Question: Exercises refer to Examples 9 and 10 in this section. Suppose a(t) = (15/2)t + 3e-t, v(0) = -3, and s(0) = 4. Find s(t).

Exercises refer to Examples 9 and 10 in this section.

Suppose a(t) = (15/2)√t + 3e-t, v(0) = -3, and s(0) = 4. Find s(t).

Examples 9

Suppose the velocity of an object at time t is v(t) = 6t² - 8t and that the object is at 5 when time is 0. Find s(t), the function that gives the position of the object at time t.

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