4. For an object whose velocity in ft/sec is given by v(t) = 2t2 + 8, what is it

Question

4. For an object whose velocity in ft/sec is given by v(t) = 2t2 + 8, what is its distance travelled, in feet, on the interval t = 0 to t = 3 secs?

a. 6.00 b. 0.67 c. 15.33 d. 5.11

5. For an object whose velocity in ft/sec is given by v(t) = t2 + 2, what is its displacement, in feet, on the interval t = 0 to t = 2 secs?

a. 1.333 b. 2.438 c. 2.667 d. 4

6. Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y = ex, x = 1, and y = 1 is revolved around the line y= 2.

Explanation / Answer

(4) s = v dt = (-2t^2 + 8) dt = (-2/3)t^3 + 8t

Over the interval [0, 3], the distance covered is (-2/3)(3)^3 + 8(3) = 6

Answer: Option (a)

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