Assignment:
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
Provide complete and step by step solution for the question and show calculations and use formulas.