Physics

To determine how far horizontally the ball will travel before hitting the ground when launched at a 30° angle from the top of a 20-meter-high building with a speed of 18 m/s, we can follow these steps:

 

Given Data

Launch Angle (): 30°

Initial Speed (): 18 m/s

Height of the Building (): 20 m

Acceleration due to Gravity (): 10 m/s²

 

Calculate the Time of Flight

First, we need to find the time of flight. The vertical motion can be described by the kinematic equation:

Setting (ground level):

Where :

Substituting this into the equation gives:

 

Use the Quadratic Formula

We can solve for using the quadratic formula:

Where:

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