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A man is running at speed Uman to catch a bus already at a stop, as shown in (Figure 1). At t= 0, when he is a distance d from the door to the bus, the bus starts moving with the positive acceleration abus. Use a coordinate system with = 0 at the door of the stopped bus.

A man is running at speed Uman to catch a bus already at a stop, as shown in (Figure 1). At t= 0, when he is a distance d from the door to the bus, the bus starts moving with the positive acceleration abus. Use a coordinate system with = 0 at the door of the stopped bus.

Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
Section: Chapter Questions
Problem 3.61AP: Lei A = 60.0 cm at 270 measured from the horizontal. Let B = 80.0 cm at some angle . (a) Find the...
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X MyLab and Mastering ysics од Course Home <ch 2 Course Home A Man Running to Catch a Bus Figure Google https://openvellum.ecollege.com/course.html?courseld=17418208&OpenVellumHMAC=53da1 PH 211 U2022 A man is running at speed Uman to catch a bus already at a stop, as shown in (Figure 1). At t= 0, when he is a distance d from the door to the bus, the bus starts moving with the positive acceleration abus. Use a coordinate system with = 0 at the door of the stopped bus. < X 1 of 1 > YouTube ▼ Part A What is Iman (t), the position c Answer symbolically in term View Available Hint(s) Iman (t)= -d+umant Submit Previous Ansv ✓ Correct Part B What is bus (t), the positio Answer symbolically in te View Available Hintfel H
Transcribed Image Text:X MyLab and Mastering ysics од Course Home <ch 2 Course Home A Man Running to Catch a Bus Figure Google https://openvellum.ecollege.com/course.html?courseld=17418208&OpenVellumHMAC=53da1 PH 211 U2022 A man is running at speed Uman to catch a bus already at a stop, as shown in (Figure 1). At t= 0, when he is a distance d from the door to the bus, the bus starts moving with the positive acceleration abus. Use a coordinate system with = 0 at the door of the stopped bus. < X 1 of 1 > YouTube ▼ Part A What is Iman (t), the position c Answer symbolically in term View Available Hint(s) Iman (t)= -d+umant Submit Previous Ansv ✓ Correct Part B What is bus (t), the positio Answer symbolically in te View Available Hintfel H
Inserting the formulas you found for man (t) and bus (t) into the condition man (tcatch) Tbus (tcatch), you obtain the following: abustcatch, or abust2atch - Umantcatch + d = 0. Intuitively, the man will not catch the bus unless he is running fast enough. In mathematical terms, there is a constraint on the man's speed Uman so that the equation above gives a solution for tcatch that is a real positive number. Find Uman,min, the minimum value of Uman for which the man will catch the bus. Express the minimum value for the man's speed in terms of abus and d. -d+Umantcatch = 2
Transcribed Image Text:Inserting the formulas you found for man (t) and bus (t) into the condition man (tcatch) Tbus (tcatch), you obtain the following: abustcatch, or abust2atch - Umantcatch + d = 0. Intuitively, the man will not catch the bus unless he is running fast enough. In mathematical terms, there is a constraint on the man's speed Uman so that the equation above gives a solution for tcatch that is a real positive number. Find Uman,min, the minimum value of Uman for which the man will catch the bus. Express the minimum value for the man's speed in terms of abus and d. -d+Umantcatch = 2
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