Pi 5 Only Responses: DNS (Domain Name System) is a global system that translates human-readable domain names into IP addresses, which computers can use to locate and communicate with each other on the internet. The DNS system works by breaking down domain names into smaller and smaller sections, each of which is associated with a different server. When a domain name is entered into a computer's address bar, the computer first checks the DNS cache, which stores the previously queried domain names. If the cache contains the information, the computer retrieves it quickly and does not request the domain name from a DNS server. If the cache does not contain the information, the computer then queries a DNS resolver, which is essentially a special-purpose server that listens for DNS requests and forwards them to the appropriate authoritative server. The authoritative server then responds with the domain name's IP address, which the resolver caches for future use. The resolver then sends the IP address back to the computer, which can use it to connect to the domain's website or other internet resources. The TTL (Time To Live) value is a measure of how long a DNS entry should be stored in the DNS cache before being overwritten. This helps to reduce the number of queries a user has to make to the DNS servers, as they are only queried when the TTL expires. Overall, the DNS system is a crucial part of the internet's ability to function as a global network, allowing users to access websites and other resources without having to memorize complex IP addresses. To solve this problem, we will use the equations of motion under constant acceleration due to gravity. The equations are as follows: 1. \( s = ut + \frac{1}{2}at^2 \) 2. \( v = u - gt \) 3. \( v^2 = u^2 - 2gs \) Where: - \( s \) is the displacement - \( u \) is the initial velocity - \( v \) is the final velocity - \( g \) is the acceleration due to gravity (9.8 m/s²) - \( t \) is the time ### 1. Time until it reaches the top At the top, the ball momentarily stops, so \( v = 0 \) m/s. We can use the second equation of motion to find the time: \[ v = u - gt \] Plugging in the known values: \[ 0 = 14 - 9.8t \] Solving for \( t \): \[ 9.8t = 14 \] \[ t = \frac{14}{9.8} \approx 1.43 \text{ seconds} \] So, it takes approximately 1.43 seconds for the ball to reach the top. ### 2. Maximum height reached At the top, the ball has zero velocity. We can use the first equation of motion to find the maximum height \( s \): \[ v^2 = u^2 - 2gs \] Plugging in the known values: \[ 0 = 14^2 - 2 \cdot 9.8 \cdot s \] Solving for \( s \): \[ 0 = 196 - 19.6s \] \[ 19.6s = 196 \] \[ s = \frac{196}{19.6} = 10 \text{ meters} \] So, the maximum height reached is 10 meters. ### 3. Time until it returns to the ground The ball will return to the ground when it has traveled the same distance it initially traveled (downwards) plus the initial height it was thrown from (0 meters). This means it will take the same time as it took to reach the top on the way down. Since it takes 1.43 seconds to reach the top, it will take another 1.43 seconds to fall back down to the ground. So, it will take a total of: \[ 1.43 + 1.43 = 2.86 \text{ seconds} \] Therefore, the time until the ball returns to the ground is approximately 2.86 seconds. ### Summary: 1. Time until it reaches the top: **1.43 seconds** 2. Maximum height reached: **10 meters** 3. Time until it returns to the ground: **2.86 seconds** In this blog post, we'll be comparing three different local language models (LLMs) running on three Raspberry Pi devices: a standard Raspberry Pi 5, a Pi with the Hailo AI HAT+, and an N100 mini PC. We'll evaluate their performance, including their speed, privacy, and cost-effectiveness. This comparison will help you choose the best LLM for your needs, whether you're a developer, a content creator, or simply someone looking for a reliable language model without the need for internet access.