The x-t graph for motion of a car is given below. With reference to the graph which of the
given statement(s) is/are correct?
(I) The instantaneous speed during the interval 
to 
is negative at all time instants during the interval.
(II) The velocity and the average velocity for the interval 
to 
are equal and positive.
(III) The car changes its direction of motion at 
(IV) The instantaneous speed and the instantaneous velocity is positive at all time instants during the interval 
to 
Choose the correct option:
Text Solution
Verified by ExpertsD
I. The instantaneous speed is always positive as it is the magnitude of the velocity at an
instant.
II. For 
to 
, the motion is uniform. So, the average velocity and the instantaneous velocity are equal.
III. During 
to 
. The slope of the graph is positive; hence the average velocity and the velocity both are positive. During 
to 
. The slope of the graph is negative, hence the velocity is negative.
Since, there is change in sign of velocity at 
the car changes its direction at that instant.
IV. In figure, instantaneous velocity during 
to 
is positive Also, the speed is always a positive value.
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