A hungry hummingbird flies forward and backward. Its motion is shown on the following graph of horizontal position æ vs. time t. x(m) 2- 1- → t(s) 12 6 10 What is the instantaneous velocity of the hummingbird at t = 1 s? 4. 2)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Description:**
This image presents a mathematical problem involving a graph which depicts the horizontal position \( x \) in meters (m) versus time \( t \) in seconds (s) for a moving hummingbird. The task involves calculating the instantaneous velocity of the hummingbird at a specific time.

**Graph Details:**
- The horizontal axis represents time \( t \) in seconds, ranging from 0 to 12 seconds.
- The vertical axis represents position \( x \) in meters, ranging from 0 to 3 meters.
- The graph consists of a series of linear segments forming a trapezoidal shape:
  - From \( t = 0 \) to \( t = 2 \), the line slopes upward, reaching \( x = 2 \, \text{m} \).
  - From \( t = 2 \) to \( t = 8 \), the position remains constant at \( x = 2 \, \text{m} \).
  - From \( t = 8 \) to \( t = 12 \), the line slopes downward, reaching back to \( x = 0 \, \text{m} \).

**Problem Statement:**
The problem asks: "What is the instantaneous velocity of the hummingbird at \( t = 1 \, \text{s} \)?" 
- Multiple-choice options for the answer are not provided in the image.
Transcribed Image Text:**Description:** This image presents a mathematical problem involving a graph which depicts the horizontal position \( x \) in meters (m) versus time \( t \) in seconds (s) for a moving hummingbird. The task involves calculating the instantaneous velocity of the hummingbird at a specific time. **Graph Details:** - The horizontal axis represents time \( t \) in seconds, ranging from 0 to 12 seconds. - The vertical axis represents position \( x \) in meters, ranging from 0 to 3 meters. - The graph consists of a series of linear segments forming a trapezoidal shape: - From \( t = 0 \) to \( t = 2 \), the line slopes upward, reaching \( x = 2 \, \text{m} \). - From \( t = 2 \) to \( t = 8 \), the position remains constant at \( x = 2 \, \text{m} \). - From \( t = 8 \) to \( t = 12 \), the line slopes downward, reaching back to \( x = 0 \, \text{m} \). **Problem Statement:** The problem asks: "What is the instantaneous velocity of the hummingbird at \( t = 1 \, \text{s} \)?" - Multiple-choice options for the answer are not provided in the image.
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