SOLUTION: Please help me solve my homework question: A particle moves in a straight line and has a acceleration given by a(t)=7t + 8. Its initial velocity is V(0)= 9 cm/s and its displace

Question 877658: Please help me solve my homework question:
A particle moves in a straight line and has a acceleration given by a(t)=7t + 8. Its initial velocity is V(0)= 9 cm/s and its displacement is s(0)=10 cm. Find its position function s(t).
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Acceleration is the second derivative of position and the first derivative of velocity.
Integrate with respect to time.

Using the intial condition,

Integrating again with respect to t.

Again use the initial condition to solve for C.

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