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.**
Keep practising Unit 1A: Kinematics: 1D Motion, Position & Velocity
Browse all Unit 1A: Kinematics: 1D Motion, Position & Velocity questions for AP Physics 1, or explore more Physics topics.
Related questions
The audible range of frequencies for a normal human ear is approximately:The loudness of a sound is related to its:The pitch of a sound is determined primarily by its:The maximum displacement of particles from their mean position is called the:If the frequency of a wave is f and its wavelength is λ, its speed v is given by:The time taken for one complete oscillation is the:The SI unit of frequency is the:The number of complete oscillations per second is called the: