5. A bug moves along the x-axis with position s(t) = 2t –15t² + 24t +8 for t 2 0 (x in meters, 1 %3D in seconds.) a. Find the bug's velocity at time t. b. When is the bug at rest? c. When is the bug moving forward? d. Find the bug's acceleration as a function of time. e. What is the distance traveled by the bug in the first 5 seconds? f. When is the bug slowing down?

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