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Look at the graphs (a) to (d) carefully and state, with reasons, which of these cannot possibly represent one-dimensional motion of a particle.


(a) From x-t graph we can find the position of the particle at any instant by drawing the perpendicular on time axis at that instant. From graph, it is clear that there are two different positions of particle at a particular instant which is not possible because position is a single valued function.


(a) From x-t graph we can find the position of the particle at any in

(b) Since velocity is a single valued function, therefore at any instant, the particle cannot have two different velocities, hence the graph cannot represent motion.

(c) Since speed is magnitude of velocity which cannot be negative, therefore, graph is not possible.

(d) Total length of path travelled by particle cannot decrease with the time. Therefore, graph is not possible.

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Read each statement carefully and state if it is true or false:

A particle in one dimensional motion:

(a) with zero speed at an instant may have non-zero acceleration at that instant;

(b) with zero speed may have non-zero velocity;

(c) with constant speed must have zero acceleration;

(d) with positive value of acceleration must be speeding up.


A player throws a ball upwards with an initial speed of 29.4 m s-1
What are the velocity and acceleration of the ball at the highest point of its motion ?

A player throws a ball upwards with an initial speed of 29.4 m s-1.

(a) What is the direction of acceleration during the upward motion of the ball ?

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


A.

(a) with zero speed at an instant may have non-zero acceleration at that instant


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