(1 point) A coin, thrown upward at time t = 0 from an office in the Empire State Building, has height in feet above the ground t
1 answer:
Answer:
The coin was thrown from 448 feet
Time to hit the ground is 7 seconds
Step-by-step explanation:
Given
Solving (a): Height when coin is thrown
At this point t = 0
So, we have:
Solve expressions in the brackets
<em>Hence, the coin was thrown from 448 feet</em>
Solving (b): Time to hit the ground
At this point, h = 0.
So, we have:
Reorder
Divide both sides by -16
This gives:
or
or
Since, time can't be negative;
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Problem 1
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Another example: as x gets closer to x = 4 from the right hand side, the y value gets closer to y = 4. This y value is different if you approach x = 0 from the left side (y would approach y = 1/2)
Use examples like this and you'll get the results you see in "figure 1"
For any function values, you'll look for actual points on the graph. A point does not exist if there is an open circle. There is an open circle at x = 2 for instance, so that's why f(2) = UND. On the other hand, f(0) is defined and it is equal to 4 as the point (0,4) is on the function curve.
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Problem 2
This is basically an extension of problem 1. The same idea applies. See "figure 2" (in the attached images) for the answers.
With limits, you are looking to see what happens when x gets closer to some value. For example, as x gets closer to x = 2 (from the left and right side), then y is getting closer and closer to y = 1/2. Therefore the limiting value is 1/2
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