If represents the position of a particle at time

MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics

Problem

If s(t)s(t) represents the position of a particle at time tt, which one of the following expressions gives its instantaneous acceleration? (a) s(t+Δt)−s(t)Δt\dfrac{s(t+\Delta t)-s(t)}{\Delta t} (b) s′′(t)s''(t) (c) ∫s(t) dt\displaystyle \int s(t)\,dt (d) s′(t)s'(t)

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