Larry leaves home at 3:02 and runs at a constant speed to the lamppost. He reaches the lamppost at 3:18, immediately turns, and runs to the tree. Larry arrives at the tree at 3:26. What is Larry's average velocity during his trip from the lamppost to the tree?

To find Larry's average velocity during his trip from the lamppost to the tree, we need to calculate the displacement and the time taken.

First, we determine the displacement by subtracting the initial position from the final position. In this case, the lamppost is the initial position, and the tree is the final position.

The time taken is found by subtracting the starting time from the ending time.

Given the information in the problem:

Starting time: 3:18
Ending time: 3:26

Subtracting the starting time from the ending time, we get:
(3:26 - 3:18) = 8 minutes

Next, we calculate the displacement.

Since Larry reaches the lamppost and then immediately turns towards the tree, we can assume that the displacement is a straight line between these two points.

Therefore, we can ignore the time taken to reach the lamppost, the constant speed at which he ran, and the time taken from home to the lamppost.

Finally, we have the displacement, which is the distance between the lamppost and the tree. However, it is not given in the problem.

Without the distance, we can't determine Larry's average velocity during his trip from the lamppost to the tree since velocity is dependent on both displacement and time.

Hence, we need additional information, specifically the distance between the lamppost and the tree, to accurately calculate Larry's average velocity.