A particle moves along a line, and its position s (in meters) after t seconds is given by s(t) = t2 + 3t 4. a. What is its initial position? b. Where is it located after 2 seconds? c. At what time is the particle at position s = 36? d. Recall that the average velocity of any moving object is given by the ratio between the change in its position and the change in time. That is, change in position As s(tfinal)-s(tinitiai) trinal - tinitial average velocity = change in time At Can we use the formula above to compute the particle's velocity at the instantwhen time t = 1? Explain.