Physics

To determine the time of flight for a ball thrown at a 30° angle with an initial velocity of 20 m/s from the top of a 25-meter tall building, we can follow these steps:

 

Calculate the initial vertical velocity ():

The vertical component of the initial velocity is given by:

 

Where:

 

 

Set up the equation of motion:

The vertical position as a function of time can be described by the equation:

 

Where:

(initial height of the building)

(acceleration due to gravity)

(final position when the ball hits the ground)

 

Setting up the equation: