# Differential Equations : Particle Position at Time

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

https://brainmass.com/math/calculus-and-analysis/differential-equations-particle-position-time-33149

#### Solution Preview

The answer is A.

Suppose the position of the partical is y and the time is t.

Then the velocity is y'(t) and the acceleration is y"(t).

From the ...

#### Solution Summary

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

$2.19