Yes, time dilation becomes more noticeable at higher speeds. According to Einstein's theory of special relativity, as an object moves relative to another observer at a significant fraction of the speed of light, time appears to slow down for the moving object relative to the stationary observer.
This phenomenon is known as time dilation. The faster an object moves, the more pronounced the effect becomes. As the speed of an object approaches the speed of light, time dilation becomes increasingly significant. At near-light speeds, the time dilation effect can be quite dramatic, with time appearing to slow down significantly for the moving object relative to the stationary observer.
To illustrate this, consider the famous "twin paradox" scenario. If one twin remains on Earth while the other travels at a high velocity in a spaceship and then returns, the traveling twin will have experienced less time compared to the twin who remained on Earth. This is because the traveling twin's velocity caused time to dilate for them, resulting in a slower passage of time relative to the stationary twin.
It's important to note that time dilation is not just a subjective perception but has been experimentally verified. For instance, particle accelerators that propel particles to near-light speeds observe time dilation effects, and atomic clocks aboard high-velocity satellites, like the Global Positioning System (GPS) satellites, need to be adjusted to account for the relative time difference caused by their motion.
In summary, time dilation becomes more noticeable at higher speeds, with time appearing to slow down for objects moving at significant fractions of the speed of light relative to stationary observers.