APFIVE Definition of Instantaneous Acceleration
A particle moves according to x(t) = 4t³ - 3t² + 2t, where x is in meters and t is in seconds. Which expression best approximates the instantaneous acceleration at t = 2 s?
A
v(2)/t
B
[x(2) - x(0)]/2
C
[x(3) - x(2)]/1
D
lim(Δt→0) [v(2+Δt) - v(2)]/Δt
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