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(a)] How is the average speed of an object speed and velocity? Explain any symbols that you use. (b) pos] Give an example of a situation in which the average speed of an object is greater in than the magnitude of its average velocity. (c) [pos] The "2" subway train from Manhattan to Flatbush Avenue is approaching the final station (Flatbush Avenue) but has stopped on the tracks somewhere outside of Flatbush Avenue. The graph shows the train's velocity as a function of time, from the point just after it begins to move again, up to the point at which it comes to rest at the Flatbush Avenue station. The positive direction of velocity and displacement is from Manhattan to Flatbush Avenue along the track. Velocity in miles per hour 30 25 20 15 10 5 0 and 10 20 30 * 40 Time (seconds) 50 60 70 80 90 100 Give both the magnitude and sign of each of your numerical answers. (i) What is the train's acceleration from 0 to 10 seconds? And what is its acceleration from 83-89 s? (ii) What is the total displacement of the train from its position at time = zero seconds on the graph? Give your answer in meters, using the conversion 1609 meters = 1 mile. ii) What is the average velocity (in m/s) of the train over the whole 89-second journey in the roph?

(a)] How is the average speed of an object speed and velocity? Explain any symbols that you use. (b) pos] Give an example of a situation in which the average speed of an object is greater in than the magnitude of its average velocity. (c) [pos] The "2" subway train from Manhattan to Flatbush Avenue is approaching the final station (Flatbush Avenue) but has stopped on the tracks somewhere outside of Flatbush Avenue. The graph shows the train's velocity as a function of time, from the point just after it begins to move again, up to the point at which it comes to rest at the Flatbush Avenue station. The positive direction of velocity and displacement is from Manhattan to Flatbush Avenue along the track. Velocity in miles per hour 30 25 20 15 10 5 0 and 10 20 30 * 40 Time (seconds) 50 60 70 80 90 100 Give both the magnitude and sign of each of your numerical answers. (i) What is the train's acceleration from 0 to 10 seconds? And what is its acceleration from 83-89 s? (ii) What is the total displacement of the train from its position at time = zero seconds on the graph? Give your answer in meters, using the conversion 1609 meters = 1 mile. ii) What is the average velocity (in m/s) of the train over the whole 89-second journey in the roph?

College Physics
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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**Motion in One Dimension** (a) **Question:** How is the average speed of an object defined and what is the difference between speed and velocity? Explain any symbols that you use. (b) **Question:** Give an example of a situation in which the average speed of an object is greater than the magnitude of its average velocity. (c) **Question:** The "2" subway train from Manhattan to Flatbush Avenue is approaching the final station (Flatbush Avenue) but has stopped on the tracks somewhere outside of Flatbush Avenue. The graph shows the train's velocity as a function of time, from the point just after it begins to move again, up to the point at which it comes to rest at the Flatbush Avenue station. The positive direction of velocity and displacement is from Manhattan to Flatbush Avenue along the track. **Graph Description:** - The graph is a velocity versus time graph with velocity (in miles per hour) on the y-axis and time (in seconds) on the x-axis. - At time 0 seconds, the velocity is 0 mph. - From 0 to 10 seconds, the velocity increases linearly to 25 mph. - From 10 to 50 seconds, the velocity remains constant at 25 mph. - From 50 to 83 seconds, the velocity decreases linearly to 0 mph. - At 83 seconds, the train comes to a stop and remains stopped for the next 6 seconds until the graph ends at 89 seconds. **Questions:** (i) What is the train's acceleration from 0 to 10 seconds? And what is its acceleration from 83 to 89 seconds? (ii) What is the total displacement of the train from its position at time = zero seconds on the graph? Give your answer in meters, using the conversion 1609 meters = 1 mile. (iii) What is the average velocity (in m/s) of the train over the whole 89-second journey in the graph?
Transcribed Image Text:**Motion in One Dimension** (a) **Question:** How is the average speed of an object defined and what is the difference between speed and velocity? Explain any symbols that you use. (b) **Question:** Give an example of a situation in which the average speed of an object is greater than the magnitude of its average velocity. (c) **Question:** The "2" subway train from Manhattan to Flatbush Avenue is approaching the final station (Flatbush Avenue) but has stopped on the tracks somewhere outside of Flatbush Avenue. The graph shows the train's velocity as a function of time, from the point just after it begins to move again, up to the point at which it comes to rest at the Flatbush Avenue station. The positive direction of velocity and displacement is from Manhattan to Flatbush Avenue along the track. **Graph Description:** - The graph is a velocity versus time graph with velocity (in miles per hour) on the y-axis and time (in seconds) on the x-axis. - At time 0 seconds, the velocity is 0 mph. - From 0 to 10 seconds, the velocity increases linearly to 25 mph. - From 10 to 50 seconds, the velocity remains constant at 25 mph. - From 50 to 83 seconds, the velocity decreases linearly to 0 mph. - At 83 seconds, the train comes to a stop and remains stopped for the next 6 seconds until the graph ends at 89 seconds. **Questions:** (i) What is the train's acceleration from 0 to 10 seconds? And what is its acceleration from 83 to 89 seconds? (ii) What is the total displacement of the train from its position at time = zero seconds on the graph? Give your answer in meters, using the conversion 1609 meters = 1 mile. (iii) What is the average velocity (in m/s) of the train over the whole 89-second journey in the graph?
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