# Important information about Differential Equations : Particle Position at Time = t Seconds

2. A particle moves along a straight line so that its acceleration at time t seconds is (t + 1)2 cm/sec2. The particle's position at time t = 0 is at the origin, and its initial velocity is 1 cm/sec. What is the position of the particle, in cm. at time t seconds?
A.((t+1)4/12)+(2/3)t-1/12 B.((t+1)4/12)+(2/3)t+1/12 C.((t+1)4+2t-1)/3
D.((t+1)4+2t+1)/3 E.((t+1)4-1)/4

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Solution Summary

Particle Position at Time = t Seconds is calculated using a Differential Equation.

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Yupei Xiong, PhD

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Extracted Content from Question Files:

• diffeq2.doc

2. A particle moves along a straight line so that its acceleration at
time t seconds is (t + 1)2 cm/sec2. The particleâ€™s position at time t =
0 is at the origin, and its initial velocity is 1 cm/sec. What is the
position of the particle, in cm. at time t seconds?

A.((t+1)4/12)+(2/3)t-1/12 B.((t+1)4/12)+(2/3)t+1/12 C.((t+1)4+2t-1)/3

D.((t+1)4+2t+1)/3 E.((t+1)4-1)/4

solution

Pls explain in detail, thx, why the correct answers is orrecy & why thr wrong choices are
wrong