer:
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Step-by-step explanation:
t=60 is outside the domain of the function, which is t ∈ [0, 8].
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If you take the function and the time at face value, ...
... h(60) = -49920 . . . feet, more than 9.4 miles below ground level*
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*The deepest hole ever drilled into the Earth is 40,230 feet deep, so this is almost 2 miles deeper.
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Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
- (-5, -3)
- (2, 4)
We can use the rate of change formula to find the slope of the points.
In mathematics, coordinate pairs are labeled as:
Therefore, we can relabel our points:
After we do this, we can expand the rate of change formula:
Now, we can use simple substitution to solve for m, or the slope.
Therefore, the slope of the line is 1.