Question

derivation of formula of instantaneous velocity in projectile motion...??​

Answer 1

Instantaneous Velocity Formula

Velocity is a measure of how quickly an object moves from one position to another. If an object is accelerating or decelerating, the velocity of the object changes with time. The instantaneous velocity of an object is the velocity at a certain instant of time. Velocity is the change in position divided by the change in time, and the instantaneous velocity is the limit of velocity as the change in time approaches zero. This is equivalent to the derivative of position with respect to time. Instantaneous velocity is a vector, and so it has a magnitude (a value) and a direction. The unit for instantaneous velocity is meters per second (m/s).

 = instantaneous velocity (m/s)

= vector change in position (m)

Δt = change in time (s)

 = derivative of vector position with respect to time (m/s)

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Answer 2

Explanation:

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: v(t)=ddtx(t). v ( t ) = d d t x ( t ) . Like average velocity, instantaneous velocity is a vector with dimension of length per time.

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