A particle starts moving from time t=0 and its coordinate is given as x(t)=4t³-3t. Consider the following stat…

Question

A particle starts moving from time $$t=0$$ and its coordinate is given as $$x(t)=4t^3-3t.$$ Consider the following statements:

[A.] The particle returns to its original position (origin) $$0.866$$ units later.
[B.] The particle is $$1$$ unit away from origin at its turning point.
[C.] Acceleration of the particle is non-negative.
[D.] The particle is $$0.5$$ units away from origin at its turning point.
[E.] The particle never turns back as acceleration is non-negative.

Choose the correct answer from the options given below:

Accepted Answer

B. A, B, C Only

Answer

A. C, E Only

Answer

C. A, C, D Only

Answer

D. A, C Only

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