An object moves along a line where s(t) = t^3 − 12t^2 + 36t − 30 (where s(t) is in feet and t in seconds).
1) When is the velocity 0?
2) When is the velocity positive?
3) When is the object moving to the left?
4) When is the acceleration positive?
5) Sketch a picture of its motion.
Please label the numbers of the answers.
5. Let s(t)=ť -12t² +36t+7, 120 be a position function with s measured in feet and t in seconds. 6 points each) a) Find the velocity and acceleration functions. v(t)= a(t)= b) Determine the time or times, t, for which the object is at rest. 6. Let A=In(x2u?) where u and A are functions of t. Find A when u=21 and du = 99. (7 points)
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