# Acceleration due to gravity on Mars is about one—third that on Earth. Suppose you throw a ball upward with the same velocity on Mars as on Earth. How would the balls maximum height compare to that on Earth?

##### 1 Answer

The ball would travel 3 times as high.

#### Explanation:

The equation for finding the **displacement** (vertical height in this case) of an object with a constant acceleration is:

where **displacement** ,

**initial velocity** ,

**final velocity** ,

and **the acceleration** .

*For more information about the resoning behind this formula, look here.*

We can rearrange this formula to give:

since we want to know about displacement (height).

When throwing a ball vertically, the velocity at the top of the throw (when the ball is highest) is 0 , so we can **remove the #v^2# part of the equation** , as

Now we can look at this equation in terms of Earth.

The initial velocity

This can be rearranged to produce:

From this we see that

Therefore the displacement or height (**the ball will travel 3 times as high** .