# A water balloon with a mass of 500 g is launched across a waterpark and lands 150 m away 5 seconds later. What is the initial velocity in the x and y directions, launch angle, and max height?

##### 1 Answer

The launch angle was approximately

#### Explanation:

Let

Assume no air resistance and that the water balloon was launched at ground level.

Horizontal velocity =

We know that the balloon traveled 150 meters horizontally in 5 seconds so

The horizontal distance,

which implies that

The vertical height,

Use the last two equations to eliminate

The balloon lands when

Notice that

so

The max height will be halfway through the flight or when

Remember that