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State True or False:
A particle in one-dimensional motion

A.

With positive value of acceleration must be speeding up.


A. FALSE
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State True or False:
A particle in one dimensional motion:

A.

with constant speed must have zero acceleration

A. TRUE
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State True or Flase: 
A particle in one-dimensional motion

A.

With zero speed may have non-zero velocity.

A. FALSE
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A ball is dropped from a height of 90 m on a floor. At each collision with the floor,  the ball loses one tenth of its speed. Plot the speed-time graph of its motion between t = 0 to 12 s.

 

Speed-time graph for the ball is as shown below: 



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Explain clearly, with examples, the distinction between :
(a) magnitude of displacement (sometimes called distance) over an interval of time,
and the total length of path covered by a particle over the same interval


The magnitude of displacement over an interval of time is the shortest distance (which is a straight line) between the initial and final positions of the particle.

The actual path length covered by the particle in a given interval of time is the total length of the path covered by the particle. 



Consider, for example, a particle moves from point A to point B and then, comes back to a point, C taking a total time t. 

Displacement of the particle = AC 

Total path length = AB + BC

Magnitude of displacement can never be greater than the total path length. However, in some cases, both quantities are equal to each other.
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