If you throw a rock as far as you can from the ground level of a building, and from the top level of a building, will it go further horizontally when thrown from the higher level or from the ground level?

further from higher level unless there is no gravity in which case they will both travel forever at the same speed

When throwing a rock horizontally, neglecting air resistance, the height from which it is thrown does not affect its horizontal distance. This is because the only factors that affect the horizontal range are the initial velocity and the angle at which the rock is thrown.

In order to understand this, we can break down the motion into two components: horizontal and vertical. The horizontal component determines the distance the rock will travel, whereas the vertical component determines the height the rock will reach. Since we are only concerned with the horizontal distance, the initial height from which the rock is thrown does not impact it.

To calculate the horizontal range, you can use the formula:

Range = (Initial Velocity)^2 * sin(2θ) / g

Where:
- Initial Velocity is the initial speed at which the rock is thrown
- θ is the launch angle
- g is the acceleration due to gravity (approximately 9.8 m/s²)

As long as the initial velocity and the launch angle are the same, the horizontal range will be the same, regardless of whether the rock was thrown from the ground level or a higher level of the building.

Therefore, if you throw a rock horizontally from both the ground level and the top level of a building with the same initial velocity and launch angle, it will go the same distance horizontally in both cases.