Answer detailly 5(ii) 5. (i) A car starts from rest at a point A and accelerates uniformly at 3x ms-2 until it reaches a speed of30 ms-1. It maintains this speed for the next / seconds and retards uniformly at x ms-2 to rest at the puintB. The distance between A and B is 6 km and the time taken from A to B is 5 minutes.40(a) Show that + 21 = 400.(b) Find the values of t and x.(ii) A particle moves along a straight line so that at time ts its speed v ms-1 and.its distance x m from a fixedpoint O on the line are given byv =(5x + 3) ms-1.Given that initially the particle was at O, show that the time taken by the particle to move a distance of 9 mfrom O is In 4.

Answered: Image /qna-images/answer/9f210964-2780-45e4-a7ba-6f48aae396dc.jpg

(ii) A particle moves along a straight line so that at time t s its speed v ms-1 and. its distance x m from a fixed point O on the line are given by v =(5x +3) ms“1., Given that initially the particle was at O, show that the time taken by the particle to move a distance of 9 m from O is In 4.

(ii) A particle moves along a straight line so that at time t s its speed v ms-1 and. its distance x m from a fixed point O on the line are given by v =(5x +3) ms“1., Given that initially the particle was at O, show that the time taken by the particle to move a distance of 9 m from O is In 4.

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

Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.

Question

Answer detailly 5(ii)

5. (i) A car starts from rest at a point A and accelerates uniformly at 3x ms-2 until it reaches a speed of
30 ms-1. It maintains this speed for the next / seconds and retards uniformly at x ms-2 to rest at the puint
B. The distance between A and B is 6 km and the time taken from A to B is 5 minutes.
40
(a) Show that + 21 = 400.
(b) Find the values of t and x.
(ii) A particle moves along a straight line so that at time ts its speed v ms-1 and.its distance x m from a fixed
point O on the line are given by
v =(5x + 3) ms-1.
Given that initially the particle was at O, show that the time taken by the particle to move a distance of 9 m
from O is In 4.

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