.A multiple choice question. (a) By definition, velocity equals the change in position divided by the time to change the position. The instantaneous velocity v = dx/dt is (i) the slope of the position x versus time t at any instant, (ii) the area under the x versus t curve up to that instant, (iii) the slope of the acceleration a versus time t at any instant. (b) Since v = dx/dt, by separation of variables dx = v dt or ſdx = Sv dt. Thus the distance moved in time t is (i) the slope of the velocity v versus time t at any instant (ii) the area under the velocity v versus time t curve up to time t (iii) the area under the acceleration a versus time t curve up to time t. (c) By definition, instantaneous acceleration a = dv/dt or (i) the slope of the position x versus time t at any instant, (ii) the slope of the velocity v versus time t at any instant, (ii) the area under the velocity v versus time t curve up to time t. (d) Since a = dv/dt, by separation of variables dv = a dt or Sdv fa dt. Thus the change in velocity up to time t is (i) the slope of the velocity v versus time t at any instant, (ii) the area under the velocity v versus time t curve up to time t, (iii) the area under the acceleration a versus time t curve up to time t.
.A multiple choice question. (a) By definition, velocity equals the change in position divided by the time to change the position. The instantaneous velocity v = dx/dt is (i) the slope of the position x versus time t at any instant, (ii) the area under the x versus t curve up to that instant, (iii) the slope of the acceleration a versus time t at any instant. (b) Since v = dx/dt, by separation of variables dx = v dt or ſdx = Sv dt. Thus the distance moved in time t is (i) the slope of the velocity v versus time t at any instant (ii) the area under the velocity v versus time t curve up to time t (iii) the area under the acceleration a versus time t curve up to time t. (c) By definition, instantaneous acceleration a = dv/dt or (i) the slope of the position x versus time t at any instant, (ii) the slope of the velocity v versus time t at any instant, (ii) the area under the velocity v versus time t curve up to time t. (d) Since a = dv/dt, by separation of variables dv = a dt or Sdv fa dt. Thus the change in velocity up to time t is (i) the slope of the velocity v versus time t at any instant, (ii) the area under the velocity v versus time t curve up to time t, (iii) the area under the acceleration a versus time t curve up to time t.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Transcribed Image Text:. A multiple choice question. (a) By definition, velocity equals the change in position
divided by the time to change the position. The instantaneous velocity v = dx/dt is
(i) the slope of the position x versus time t at any instant, (ii) the area under the x
versus t curve up to that instant, (ii) the slope of the acceleration a versus timet
at any instant. (b) Since v = dx/dt, by separation of variables dx = v dt or fdx =
Sv dt. Thus the distance moved in time t is (i) the slope of the velocity v versus
time t at any instant (ii) the area under the velocity v versus time t curve up to
time t (ii) the area under the acceleration a versus time t curve up to time t. (c) By
definition, instantaneous acceleration a = dv/dt or (i) the slope of the position x
versus time t at any instant, (ii) the slope of the velocity v versus time t at any
instant, (ii) the area under the velocity v versus time t curve up to time t. (d) Since
a = dv/dt, by separation of variables dv = a dt or Sdv = fa dt. Thus the change in
velocity up to time t is (i) the slope of the velocity v versus time t at any instant,
(ii) the area under the velocity v versus time t curve up to time t, (iii) the area
under the acceleration a versus time t curve up to time t.
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