Physics

To calculate the total horizontal distance traveled by a stone thrown from a cliff at a 45° angle with an initial speed of 22 m/s, we can follow these steps:

 

Calculate the initial vertical and horizontal velocities:

The vertical () and horizontal () components of the initial velocity are given by:

 

 

Calculate the time of flight:

We need to determine how long the stone is in the air. The vertical motion can be described by the equation:

 

Where:

(initial height of the cliff)

(acceleration due to gravity)

(final position when the stone hits the ground)

 

Setting up the equation:

 

Solve the quadratic equation:

Using the quadratic formula:

 

Where:

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