The acceleration due to gravity on the moon is about one-sixth its value on earth. if a baseball reaches a height of 58 m when thrown upward by someone on the earth, what height would it reach when thrown in the same way on the surface of the moon?

It will reach 348 m.

Explanation:

The gravity acceleration on Earth is

And for the Moon we write :

Being g the gravity acceleration on Earth

The speed equation on a vertical throw is the following :

Where is the final speed of the throw

is the initial speed of the throw

g is the acceleration (generally the gravity acceleration)

y is the height reached

And is the initial height

We define putting the comparison plane on the Earth surface.

Applying the equation on Earth we have the following :

Because the final speed is 0 when the object is in it maximum height

and 58 m is the difference between the maximum height and

Then ⇒

Finally,applying the equation on the Moon :

We use the expression of that we calculated :

Then 348 m would be the height variation between and y

If we define putting the comparison plane on the Moon surface.

The height reached will be 348 m.

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