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Instantaneous Velocity Calculator

# Instantaneous Velocity Calculator

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Instantaneous velocity is the velocity of an object at any given instant of time. Instantaneous velocity is the rate of change of displacement with respect to time. Instantaneous velocity calculator is the online tool which can easily calculate the value of the rate of change of displacement with time.

Example 1: Find instantaneous velocity of an object which has displacement ‘x’
given by the function, x(t) = t2 + 3t at time, t = 4secs.

Given displacement ‘x’ function with respect to time t  x(t)= t2 + 3t

Instantaneous velocity, v(t) = Derivative of x(t)

v(t) = Derivative of (t2 + 3t) with respect to time.

Hence v(t) = 2t + 3

Velocity at the instant, t = 4seconds   v(4) = (2 * 4) + 3

v(4) = 8 + 3 = 11

Instantaneous velocity at t = 4secs 11m/secs

Example 2: Find instantaneous velocity of a particle having displacement ‘x’ given by the function, x(t) = 6t3 at time, t = 2secs.

Given displacement ‘x’ function with respect to time t  x(t)= 6t3

Instantaneous velocity, v(t) = Derivative of x(t)

v(t) = Derivative of 6t3 with respect to time.

Hence v(t) = 18t2

Velocity at the instant, t = 2seconds  v(2) = 18 * 22 = 72

Instantaneous velocity at t = 2secs 72m/secs