Question

define instanteous velocity mathematically​

Answer 1

The instantaneous velocity of an object is the limit of the average velocity as the elapsed time approaches zero, or the derivative of x with respect to t.

Answer 2

Answer:

$\huge\bf{AnsWER}$

In the 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

$</p><p></p><p>Vi=limΔt→0 \frac{ds}{dt} </p><p></p><p> </p><p></p><p>$

Where,

• Δt is the small-time interval.
• Vi is the instantaneous velocity.
• s is the displacement.
• t is the time.