A particle has arbitrary motion in the space. Which of the following statements are true or false?(i)  Total length of path is always equal to magnitude of displacement of particle.(ii)  Average speed is always less than instantaneous speed.(iii) Position of particle at any instant is given by (iv) Average acceleration of motion is zero if initial and Final velocity of a particle is same. from Physics Motion in A Plane Class 11 Manipur Board
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Motion in A Plane

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Physics Part I

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Physics

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Class 10 Class 12

A particle has arbitrary motion in the space. Which of the following statements are true or false?
(i)  Total length of path is always equal to magnitude of displacement of particle.
(ii)  Average speed is always less than instantaneous speed.
(iii) Position of particle at any instant is given by straight r with rightwards arrow on top equals stack straight r subscript 0 with rightwards arrow on top plus straight u with rightwards arrow on top straight t plus 1 half straight a with rightwards arrow on top straight t squared.
(iv) Average acceleration of motion is zero if initial and Final velocity of a particle is same.


(i) False, the total length of path is either greater or equal to magnitude of displacement. This statement is true only if the particle is moving in a straight path.

(ii) False, average speed may be less, equal or greater than the speed at any instant.

(iii) False, the given relation is true only for uniform accelerated motion.

(iv)True. For a particle moving with a constant velocity, acceleration will remain the same. 

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Give three examples of scalar quantities.

Mass, temperature and energy
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Give three examples of vector quantities.

Force, impulse and momentum.
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What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors. 


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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
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What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
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