Read each statement below carefully and state if it is true or false, and select the correct
option. Particles in one-dimensional motion
(I) with zero speed at an instant may have non-zero acceleration at that instant
(II) with zero speed may have non-zero velocity
(III) with constant speed must have zero acceleration
(IV) with positive value of acceleration must be speeding up
Text Solution
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(I) A particle at highest point in motion under gravity a is rate of change of velocity, Ex. v
but v at 
is zero. True, when an object is thrown vertically up in the air, its speed becomes zero at maximum height. However, it has acceleration equal to g that acts in downward direction
(II) 
speed 
both are zero simultaneously.
(III) Since it is 1-D motion, if it has acceleration, then speed must change.
(IV) If the velocity of an object is negative, then it is slowing down. Speed up or slow down depends on ( 
) sign.
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