Bryant and Stratton College Cleveland Campus Acceleration and Velocity Exercises

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nun123

Mathematics

Bryant and Stratton College Cleveland Campus

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I'm working on a calculus multi-part question and need support to help me learn.

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1. Suppose the position equation for a moving object is S(t) = -4tº +8t, where S is measured in decameters and t is measured in microseconds. a) What is the average velocity of the object from 1 to 2 microseconds? include units in the answer. b) What is the instantaneous velocity of the object at t=2 microseconds? include units in the answer. c) What is the acceleration of the object at t=2 microseconds? include units in the answer. d) Find the velocity of the object when it hits the ground. include units in the answer. e) Find the maximum height of the object. 1 at the point (-4,-3). 2. Find the equation of the line tangent to y = x-2 x + 6 Provide your answer in slope intercept form. 3. You are given the following information. f(0) = 5 f'(0) = 3 f(2) - 1 f'(2) = 5 g(0) = 2 g'(0) = 4 8(2) = 0 g' (2) - 4 Use this information to find each of these derivatives. Show all calculations. a) (fºg)'(2) - b) If k(x) = f(cosx), find k' 이 4. Find the 54th derivative of the function f(x) = 2 - 4 sin(2x). You must show all supporting work for full credit. 2
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