Question

Which of these statement(s) is/are correct?

• A. Instantaneous Velocity = Rate of change of position with time
• B. Instantaneous Velocity = $\frac{\text{Infinitesimal Displacement}}{\text{Infinitesimal Time Interval}}$
• C. Instantaneous Velocity = Slope of tangent at a point on $x-t$ graph
• D. Instantaneous Velocity = $\frac{\text{Total Displacement}}{\text{Total Time Taken}}$

Answer 1

Answer: (A), (B), (C)

Instantaneous Velocity = Slope of tangent at a point on $x-t$ graph

Instantaneous Velocity = Rate of change of position with time = $\frac{dx}{dt}$
where $dx$ is infinitesimal displacement and $dt$ is infinitesimal time interval.

Also, slope of $x-t$ graph $=\text{tan}\theta =\frac{dx}{dt}$
Hence, option (a), (b) and (c) are correct.