Physics

To compare the horizontal distance (range) of a projectile launched at different angles, we can approach it by breaking down the velocity components.

 

Find the initial velocity:

Start with the range of 100 m for the 45° launch. The horizontal and vertical components of the initial velocity can be expressed as:

 

For a 45° launch:

 

Calculate the time of flight:

The time to reach the maximum height is given by:

Therefore, the total time of flight is:

 

Calculate the horizontal distance:

The horizontal distance () is given by:

For the 45° launch, since m, we have:

 

Calculate the range for a 30° launch:

For the 30° launch:

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