9. A student took 15 minutes to cycle from his house to school. He starts from rest and reaches a maximum speed of 4.0 m s¹ in 5.0 minutes at constant acceleration. After reaching the maximum speed, he decelerates uniformly to 2.0 m s¹ in 3.0 minutes and continues cycling with this speed for 5.0 minutes. He then took 2.0 minutes to decelerate uniformly to stop. (i) Sketch a labelled graph of speed versus time for the whole journey. (ii) Calculate the acceleration of the bicycle for the time segments of 0-5 minutes and 13-15 minutes. [ 0.013 ms2,-0.017 ms ²] (iii) Determine the total distance from his house to school. [ 1860 m ]

9. A student took 15 minutes to cycle from his house to school. He starts from rest and reaches a maximum speed of 4.0 m s¹ in 5.0 minutes at constant acceleration. After reaching the maximum speed, he decelerates uniformly to 2.0 m s¹ in 3.0 minutes and continues cycling with this speed for 5.0 minutes. He then took 2.0 minutes to decelerate uniformly to stop. (i) Sketch a labelled graph of speed versus time for the whole journey. (ii) Calculate the acceleration of the bicycle for the time segments of 0-5 minutes and 13-15 minutes. [ 0.013 ms2,-0.017 ms ²] (iii) Determine the total distance from his house to school. [ 1860 m ]

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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Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

9.
A student took 15 minutes to cycle from his house to school. He starts from rest and
reaches a maximum speed of 4.0 m s¹ in 5.0 minutes at constant acceleration. After
reaching the maximum speed, he decelerates uniformly to 2.0 m s¹ in 3.0 minutes
and continues cycling with this speed for 5.0 minutes. He then took 2.0 minutes to
decelerate uniformly to stop.
(i)
(ii)
Sketch a labelled graph of speed versus time for the whole journey.
Calculate the acceleration of the bicycle for the time segments of 0-5 minutes
and 13-15 minutes. [ 0.013 m s -²,-0.017 ms -²]
(iii) Determine the total distance from his house to school. [ 1860 m ]

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