Definition of Instantaneous Acceleration
The position of a particle is described by the function x(t) = 4t³ - 3t² + 2t, where x is in meters and t is in seconds. Which of the following expressions represents the instantaneous acceleration of the particle at t = 2 s?
A
[x(3) - x(2)]/1
B
lim(Δt→0) [v(2+Δt) - v(2)]/Δt
C
v(2)/t
D
[x(2) - x(0)]/2
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