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If you were to travel at 99.99999% of the speed of light relative to your friend, you would indeed experience time dilation due to special relativity. According to the theory of special relativity, time appears to pass more slowly for objects in motion relative to an observer at rest.

In this scenario, if you were to travel 30 feet away from your friend at such a high speed, your friend would observe that time is passing more slowly for you compared to himself. However, it's important to note that the effect of time dilation becomes more significant as your velocity approaches the speed of light. At 99.99999% of the speed of light, the time dilation effect would be quite extreme.

If you were to travel at that velocity and then return to your friend after covering a distance of 30 feet, you would have experienced a substantial amount of time dilation compared to your friend. However, it's unlikely that the time dilation would cause you to age hundreds of years relative to your friend.

To provide a more accurate estimate of the time dilation effect in this scenario, we would need to perform a precise calculation involving the Lorentz factor, which accounts for time dilation due to relativistic velocities. Nonetheless, it's safe to say that significant time dilation would occur, but hundreds of years of aging would likely be an overestimate.

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