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# Under what condition(s) is the magnitude of average velocity of an object equal to its average speed?

CBSE/Class 9/Science/Unit 3-Motion, Force and Work/Motion/NCERT Solutions/Intext Exercise 8.2

Play with Mathematics, Physics and Chemistry

When an object moves in a straight-line path, then the magnitude of distance covered and displacement become same, and average velocity and average speed will be equal.

IIT Bombay'18 grad. IT consultant by profession. Teaching is hobby.

Avg velocity = total displacement/time Avg speed= total distance / time To consider the magnitude take mod on both side. Which means mod of total displacement equals to total distance. So in case of straight line motion |total displacement| = |distance|.

Avg velocity = total displacement/time

Avg speed= total distance / time

To consider the magnitude take mod on both side.

Which means mod of total displacement equals to total distance.

So in case of straight line motion |total displacement| = |distance|.

Experienced Physics and Mathematics tutor

When an object is moving in a straight line and in the same direction, the total distance covered and the total displacement is the same. The average velocity and average speed are then the same.

$\text{Average&space;velocity}&space;=&space;\frac{\text{total&space;displacement}}{\text{total&space;time}}$

$\text{Average&space;speed}&space;=&space;\frac{\text{total&space;distance}}{\text{total&space;time}}$

When an object is moving in a straight line and in the same direction, the total distance covered and the total displacement is the same. The average velocity and average speed are then the same.

If the total distance covered by an object is the same as its displacement, then its average speed would be equal to its average velocity.

If the total distance covered by an object is the same as its displacement, then its average speed would be equal to its average velocity.

When an object moves in a straight-line path in one direction only. Its distance covered, and displacement is the same. So we get the magnitude of ave velocity same as average speed.

Teaching maths and science for 5 years

When the magnitude of displacement done by the object is the same, magnitude of total distance covered and in the same direction than the magnitude of average velocity is equal to the magnitude of average speed. As displacement is a vector quantity and it varies as the direction changes, but the distance...

When the magnitude of displacement done by the object is the same, magnitude of total distance covered and in the same direction than the magnitude of average velocity is equal to the magnitude of average speed. As displacement is a vector quantity and it varies as the direction changes, but the distance covered will not depend on the direction as it will be equal to total path covered. Displacement could be negative , zero,and positive but the distance is always non-negative.

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