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

hello there!

your answer is a “generator”

a generator does not create energy but instead it transforms it.

it’s basically a motor working in reverse.

Answer from: Quest

It may possibly be c i think |-/

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