Instantaneous velocity $v(t)$ is given mathematically by
A$v(t)=\dfrac{dx(t)}{dt}$
B$v(t)=\dfrac{dv(t)}{dt}$
C$v(t)=\dfrac{x(t)}{t}$ for all motion
D$v(t)=\dfrac{d^2x(t)}{dt^2}$
Answer & Solution
Correct answer: A. $v(t)=\dfrac{dx(t)}{dt}$
The instantaneous velocity is the derivative of displacement with respect to time: $v(t)=\dfrac{dx(t)}{dt}$. Option B is acceleration, and option D is the second derivative of position, also acceleration.
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