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An identical book is dropped on four planets of unknown gravity. The book is thrown down on planets W and X, and released from rest on planets Y and Z. The velocity is recorded for some time intervals on each planet, but not all. The missing velocities are blocked out with a gray box. Which of the following lists the planets in order from the greatest acceleration of gravity to the least acceleration of gravity?

An identical book is dropped on four planets of unknown gravity The book is thrown down on planets W and X and released from rest on planets Y and Z The velocit class=

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facundo3141592

We want to compare the gravitational acceleration of different planets by using the given table. The correct option is the last one, so we have:

Planet Y, planet W, planet Z, planet X.

First, we know that the velocity equation is written as:

V(t) = a*t + v₀

Where a is the acceleration and v₀ is the initial velocity.

With this equation, we can find the acceleration in each planet.

Planet W

The initial velocity is v₀ = -3m/s

V(t) = a*t - 3m/s

And we know that at t = 2s, the velocity is -22m/s.

v(2s) = -22m/s = a*2s - 3m/s

           -22m/s + 3m/s = a*2s

           -19 m/s = a*2s

           (-19 m/s)/2s = a = -9.5m/s^2

Now we just do the same thing for each planet.

Planet X:

v₀ = -0.5 m/s

v(1s) = -4.2 m/s = a*1s - 0.5 m/s

          -4.2 m/s + 0.5 m/s = a*1s

          -3.8 m/s^2 = a

Planet Y:

v₀ = 0 m/s

v(2s) = -21 m/s = a*2s

           (-21 m/s)/2s = a = -10.5 m/s^2

Planet Z:

v₀ = 0 m/s

v(1s) = -8 m/s = a*1s

          (-8 m/s)/1s = a = -8m/s^2

Then the order from greatest to least is:

Y, W, Z, X

So the correct option is the last one.

If you want to learn more, you can read:

https://brainly.com/question/10674495

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