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Temka [501]
4 years ago
12

An object is dropped from a building and allowed to freefall to the ground. The height of the object over time is shown in the t

able. (For reference: h(t) = 144 – 16t2)

Mathematics
1 answer:
deff fn [24]4 years ago
5 0
In 1 second the object fell 144 - 128 = 16 feet.
From 2 seconds to 1 second the object fell 128 - 80 = 48 feet.
From 2 seconds to 3 seconds the object fell 80-0 = 80 feet.

The distance the object fell increased with time.

 The correct answer would be the last one.





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Answer:

The value of g_s is g_s=\frac{30}{21} \:\frac{m}{s^2}.

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We know that the position function is given by

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v(t)=\frac{d}{dt}(s(t))

So, the velocity function is

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When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

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4 years ago
Determine the equation of a circle whose diameter has the endpoints (-1, 2) and (7.
Viefleur [7K]

Answer:

(x - 3)^2 + (y + 1) = 25

Step-by-step explanation:

First find the midpoint of the diameter, because that represents the center of the circle.

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The x-coordinate of the midpoint is xm = ---------- = 3

                                                                          2

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and the y-coordinate is ym = ---------- = -1

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And so the center of this circle is at (3, -1).

Use the Pythagorean Theorem to determine the square of the radius:

square of radius = 4^2 + (-3)^2 = 16 + 9 = 25

And so the equation of this circle is (x - 3)^2 + (y + 1) = 25

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