A particle has acceleration A is not equal to 0 at t=m.Which one(or more) of the following equations can never represent the particle's motion.
A.x(t)=t^2+sqrt2 x 12412
B.x(t)=3t+pi
C.x(t)=t^1000-t^999+t^998-t^997..........+t^2-t^1
D.x(t)=phi*t
E.x(t)=t^3
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We know that A=x"(t).We also know that for any constant function n(x) that n'(x)=0.Similarly,for any linear function o(x),o"(x)=0.A,C, and E are all not linear,while B and D are,meaning that B and D have a constant acceleration of 0,so they can never describe the particle.