4-3- Velocity and acceleration and other rates of changes :- The average velocity of a body moving along a line is :Asf(t+At)- f(t) _ displacementAtAttime travelledThe instantaneous velocity of a body moving along a line isthe derivative of its position s =f(t) with respect to timet.Asds-= limA0 Ati.e. v=dt- The rate at which the particle's velocity increase is called itsacceleration a . If a particle has an initial velocity v and aconstant acceleration a, then its velocity after time t is v + at .Avaverage acceleration = a_ =AtThe acceleration at an instant is the limit of the averageacceleration for an interval following that instant , as theinterval tends to zero .Ava = limAti.e.- The average rate of a change in a function y=f(x) over theinterval from x tof(x+4x)- f(x)average rate of change = -The instantaneous rate of change of f at x is the derivative.f(x+4x)- ƒ(x)f'(x)= limprovided the limit exists .EX-3- The position s ( in meters ) of a moving body as afunction of time t (in second ) is : s= 2t' + 5t – 3 ; find :a) The displacement and average velocity for the timeinterval from t = 0 to t = 2 seconds.b) The body's velocity at t = 2 seconds .o Water Nw

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Description: 4-3- Velocity and acceleration and other rates of changes :- The average velocity of a body moving along a line is :Asf(t+At)- f(t) _ displacementAtAttime travelledThe instantaneous velocity of a body moving along a line isthe derivative of its posi

3) position of a body is given by : x(t) = 2t2 + 5t - 3

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Physics

EX-3- The position s (in meters ) of a moving body as a function of time t (in second ) is : s= 2t' + 5t - 3 ; find : a) The displacement and average velocity for the time interval from 1=0 to t=2 seconds. b) The body's velocity at 1=2 seconds. %3D

EX-3- The position s (in meters ) of a moving body as a function of time t (in second ) is : s= 2t' + 5t - 3 ; find : a) The displacement and average velocity for the time interval from 1=0 to t=2 seconds. b) The body's velocity at 1=2 seconds. %3D

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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