Give the definition, unit and equation of speed? Give the definition and equation and explanation of average and instantaneous spped?
Answers
Explanation:
In simple words, the velocity of an object at that instant of time. Instantaneous velocity definition is given as “The velocity of an object under motion at a specific point of time.”
If the object possesses uniform velocity then the instantaneous velocity may be the same as its standard velocity.
Instantaneous Velocity
It is determined very similarly as that of average velocity, but here time period is narrowed. We know that the average velocity for a given time interval is total displacement divided by total time. As this time interval approaches zero, the displacement also approaches zero. But the limit of the ratio of displacement to time is non-zero and is called instantaneous velocity.
Instantaneous Velocity Formula
The instantaneous velocity formula is given by
Vi=limΔt→0dsdt
Where,
Δt is the small-time interval.
Vi is the instantaneous velocity.
s is the displacement.
t is the time.
Unit of Instantaneous Velocity
The SI unit of instantaneous velocity is m/s. It is a vector quantity. It can also be determined by taking the slope of the distance-time graph or x-t graph.
Instantaneous Velocity Example
If the displacement of the particle varies with respect to time and is given as (6t2 + 2t + 4) m, the instantaneous velocity can be found out at any given time by:
s = (6t2 + 2t + 4)
Velocity (v) = dsdt = d(6t2+2t+4)dt = 12t + 2
So, if we have to find out the instantaneous velocity at t = 5 sec, then we will put the value of t in the obtained expression of velocity.
Instantaneous velocity at t = 5 sec = (12×5 + 2) = 62 m/s
Let us calculate the average velocity now for 5 seconds now.
Displacement = (6×52 + 2×5 + 4) = 164 m
Average velocity = 1645 = 32.8 m/s
Instantaneous Speed
We know that the average speed for a given time interval is the total distance traveled divided by the total time taken. As this time interval approaches zero, the distance traveled also approaches zero. But the limit of the ratio of distance and time is non-zero and is called the instantaneous speed. To understand it in simple words we can also say that instantaneous speed at any given time is the magnitude of instantaneous velocity at that time.
Instantaneous Speed Formula
The instantaneous speed formula is given by
Speed(i)=dsdt
Where,
ds is the distance
dt is the time interval
Speed(i) is the instantaneous speed
Unit of Instantaneous Speed
The SI unit of instantaneous speed m/s. It is a scalar quantity. Instantaneous velocity can be linear velocity or angular velocity
Instantaneous Speed Example
If distance as a function of time is known to us, we can find out the instantaneous speed at any time. Let’s understand this by the means of an example.
Let Distance (s) = 5t3 m
Substitute it in the formula Speed(i)=dsdt we get-
Speed(i)=d5t3dt
= 15t²
We can now easily find the instantaneous speed at any given time by putting the value of t in this obtained expression.
Answer:
Speed is distance per unit time
S. I. Unit : m/s
Other units : cm/s, km/h, etc.
Speed =distance /time
V=s/t
Average speed is total distance covered in total time
Instantaneous speed is speed at a given instant
Hope it helps
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