They are completely different. To understand them clearly you need to have the clear knowledge of difference between distance and displacement. If you have skip the next paragraph. If not then read it.
Distance is the actual path covered by a body in any direction while the displacement is the shortest path between the initial and final position if a body. Distance is a scalar quantity while displacememt is a vector quantity. A scalar quantity means a physical quantity which have only magnitude but no direction while a vector quantity means a quantity which have both magnitude as well as direction.
In some cases, it is also possible that the distance and displacement are same and that happen when something is moving on a straight path and only in ine direction.
Also, displacement is always equal or less than distance. In addition to this, distance can only be zero or postive while displacement can be zero, positive as well as negative.
Now, coming to your question,
Speed is the distance covered by a body per unit time.
Speed = distance / time .
As I wrote above, distance is a scalar quantity, therefore, speed is also a scalar quantity.
Velocity is the displacement covered by a body per unit time.
Velocity = displacement / time.
Similarly, since displacement is a vector quantity , so velocity is also vector.
Likewise distance and displacement, velocity is always smaller than or equal to speed. Also, like distance, speed can only be zero or positive. Likewise displacement, velocity can be negative, zero or positive.
Velocity and displacement can be negative when a body move against the direction which is taken. Like a body moves 20 m in south in relation to north. Therefore, displacement is -20m. Let the body take 1 sec to cover th distance. Therefore, velocity is equal to -20m/s.
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Explanation:
They are completely different. To understand them clearly you need to have the clear knowledge of difference between distance and displacement. If you have skip the next paragraph. If not then read it.
Distance is the actual path covered by a body in any direction while the displacement is the shortest path between the initial and final position if a body. Distance is a scalar quantity while displacememt is a vector quantity. A scalar quantity means a physical quantity which have only magnitude but no direction while a vector quantity means a quantity which have both magnitude as well as direction.
In some cases, it is also possible that the distance and displacement are same and that happen when something is moving on a straight path and only in ine direction.
Also, displacement is always equal or less than distance. In addition to this, distance can only be zero or postive while displacement can be zero, positive as well as negative.
Now, coming to your question,
Speed is the distance covered by a body per unit time.
Speed = distance / time .
As I wrote above, distance is a scalar quantity, therefore, speed is also a scalar quantity.
Velocity is the displacement covered by a body per unit time.
Velocity = displacement / time.
Similarly, since displacement is a vector quantity , so velocity is also vector.
Likewise distance and displacement, velocity is always smaller than or equal to speed. Also, like distance, speed can only be zero or positive. Likewise displacement, velocity can be negative, zero or positive.
Velocity and displacement can be negative when a body move against the direction which is taken. Like a body moves 20 m in south in relation to north. Therefore, displacement is -20m. Let the body take 1 sec to cover th distance. Therefore, velocity is equal to -20m/s.