No, sound does not travel with the same speed in all directions. The speed of sound depends on the properties of the medium through which it travels.
In a uniform medium, such as air at a given temperature and pressure, sound waves generally propagate in all directions at the same speed. This means that sound waves travel equally fast in all directions away from the source.
However, when the medium is not uniform or when there are variations in temperature, pressure, or density, the speed of sound can be affected. These variations can cause changes in the speed and direction of sound waves.
For example, in the Earth's atmosphere, the speed of sound generally decreases with increasing altitude due to a decrease in air density. Sound waves may also be influenced by factors such as wind, temperature gradients, and humidity, which can cause changes in their speed and direction.
In addition, when sound waves encounter a medium with different properties, such as a different material or boundary, they can undergo reflection, refraction, diffraction, or absorption, which can further affect their speed and direction.
Therefore, while sound generally propagates in all directions with the same speed in a uniform medium, variations in the properties of the medium and interactions with boundaries or other materials can lead to changes in the speed and direction of sound waves.