# Question #5a595

##### 1 Answer

The velocity of the spacecraft will be **5930 m/s**.

#### Explanation:

So, the velocity of your spacecraft forms a **vertical movement** and of a **horizontal movement**.

The *vertical* and *horizontal* components of the initial velocity will be

At some point in time, the two engines of the ship fire for **475 s**. The two accelerations induced by the two separate engines are directed *east*, or along the **y direction**, and *north*, or along the **x direction**.

This means that you can write

The acceleration oriented along the **y axis** will influence the *vertical component* of the initial velocity, and the acceleration oriented along the **x axis** will influence the *horizontal component* of the initial velocity.

This means that you can write

Plug in your values and solve for the *vertical and horizontal components* of the **final velocity**.

and

To get the final velocity of the spacecraft, use Pythagoras' Theorem