Physics, 19.10.2019 13:10 heavenwagner

An object is released from rest at a height h. during the final second of its fall, it traverses a distance of 38m. determine the value of h.

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Answer from: dnation94

The height from which the object was released from is 93.9m.

Since object is released from rest

Initial velocity; u = 0m/s

First, we find the velocity of the object at the beginning of the last second.

During the final second of its fall, it traverses a distance of 38m

Distance travelled h_1 = 38m ( final second; time t = 1s )

Using the second equation of motion:

$s = ut + \frac{1}{2}at^2$

We substitute in our values

$38m = (v * 1s) + ( \frac{1}{2} * 9.8m/s^2 * (1s)^2 )\\\\38m = (v * 1s) + 4.9m\\\\(v * 1s) = 38m - 4.9 m\\\\(v * 1s) = 33.1m\\\\v = 33.1m/s$

Now Lets find the height as the object transverse, final velocity v = 33.1m/s , initial velocity u = 0m/s and acceleration due to gravity; a = 9.8m/s^2

From the Third Equation of Motion:

v^2 = u^2 + 2ah

We substitute in our values

$(33.1m/s)^2 = 0m/s + (2 * 9.8m/s^2 * h )\\\\1095.61m^2/s^2 = 19.6m/s^2 * h \\\\h = \frac{1095.61m^2/s^2}{19.6m/s^2}\\\\h = 55.9m$

So h_2 = 55.9m

To get the height from which the ball was released:

Height = h_1 + h_2

Height = 38m + 55.9m

Height = 93.9m

Therefore, the height from which the object was released from is 93.9m.

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Answer from: Michael9979

During the final second of its fall, it falls a distance of 38m.

Its average speed during that final second was 38 m/s.

But we know that it gained 9.8 m/s of speed during that second.

Its speed at the end of that second must have been (38+4.9) = 42.9 m/s ,
and at the beginning of that second must have been (38-4.9) = 33.1 m/s .

Since its speed at the beginning of the final second was 33.1 m/s,
that final second began at (33.1/9.8) = 3.378 seconds after the drop.

All together, when the final second is added onto that, the object
fell for a total of 4.378 seconds.

Distance of fall from rest = (1/2) (g) (t)²

= (4.9 m/s²) (4.378 s)²

= (4.9 m/s²) (19.163 s²)

= 93.9 meters .

Answer from: Quest

No it would not hope that

Answer from: Quest

hi there!

your question asks at which segment does freezing occur.

since we're talking about water, the freezing point of water will be 32 degrees fahrenheit or below.

hope this ! ~

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