Question

What is the mathematical formula for instantaneous velocity?

Options

• v = \[\frac {Δx}{Δt}\]

• v = \[\frac {dx}{dt}\]

• v = \[\frac {\text{Distance}}{\text{Time}}\]

• v = \[\frac{\text{Change in speed}}{\text{Change in time}}\]

Answer 1

v = \[\frac {dx}{dt}\]

Explanation:

The formula v = \[\frac {dx}{dt}\] represents the derivative of displacement with respect to time, which is the mathematical definition of instantaneous velocity.