21st Century Astronomy
21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 3, Problem 14QP
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As a train accelerates uniformly it passes successive 850 meter marks while traveling at velocities 1.5 m/s and then 15 m/s. a. For the first mark of the journey, what is the acceleration of the train in m/s sq? b. Determine the train's velocity when it passes the next mark in m/s. c. Determine the time it takes to travel the 1.7-km distance in seconds.
A subway train starts from rest at a station and accelerates at 3 m/s2 for 10seconds. It then runs at constant speed for 90 seconds, and then slows down at-4 m/s2 until it stops at the next station.a. What is the train’s velocity after the initial acceleration?b. How far did the train travel during the initial acceleration?c. How many seconds did the train take to decelerate?d. What is the distance between the two stations?
A car travels 21 miles in 20 minutes.a. How many hours did the car spend traveling?b. What was the average velocity of the car in miles per hour during its trip?c. After reaching its destination, suppose the car travels an additional 100 milesover 2.5 hours. Find the average velocity of the car in mph over this second trip.d. Find the average velocity of the car in mph over the combined legs of the trip.e. Draw and label a position vs. time graph showing the trip the car made. Includelines for each leg of the trip as well as the combined journey.f. Compare the slopes of each line. Are any of the average velocities the same?Should they be?
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