Physics

To calculate the time of flight for a ball launched at a 45° angle with an initial speed of 20 m/s from the top of a 30-meter-high 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:

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